This manuscript is devoted to proving the existence of solutions to a class of initial value
problems for nonlinear fractional Hybrid implicit differential equations with a ψ ψ-Hilfer …

In this paper, we obtain sufficient conditions for the existence and uniqueness results of the
pantograph fractional differential equations (FDEs) with nonlocal conditions involving …

First, we construct a reformative version of the power-mean integral inequality in the sense
of fractal space. Second, we define what we named as the generalized (s, P)-convex …

This note is concerned with establishing existence theory of solutions to a class of implicit
fractional differential equations (FODEs) involving nonsingular derivative. By using usual …

This book is devoted to the existence and uniqueness results for various classes of
problems with periodic conditions. All of the problems in this book deal with fractional …

In this paper, we investigate the reachability of linear and non-linear systems in the sense of
the ψ-Hilfer pseudo-fractional derivative in g-calculus by means of the Mittag–Leffler …

This paper is devoted to proving some existence and uniqueness of solutions to a category
of boundary value problems for a nonlinear neutral generalized Caputo fractional differential …

Controllability is a significant qualitative aspect of dynamical systems where control theory
refers to steering from a random initial state to any desirable state with the application of an …

In this study, the main focus is on an investigation of the sufficient conditions of existence
and uniqueness of solution for two‐classess of nonlinear implicit fractional pantograph …

We introduce an extension of Darbo's fixed point theorem via a measure of noncompactness
in a Banach space. By using our extension we study the existence of a solution for a system …