This paper is concerned with the existence results of Ψ‐Hilfer fractional impulsive integro‐
differential equations involving almost sectorial operators. The mild solutions of the …

We investigate the existence and uniqueness of solutions to a coupled system of the hybrid
fractional integro-differential equations involving φ-Caputo fractional operators. To achieve …

We study the existence of solutions for a newly configured model of a double‐order
integrodifferential equation including φ‐Caputo double‐order φ‐integral boundary …

The aim of this research work is to derive some appropriate results for extremal solutions to
a class of generalized Caputo-type nonlinear fractional differential equations (FDEs) under …

The objective of this paper is to study the existence of extremal solutions for nonlinear
boundary value problems of fractional differential equations involving the ψ− Caputo …

The main aim of this paper is to prove the Ulam–Hyers stability of solutions for a new form of
nonlinear fractional Langevin differential equations involving two fractional orders in the ψ …

In this paper, we consider a generalized Caputo boundary value problem of fractional
differential equation with composite p‐Laplacian operator. Boundary value conditions of this …

In this paper, we use the vector-valued Laplace transform to introduce and systematically
analyze the notion of a generalized Laplace fractional derivative. The abstract fractional …

We introduce the stability concepts for ψ-Caputo derivative systems in the sense of
Lyapunov's idea. Two new Lyapunov theorems are formulated for the stability analysis of …

This paper deals with the study of Fredholm boundary-value problem for the system of
fractional differential equations with Caputo derivative. The boundary-value problem is …