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In this paper we investigate further properties of the de- formable derivative and use the results to study the existence of solu- tions to the integro-differential equation ..., with initial condition y(0) = y0; where Dαy(t) is the deformable derivative of y, 0 < α < 1. We useWeissinger's fixed point theorem and Krasnoselskii's fixed point theorem to achieve our main results. An example is provided for illustration. [ABSTRACT FROM AUTHOR]

In this paper, the dynamics of a modified Nicholson-Bailey model as a discrete dynamical system has been studied. Local dynamics in a neighborhood of boundary fixed points are investigated. It is also proved that the model has a unique positive fixed point and a Neimark-Sacker bifurcation emerges at this fixed point. Some numerical simulations are presented to illustrate the analytical results. [ABSTRACT FROM AUTHOR]

In this paper, we use the concept of a generalized - Geraghty contraction type mapping to introduce the new notion of - Geraghty type F-contraction multivalued mapping and prove some new common fixed point results for such contraction in b-metric-like spaces. Also, we give some examples to illustrate our main results, we also discuss existence a solution for a system of non-linear integral equation. [ABSTRACT FROM AUTHOR]

Let G be a graph with n vertices and m edges. The minimum edge dominating energy is defined as the sum of the absolute values of eigenvalues of the minimum edge dominating matrix of the graph G. In this paper, some lower and upper bounds for the minimum edge dominating energy of graph G are established. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the concept of F--G--contraction mappings in F-metric spaces endowed with a graph and give some fixed point results for such contractions. Our results are generalization of some famous theorem in metric spaces to F--metric spaces endowed with a graph. Also, we give some examples that support obtained theoretical results. [ABSTRACT FROM AUTHOR]

In this paper, we will investigate the existence of some solutions for a multi singular fractional differential system with some boundary conditions. [ABSTRACT FROM AUTHOR]

In this paper, we study the existence of nontrivial solutions for a fractional boundary value problem in Hölder spaces by a technical approach based on Leray-Schauder nonlinear alternative. Moreover, using the concept of orthogonal set on Banach fixed point theorem we obtain another existence result with weaker conditions. Also, recent results are extended and improved. In addition, we give some examples to illustrate the feasibility and effectiveness of our results. [ABSTRACT FROM AUTHOR]

In this paper, an iterative method is extended to solve nonlinear two- and three-dimensional mixed Volterra-Fredholm integral equations. We consider a nonlinear operator of these integral equa- tions and then develop the iterative method which was introduced in [J MATH ANAL APPL. 316 (2006) 753-763] to solve them. Conver- gence property of the suggested schemes are proved under some mild assumptions. In both cases, numerical examples are given to compare the performance of the proposed method with some existing methods. [ABSTRACT FROM AUTHOR]

In this paper, we study coposinormal composition operators and posinormal weighted composition operators on the Hardy space H²(D). We show that if Wψ,φ is coposinormal on H²(D), then ψ never vanishes on D also we prove that φ is univalent. Moreover, we study the commutant of a coposinormal weighted composition operator. [ABSTRACT FROM AUTHOR]

This paper deals with the existence and uniqueness results for a class of impulsive boundary value problem for implicit nonlinear fractional differential equations and k-Generalized ψ-Hilfer fractional derivative involving both retarded and advanced arguments. Our results are based on the Banach contraction principle and Schauder's fixed point theorem. Suitable illustrative examples are provided. [ABSTRACT FROM AUTHOR]

This paper presents sufficient conditions for the existence of positive solutions for the nonlinear Hammerstein and quadratic integral inclusion. In this way, we use concave multifunctions and fixed point theory for obtaining or results. In fact, for solving the Hammerstein integral inclusion problem, we use fixed point of some concave multifunctions. [ABSTRACT FROM AUTHOR]

In this paper, we present a BOX mathematical model for the release of COVID-19. We intend to generalize the model to fractional order derivative in Atangana-Baleanu sense and to show the existence of solution for the fractional model using Schaefer's fixed point theorem and for the uniqueness of solution we make use of Banach fixed point theorem. By using Shehu transform and Picard successive iterative procedure, we explore the iterative solutions and its stability for the considered fractional model. Given the beginning of a new wave of COVID-19 spread in Indonesia, we present a numerical simulation to study and predict the spread of the disease in this country. [ABSTRACT FROM AUTHOR]