A large number of physical phenomena can be described and modeled by differential
equations. One of these famous models is related to the pantograph, which has been …

The primary objective of this research is to investigate the controllability and Hyers–Ulam
stability of fractional dynamical systems represented by ψ-Caputo fractional derivative with …

Klein–Gordon equation characterizes spin-particles through neutral charge field within
quantum particle. In this context, fractionalized Klein–Gordon equation is investigated for the …

A class of implicit Hilfer-Katugampola-type fractional pantograph differential equation with
nonlocal katugampola fractional integral conditions is considered in this paper. By using …

In this research work, we study two types of fractional boundary value problems for multi‐
term Langevin systems with generalized Caputo fractional operators of different orders. The …

The major goal of this work is investigating sufficient conditions for the existence and
uniqueness of solutions for implicit impulsive coupled system of φ-Hilfer fractional differential …

In this paper, we introduce a new class of fractional impulsive systems of functions with
respect to another function in which the order of the fractional derivative and the kernel …

Voigt and Maxwell models are popularly used to model viscoelastic materials' property. They
are often presented in form of fractional relaxation equations. In order to describe rich …

This work is appropriated to the numerical approximation of Ψ-fractional differential
equations and Ψ-fractional integro-differential equations. First, the under study problems are …

In this research paper, we investigate the existence, uniqueness, and Ulam–Hyers stability
of hybrid sequential fractional differential equations with multiple fractional derivatives of ψ …