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The paper presents the effect of cold plasma (RF-Ar low-pressure plasma) on Moringa oleifera seeds. Five groups of seeds characterized by the different exposure times (1, 5, 10 and 15 mints) as well as untreated seeds. The highest germination parameters were obtained for seeds treated for the exposure times of 1 min. Analysis of the data showed a statistically significant impact of RF plasma on the seeds germination parameters. The surface properties of the plasma-treated samples are examined using scanning electron microscopy (SEM). Improvements appeared in the germination percentage and germination potential of the treated seeds and increase in the length of the plant for seeds exposed to the RF plasma at treatment time 1 and 5 min. from 4,32% to 26.40% for roots and from 15.91 % to 18.62 % for shoots, respectively. Also, it is observed that the weight of seeds increased for the samples treated at 1 and 5 min from 4.89% to 6.22%, and the weight of the shoots is increased from 6.19% to 6.93%. [ABSTRACT FROM AUTHOR]

A proper vertex colouring is called a 2-dynamic colouring, if for every vertex v with degree at least 2, the neighbours of v receive at least two colours. The smallest integer k such that G has a dynamic colouring with k colours denoted by χ 2 (G). We denote the cartesian product of G and H by G ◻ H. In this paper, we find the 2-dynamic chromatic number of cartesian product of complete graph with complete graph K r ◻ K s , complete graph with complete bipartite graph K n ◻ K 1 , s and wheel graph with complete graph W l ◻ K n . [ABSTRACT FROM AUTHOR]

This paper is concerned with the pth moment globally exponential ultimate boundedness of stochastic integro-differential systems with Lévy noise. With the help of the Lyapunov function methods and the inequality techniques, several sufficient criteria on the exponential ultimate boundedness are presented for the systems. The results show that the boundedness was determined by the coefficients in the estimation of the Itô operator L V of the energy function V along the trajectories of the addressed systems. [ABSTRACT FROM AUTHOR]

This paper aims to originate two new notions that are soft rough Pythagorean fuzzy set and Pythagorean fuzzy soft rough set, and investigate some important properties of soft rough Pythagorean fuzzy set and Pythagorean fuzzy soft rough set in detail. Furthermore, classical representations of Pythagorean fuzzy soft rough approximation operators are presented. Then the proposed operators are applied on decision-making problem in which the experts provide their preferences in Pythagorean fuzzy soft rough environment. Finally through an illustrative example, it is shown that how the proposed operators work in decision-making problems. [ABSTRACT FROM AUTHOR]

In this paper, we study how to construct a planar cubic G1 Hermite interpolation curve with minimal length and curvature variation energy. This problem is solved by a bi-objective optimization model. We prove that there is a unique solution to this problem and give the expression of the solution. Some numerical examples show that the proposed method makes the curvature variation energy of the curve as small as possible when the length of the curve as short as possible. [ABSTRACT FROM AUTHOR]

In this paper, we analyses the asymptotical stability of the system in the form T α y (τ) = A y (τ) + f (τ , y (τ)) with the initial value y (τ 0) = y 0 . With the help of the Grönwall's Inequality and function analysis, we have proved asymptotical stability of solution for the conformable fractional system. Two examples are included to apply the results. [ABSTRACT FROM AUTHOR]

The existing Bartlett's test and Hartley's test under classical statistics can be applied only when all observations in the sample are determined, precise and determinate. In some complex situations, it may not possible to measure the exact observations. In this case, the neutrosophic statistics is applied for the decision. In this paper, we present Bartlett's test and Hartley's test under the neutrosophic statistics. We present the designing for the proposed tests under neutrosophic statistical interval method. We present an example and compare the proposed neutrosophic Bartlett's test and Hartley's test over the existing tests under classical statistics. From the comparative study, we conclude that the proposed tests are quite effective, informative and flexible to be applied under the indeterminate environment. [ABSTRACT FROM AUTHOR]

The aim of this paper is to propose a new flexible model with one parameter. Several statistical properties and reliability characteristics of the proposed model are discussed. The maximum likelihood method is used to estimate the model parameter under complete and Type II censored samples. Simulation is conducted to estimate both the relative absolute bias and the relative mean square error for the model parameter. Finally, three real data sets are analyzed to investigate the applicability of the proposed model. [ABSTRACT FROM AUTHOR]

This paper presents several results from the study of certain properties of G-algebras. More precisely, we will show that, if N is a normal subset of a finite G-algebra X, then the order of N divides the order of X. In addition, we will give an important result about the set of derivations on a finite G-algebra X, and give a condition on this set to determine the commutativity and the associativity of X. [ABSTRACT FROM AUTHOR]

Growth and characterization of nonlinear optical (NLO) crystal of (((4-aminophenyl)sulphonyl)oxy)zinc(II)chloride (4-ASZC), based on zinc chloride with sulphanilic acid by the slow evaporation method has been studied and reported in this paper. The single crystal X-ray diffraction study confirmed the monoclinic system with centrometric space group P21. The sharp Bragg's peak in powder X-ray diffraction analysis identifies the crystalline nature. Optical properties, such as low cut-off wavelength (251 nm), optical band gap (Eg = 4.40 eV), reflectance (R), extinction coefficient (K) and refractive index (n), are calculated from the UV-vis-NIR spectrum. The presence of functional groups are confirmed by the FT-IR spectroscopy. The placement of protons and carbons was determined by the NMR technique. The photoluminescence study shows the green light emission. The grown crystal is thermally stable up to184°C. The NLO efficiency is 0.5 times greater than that of standard KDP. The mechanical properties were analysed. The dielectric constant (ϵ), dielectric loss (ϵ′), imaginary dielectric constant (ϵ″), AC conductivity (σ a c) and Cole–Cole graphs were plotted. The surface morphology and the particle size of the crystal were determined by the FESEM technique. [ABSTRACT FROM AUTHOR]

An outer-independent k-rainbow dominating function of a graph G is a function f from V (G) to the set of all subsets of { 1 , 2 , ... , k } such that both the following hold: (i) { 1 , ... , k } = ⋃ u ∈ N (v) f (u) whenever v is a vertex with f (v) = ∅ , and (ii) the set of all v ∈ V (G) with f (v) = ∅ is independent. The outer-independent k-rainbow domination number of G is the invariant γ o i r k (G) , which is the minimum sum (over all the vertices of G) of the cardinalities of the subsets assigned by an outer-independent k-rainbow dominating function. In this paper, we initiate the study of outer-independent k-rainbow domination. We first investigate the basic properties of the outer-independent k-rainbow domination and then we focus on the outer-independent 2-rainbow domination number and present sharp lower and upper bounds for it. [ABSTRACT FROM AUTHOR]

In this paper, we introduced a new concept of p τ embedded subgroups which belongs to an embedded class of subgroups of finite groups. A subgroup H of a group G is said to be a partially τ-embedded subgroup in G if there exists a normal subgroup K of G such that HK is normal in G and H ∩ K ≤ H p τ G where H p τ G generated by all those subgroups of H which are partially τ-quasinormal in G. We investigate the influence of some p τ -embedded subgroups with prime power order on the structure of a finite group G. Some new criteria about the p-nilpotency and supersolubility of a finite group were obtained. Our results also generalized some earlier ones about formations. [ABSTRACT FROM AUTHOR]

In this paper, we will study solution existence and its stability for hybrid fractional DE with fractional integral, fractional differential derivative and Φp-operator in Caputo sense. Our problem deals with two basic types of fractional order derivatives, that is, Riemann-Liouville derivative of order δ and Caputo fractional derivative of order λ , where n − 1 < λ , σ ≤ n , and n ≥ 3. We will transform the problem into an integral equation by using Green function and examine whether it is increasing or decreasing and positive or negative function. Some fixed point theorems (Krasnoselskii Theorem) are utilized for the existence of a positive solution (EPS). Addition to studying HU-stability technique for our suggested problem. An example is included to apply the results. [ABSTRACT FROM AUTHOR]

In the paper, by the Faà di Bruno formula, several identities for the Bell polynomials of the second kind, and an inversion theorem, the authors simplify coefficients in two families of nonlinear ordinary differential equations for the generating function of the Catalan numbers. [ABSTRACT FROM AUTHOR]

For a graph G , an edge irregular total r -labelling π : V ∪ E → { 1 , 2 , 3 , ... , r } is a labelling for edges and vertices of a graph G in such a way that the weights of any two different edges are distinct. The minimum for which G admits an edge irregular total r -labelling is called total edge irregularity strength of G , t e s (G). In this paper, the exact value of total edge irregularity strength of the polar grid graph was determined. We have also determined the total edge irregularity strength for a polar grid graph. [ABSTRACT FROM AUTHOR]

In this paper, we define almost (m , n) -ideals of semigroups by using the concepts of (m , n) -ideals and almost ideals of semigroups. An almost (m , n) -ideal is a generalization of (m , n) -ideals and a generalization of almost one-sided ideals. We investigate properties of almost (m , n) -ideals of semigroups. Moreover, we define fuzzy almost (m , n) -ideals of semigroups and give relationships between almost (m , n) -ideals and fuzzy almost (m , n) -ideals. [ABSTRACT FROM AUTHOR]

A module M over an associative ring R with unity is a QTAG-module if every finitely generated submodule of any homomorphic image of M is a direct sum of uniserial modules. In this paper we investigate the class of QTAG-modules whose every separable module is a direct sum of uniserial modules; such modules are called ω-totally ω-projective. We discuss an interesting characterization of this class and we show that the class of (ω + n) -totally (ω + n) -projective modules contains the class of ω-totally ω-projective modules. [ABSTRACT FROM AUTHOR]

In this paper, authors devoted to study a fully fuzzy fractional multi-objective transportation problem by using goal programming approach. Also trapezoidal membership functions are applied to each objective function and constraints to describe a each fuzzy goal. A numerical example is provided to illustrate the efficiency of the multi-objective proposed approach. [ABSTRACT FROM AUTHOR]

This paper poses the Riccati–Bernoulli sub-ODE method in order to find the exact (random) travelling wave solutions for the (2+1)-dimensional cubic nonlinear Klein–Gordon (cKG) equation and the (2+1)-dimensional nonlinear Zakharov–Kuznetsov modified equal width (ZK-MEW) equation. The obtained travelling wave solutions are expressed by the hyperbolic, trigonometric and rational functions. Indeed, these solutions reflect some interesting physical interpretation for nonlinear phenomena. We discuss our method in deterministic case and in a random case. Additionally, we can show and discuss this method under some random distributions. Finally, some three-dimensional graphics of some solutions have been illustrated. [ABSTRACT FROM AUTHOR]

In this paper, we extend the characterizations of Kuroki [Regular fuzzy duo rings. Inform Sci. 1996;96:119–139], by initiating the concept of fuzzy left (resp. right, interior, quasi-, bi-, generalized bi-) ideals in a class of non-associative and non-commutative rings (LA-ring). We characterize regular (intra-regular, both regular and intra-regular) LA-rings in terms of such ideals. [ABSTRACT FROM AUTHOR]

Reproducing kernel Hilbert space method is given for the solution of generalized Kuramoto–Sivashinsky equation. Reproducing kernel functions are obtained to get the solution of the generalized Kuramoto–Sivashinsky equation. Two examples have been introduced to prove the accuracy of the method. The obtained results show that the reproducing kernel Hilbert space method gives approximate analytical solutions which are very close to the exact solution of the generalized Kuramoto–Sivashinsky equation, which demonstrates the power of the proposed technique. We prove the efficiency of the reproducing kernel Hilbert space method in this paper. [ABSTRACT FROM AUTHOR]

In mathematics, one always tries to get new structures from given ones. This also applies to the realm of graphs, where one can generate many new graphs from a given set of graphs. In this paper, we derive simple formulas of spanning trees of some families of graphs generated by triangle using linear algebra and the knowledge of difference equations. Finally, we compare the entropy of our graphs with other studied graphs with the average degree being 4 and 6. [ABSTRACT FROM AUTHOR]

In this paper, we propose a new numerical method for solving system of integro-differential equations featuring Volterra and Fredholm integrals. The proposed method depends on the successful application of the Discrete Adomian Decomposition Method (DADM) to solve highly complicated functional equations coupled with some numerical integration schemes of Trapezoidal and Simpson rules. The scheme is further simulated with the aid of symbolic computation and demonstrated on some test problems. We then carried out error analysis in comparison with some existing methods revealed that the present method is superior due to the high level of accuracy and less computational steps. [ABSTRACT FROM AUTHOR]

In this paper, two classes of methods are developed for the solution of two-dimensional elliptic partial differential equations. We have used tension spline function approximation in both x and y spatial directions and a new scheme of order O (h 4 + k 4) has been obtained. The convergence analysis of the methods has been carried out. Numerical examples are given to illustrate the applicability and accurate nature of our approach. [ABSTRACT FROM AUTHOR]

Elsonbaty and Daoud introduced a new type of labelling of a graph G with p vertices and q edges called an edge even graceful labelling. A graph G is called edge even graceful if there is a bijection f : E (G) → { 2 , 4 , ... , 2 q } such that, when each vertex is assigned the sum of all edges incident to it mod 2 k , where k = max (p , q) , the resulting vertex labels are distinct. In this paper we proved that double fan graphs, quadrilateral friendship graphs, and butterfly graphs are edge even graceful graphs. [ABSTRACT FROM AUTHOR]

In this paper, making use of a new integral operator defined in the open unit disk we introduce and study a new class of simply connected convex domain of analytic and univalent functions. We derive some inclusion results and its geometric properties. Moreover, we discuss analytic criteria for a member of the simply connected convex domain to be a member of the class of functions with positive real part greater than μ. [ABSTRACT FROM AUTHOR]

The present paper reports a simple theoretical study of the pressure dependence of compressibility of bulk and the nano crystalline SnO2 of three different sizes (3, 8 & 14 nm) by using Equation of state model. The present work demonstrates the effect of size and pressure on compression and shows that the compressibility of nano-crystals depends upon size. The comparison of present results with available experimental data proves the validity of present model at bulk as well as nano scale. It is also found in this study that compressibility increases with decreasing particle size which is consistent with other available experimental and theoretical data. [ABSTRACT FROM AUTHOR]

In this paper, we introduce a new distribution generated by an integral transform of the probability density function of the weighted exponential distribution. This distribution is called the weighted exponential-Gompertz (WE-G). Its hazard rate function can be increasing and bathtub-shaped. Several statistical properties of the new model are obtained, such as moment generating function, moments, conditional moments, mean inactivity time, mean residual lifetime and Rényi entropy. The maximum likelihood estimation of unknown parameters is introduced. A real data application demonstrates the performance of the new model. [ABSTRACT FROM AUTHOR]

The aim of paper is to analyse some qualitative properties of solutions of nonlinear Volterra integro-differential equations (VIDDEs) with constant delay and Volterra integro-differential equations (VIDEs) without delay by means of the Razumikhin method. A suitable Lyapunov function is defined and then applied to that IDEs such that some former results can be obtained under weaker conditions and additionally some new results are given on the qualitative properties of that IDEs such as uniformly stability and integrability of solutions. For the VIDDEs with constant delay, the improved less conservative conditions of the stability, asymptotically stability and the boundedness of solutions and the new conditions of uniformly stability, integrability of solutions are all derived subject to the functions appeared in the considered IDEs. Moreover, the established stability, asymptotically stability and boundedness conditions of VIDDEs with constant delay simplify, extend and improve some previous works can be found in the literature and remove some unnecessary conditions. Finally, the validity of the presented results is indicated by some numerical examples using MATLAB-Simulink. [ABSTRACT FROM AUTHOR]

The notion of bialgebraic structures was discussed by Vasantha Kandasamy [Bialgebraic structures and Smarandache bialgebraic structures. India: American Research Press; 2003]. The main target of this paper is to introduce the notions of a KU-bialgebra, a KP-bialgebra, a PK-bialgebra, and a UP-bialgebra and the notions of a UP-bisubalgebra, a UP-bifilter, a UP-biideal, and a strongly UP-biideal of UP-bialgebras, and prove the generalization of the notions and some results related to a UP-subalgebra, a UP-filter, a UP-ideal, and a strongly UP-ideal of UP-algebras. Furthermore, we introduce the notion of a UP-bihomomorphism and study the image and inverse image of a UP-bisubalgebra, a UP-bifilter, a UP-biideal, and a strongly UP-biideal of UP-bialgebras under a UP-bihomomorphism. Finally, we have the generalization diagram of KU/KP/PK/UP-bialgebras (see Figure 1) and the diagram of special subsets of UP-bialgebras (see Figure 2). [ABSTRACT FROM AUTHOR]

In this paper, we use the method of the alpha power transformation to introduce a new generalized alpha power inverse Weibull (APIW) distribution. Its characterization and statistical properties are obtained, such as reliability, moments, entropy and order statistics. Moreover, the estimation of the APIW parameters is discussed by using maximum likelihood estimation method. Finally, the application of the proposed new distribution to a real data representing the waiting time before customer service in the bank is given and its goodness-of-fit is demonstrated. In addition, comparisons to other models are carried out to illustrate the flexibility of the proposed model. [ABSTRACT FROM AUTHOR]

This paper deals with existence, uniqueness and global behaviour of a positive solution for the fractional boundary value problem D β (ψ (x) Φ p (D α u)) = a (x) u σ in (0 , 1) with the condition lim x → 0 D β − 1 (ψ (x) Φ p (D α u (x))) = lim x → 1 ψ (x) Φ p (D α u (x)) = 0 and lim x → 0 D α − 1 u (x) = u (1) = 0 , where β , α ∈ (1 , 2 ] , Φ p (t) = t | t | p − 2 , p>1, σ ∈ (1 − p , p − 1) , the differential operator is taken in the Riemann–Liouville sense and ψ , a : (0 , 1) ⟶ R are non-negative and continuous functions that may are singular at x=0 or x=1 and satisfies some appropriate conditions. [ABSTRACT FROM AUTHOR]

This paper presents the effect of Albedo on the behaviour of the fourth body in the CR4BP with the variation of masses of all bodies. By using Meshcherskii transformation, we have determined the equations of motion and found how Jacobi-integral constant varies with time due to variable masses. We have plotted the Lagrangian points, the periodic orbits, Poincaré surface of sections and basins of attraction for four cases (a. Classical Case, b. Variation of mass, c. Solar radiation pressure effect, d. Albedo effect). And then, we checked the stability of Lagrangian points at the Albedo effect only and got all the points are unstable. [ABSTRACT FROM AUTHOR]

In this paper, we study the cooperation between two searchers start the searching process from the origin to meet a Brownian moving target on a real line. We find the conditions that make the expected value of the first meeting time between one of the searchers and the target is finite. This is the first model which calculates the approximate value for the expected value of the first meeting time. An illustrative example has been given to demonstrate the applicability of this model. [ABSTRACT FROM AUTHOR]

This paper examines the effect of joule heating and MHD on peristaltic blood flow of a Eyring–Powell nanofluid in a non-uniform channel. The transport equations involve the combined effects of Brownian and Thermophoresis diffusion of nanoparticles. The mathematical modelling is carried out by utilizing long wavelength and low Reynolds number assumptions. The energy equation is modelled by taking joule heating effect. The resulting nonlinear system of partial differential equations is solved for the stream function, velocity, pressure gradient, concentration and temperature distributions with the help of the Homotopy Analysis Method. The effect of various physical parameters on the flow characteristics is shown and discussed with the help of graphs. Pressure gradient gives opposite behaviour with increasing values of Eyring–Powell fluid parameters A and B. Pressure gradient decreases by increasing Hartman number and joule heating. Nanoparticle concentration increases with increasing thermophoresis parameter, but the reverse trend is observed with the effect of Brownian motion parameter. [ABSTRACT FROM AUTHOR]

Modelling a chemical compound by a (molecular) graph helps us to obtain some required information about the chemical and physical properties of the corresponding molecular structure. Linear algebraic notions and methods are used to obtain several properties of graphs usually by the help of some graph matrices and these studies form an important sub area of Graph Theory called spectral graph theory. In this paper, we deal with the sum-edge matrices defined by means of vertex degrees. We calculate the sum-edge characteristic polynomials of several important graph classes by means of the corresponding sum-edge matrices. [ABSTRACT FROM AUTHOR]

In this paper, we apply a new definition of truncated distribution "Internal Truncated Distribution" on the Wiener process range distribution to delete a few stochastic volatility intervals from its domain. A comprehensive treatment of the statistical properties of this distribution is presented. The usefulness of the proposed distribution is illustrated with the help of a real data set. [ABSTRACT FROM AUTHOR]

In this paper, a new approach for the accurate numerical solution of the Benjamin–Bona–Mahony (BBM) equations with the initial and boundary conditions using Laguerre wavelets is presented. This method is based on the truncated Laguerre wavelet expansions used to convert the initial and boundary value problems into systems of algebraic equations which can be efficiently solved by suitable solvers. Illustrative examples are included to demonstrate the validity and applicability of the technique. Numerical results show the efficiency and accuracy of the present method. [ABSTRACT FROM AUTHOR]

In the present paper, G ′ / G 2 expansion method is applied to the space-time fractional third order Korteweg-De Vries (KdV) equation, space-time fractional Caudrey-Dodd-Gibbon (CDG) equation, space-time fractional (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff (CBS) equation and space-time fractional (2+1)-dimensional Ablowitz-Kaup-Newell-Segur (AKNS) equation. Here, the fractional derivatives are described in conformable sense. The obtained traveling wave solutions are expressed by the hyperbolic, trigonometric, exponential and rational functions. The graphs for some of these solutions have been presented by choosing suitable values of parameters to visualize the mechanism of the given nonlinear fractional evolution equations. [ABSTRACT FROM AUTHOR]

In this paper, an optimal boundary control problem for a distributed elliptic system on Lipschitz domains with boundary homogeneous Dirichlet conditions and independently with Neumann conditions is analysed. The necessary and sufficient optimality conditions for such problems with the quadratic cost functionals are obtained. A Jacobi spectral Galerkin method is introduced to develop a direct solution technique for the numerical solution of elliptic problems subject to Dirichlet and Neumann conditions in one and two dimensions. The numerical examples are included to demonstrate the validity and applicability of the techniques and comparison is made with the existing results. The method is easy to implement and yields very accurate results. [ABSTRACT FROM AUTHOR]

The aim of this paper is to improve and generalize some results stated in Ghobber (A variant of the Hankel multiplier. Banach J Math Anal. 2018;12(1):144–166). We also give new results about the boundedness and compactness of Hankel two-wavelet multipliers on the space L α p (R +) for 1 ≤ p ≤ ∞. [ABSTRACT FROM AUTHOR]

In this paper, as a generalization of the concepts of left filters, right filters and filters of ordered semigroups, the concepts, for any positive integers m and n, of left-m-filters, right-n-filters and (m , n) -filters in ordered semigroups have been introduced and some properties of these generalized notions have been investigated. Finally left-m-filters (resp. right-n-filters, (m , n) -filters) of (m , 0) -regular (resp. (0 , n) -regular, (m , n) -regular) ordered semigroups have been characterized in terms of its prime generalized (m , 0) -ideals (resp. (0 , n) -ideals, (m , n) -ideals). [ABSTRACT FROM AUTHOR]

In this paper, the induced sequence of folding and unfolding on the fundamental group will be obtained from a sequence of folding and unfolding on a manifold. The limit of folding and unfolding on the fundamental group is deduced. The sequences of the commutative diagram of fundamental groups will be achieved from the sequences of the commutative diagram of manifolds. The connection between a manifold and a fundamental group is assigned. [ABSTRACT FROM AUTHOR]

In this paper, a new algorithm for tackling nonlinear constrained multi-objective optimization problems is introduced. This algorithm, which we call relaxed the interactive sequential hybrid optimization technique (relaxed I-SHOT), is based on a hybrid method between the I-SHOT method and step method (STEM) to transform a multi-objective problem into a single-objective one. An active set strategy is used together with a suggested penalty method to transform a single-objective constrained optimization problem into unconstrained one. A trust-region globalization strategy is added to the algorithm to solve the obtained unconstrained problem to ensure global convergence. The suggested approach is utilized to solve the multi-objective economic emission load dispatch (EELD) problems to assert the effectiveness of the proposed algorithm. The proposed algorithm is tested on the standard IEEE 30-bus 6-generator test system. The results of the proposed approach are compared against those reported in the literature. The comparison asserts the potential of the proposed algorithm to solve the EELD problem. [ABSTRACT FROM AUTHOR]

Boesh and Prodinger have shown how to use properties of Chebyshev polynomials to compute formulas for the number of spanning trees of some special graphs. In this paper, we extend this idea for some operations on graphs such as, Join and Corona of two graphs and , if and are one of the following graphs: (i) Path graph , (ii) Cycle graph , (iii) Complete graph , (iv) Complete bipartite , (v) Hypercube graph , (vi) Fan graph and (vi) Wheel graph . [ABSTRACT FROM AUTHOR]

In this paper, recursive solution schemes for different boundary value problems and initial-boundary value problems of partial differential equations with Neumann boundary conditions are proposed. The schemes are based on the Lesnic's approach and the Advanced Adomian decomposition method (AADM). The Lesnic's approach to homogeneous and inhomogeneous initial-boundary value problems was generalized. Also, the AADM to initial-boundary value problems was extended. Some examples were presented to demonstrate the high accuracy and efficiency of the proposed schemes. [ABSTRACT FROM AUTHOR]

From last few decades criminal activities and terror attacks have been increased. In a big city or in highly populated city, it is very difficult to keep under surveillance each and every area of that city throughout whole day and night. Since, it will require huge amount of deployment of police duty and such type of deployment can cause heavy work load on the enforcement agencies. It has been seen that, some types of areas are often targeted by terrorist than others, mainly train junctions, bus stoppages, market places, near temples etc. In this paper, a new aggregation operator on generalized triangular fuzzy number has been defined. Through the newly developed aggregation operator, a fuzzy multi criteria decision making approach has been constructed which enables us to determine the area of a city which may be the potentially under threat, during any interval of time on a regular working day. [ABSTRACT FROM AUTHOR]

This paper documents the semi-analytical results for transient natural convection fluid flow between two concentric vertical cylinders of infinite lengths in the presence of anisotropic porous medium and stratified fluid. The solutions for the time-dependent coupled second order partial differential equations modelling the flow formation are obtained by using trio-methods: Laplace transform techniques, a numerical procedure based on the Riemann Sum Approximation method and D’Alembert method. Line graphs and contour maps for the fluid velocity and temperature profiles are presented for different physical parameters of interest featuring in the solutions. The inclusion of the stratification and anisotropic parameters in the model has been found to aid the regulation of the fluid flow. Furthermore, from the numerical simulation conducted, it is found that for some saturated stratified fluids, the steady and transient state velocities (as well as the temperatures of the fluid) coincide at large time. [ABSTRACT FROM AUTHOR]

In this paper, we use the Hahn integral operator for the description of new generalization of Minkowski’s inequality. The use of this integral operator definitely generalizes the classical Minkowski’s inequality. Our results with this new integral operator have the abilities to be utilized for the analysis of many mathematical problems as applications of the work. [ABSTRACT FROM AUTHOR]

This paper has investigated the synthesis and characterization of CuO-coated goethite and its application in the removal of mercury. The presence of CuO coating significantly modified the adsorption pattern of mercury on goethite. The synthesis was carried out in a trimetric manner and characterization was conducted using standard laboratory procedures. Batch mode technique under reducing conditions at ambient temperature was used to determine mercury adsorption on CuO-coated goethite. Reaction mechanism indicated a less than one proton coefficient (0.68), an intraparticle diffusion that was controlled by boundary layer, an intercept C equals to 444.45, ≠0 and mass transfer rates (8.752-6 cm h-1 and 7.216-7 cm h-1) higher than those of previous studies. [ABSTRACT FROM AUTHOR]