We investigate a nonlinear, nonlocal, and fully coupled boundary value problem containing mixed (k,ψ^)-Hilfer fractional derivative (k,ψ^)-Riemann–Liouville integral operators. Existence uniqueness results for the given are proved with aid of standard fixed point theorems. Examples illustrating main presented. The paper concludes some interesting findings.

This article contains a new discussion for the generalized fractional Cauchy-type problem involving Hilfer-Katugampola-type derivative. We study an existence and continuation of its solution. Firstly, we establish theorems local existence. Then, deduce general differential equations. By applying deduced in this article, present several global results. Moreover, examples are given to illustrate ...

In the current contribution, integral representations of solutions homogeneous and nonhomogeneous delay differential equation a fractional Hilfer derivative are established in terms delayed Mittag-Leffler-type matrix function two parameters. By using method variation constants, solution represented. Finite-time stability is examined with provision appropriate sufficient conditions. Finally, an ...

In the present research, we study boundary value problems for fractional integro-differential equations and inclusions involving Hilfer derivative. Existence uniqueness results are obtained by using classical fixed point theorems of Banach, Krasnosel’skiĭ, Leray–Schauder in single-valued case, while Martelli’s theorem, a nonlinear alternative multivalued maps, Covitz–Nadler theorem used inclusi...

This paper deals with the existence and uniqueness of solution for a coupled system Hilfer fractional Langevin equation non local integral boundary value conditions. The novelty this work is that it more general than works based on derivative Caputo Riemann-Liouville, because when ? = 0 we find Riemann-Liouville 1 derivative. Initially, give some definitions notions will be used throughout work...

In this article, we study a system of Hilfer (k,ψ)-fractional differential equations, subject to nonlocal boundary conditions involving (k,ψ)-derivatives and (k,ψ)-integrals. The results for the mentioned are established by using Mönch’s fixed point theorem, then Ulam–Hyers technique is used verify stability solution proposed system. general, symmetry fractional equations related each other. Wh...