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In this study we deal with the control system described by tempered E-Hilfer fractional derivative. By using fractional calculus, Kuratowskii's measure of non compactness and Sadovskii's fixed point theorem for the considered problem are established. [ABSTRACT FROM AUTHOR]

Iii this manuscript, we study the existence and uniqueness of solutions for a boundary value problem for fuzzy fractional differential equations involving tempered E-Hilfer fractional derivatives on time scales. The results are obtained by using the Banach contraction principle and Schaefer's fixed point theorem. In addition. we discuss the Ulam stability of its solutions. At the end, an example is given to illustrate the effectiveness of our results. [ABSTRACT FROM AUTHOR]

The main objective of this paper is to study properties of Ξ-Hilfer fuzzy fractional differential equations which are useful in modeling a variety of phenomena in physical sciences. The existence, uniqueness and stability of solutions are obtained. The technique used for study is the fixed point theorem and Gronwall inequality. Ulam-Hyers-Rassias stability of the solution is also investigated. [ABSTRACT FROM AUTHOR]

In this work, we have considered the fuzzy random differential equations involving the tempered Ξ-Hilfer fractional derivative. For the proposed problems, we have developed the existence and uniqueness (EU) by using successive approximations under generalized Lipschitz conditions. Proper examples have also been provided with detailed analysis to verify our results. [ABSTRACT FROM AUTHOR]

This paper deals with the fractional order Ambartsumian equation with integral multipoint boundary conditions. The reported results discuss the existence, uniqueness and stability for the solution of our proposed equation. We prove the main results by the aid of fixed point theorems and Ulam's approach. An example is included to illustrate the results. [ABSTRACT FROM AUTHOR]

In this study. we discuss the existence. uniqueness. and controllability results for an Ambartsurnian equation with impulses using the E-Hilfer generalized proportional fractional derivative (PFD). Common fixed point theorems are employed in our analysis. We achieve a few suitable conditions for existence. uniqueness. and controllability. [ABSTRACT FROM AUTHOR]

In this paper, we study the existence. uniqueness. and Ulam stability of solutions for some classes of random Langevin differential equations involving the *-Hilfer fractional derivative with the four conditions initial. nonlocal. impulsive and boundary. Our main results rely on fixed point theories. An Example illustrating our results is also presented. [ABSTRACT FROM AUTHOR]

Recently, many mathematical models have been studied to better understand the coronavirus infection. Most of these models are based on classical integer-order derivatives which cannot capture the fading memory and crossover behavior found in many biological phenomena. Therefore, the aim of this paper is to establish the existence and uniqueness of solutions to novel coronavirus (COVID-19) model including Caputo-Fabrizio (CF)-fractional derivative. We derive existence and uniqueness results with the help of properties of CF-fractional calculus, fixed-point theorem and iterative method. Finally, the model is proved to have a disease-free and an endemic equilibrium point. [ABSTRACT FROM AUTHOR]

This paper investigates the existence and uniqueness of solutions for a class of impulsive differential equations using ψ-type complex-order derivative. The results are obtained by using fixed point principles. An example to illustrate the results is included. [ABSTRACT FROM AUTHOR]

This paper investigates the solvability, existence and uniqueness of solutions for a class of nonlinear fractional hybrid differential equations with Hilfer fractional derivative in a weighted normed space. The main result is proved by means of a fixed point theorem due to Dhage. An example to illustrate the results is included. [ABSTRACT FROM AUTHOR]

Numerical techniques for solving interval-valued fractional differential equations (IFDE) are considered. Two solutions are obtained with the characterization of the solutions of two ordinary differential equation systems. A process based on the fractional Euler method is discussed thoroughly. The algorithm is illustrated by solving a problem. [ABSTRACT FROM AUTHOR]

In this paper, we discuss the existence, uniqueness and stability of integro-differential equation with Hilfer-Katugampola fractional derivative. The arguments are based upon Schauder fixed point theorem, Banach contraction principle and ulam type stability. [ABSTRACT FROM AUTHOR]