In this work, we replaced the integer derivative with Caputo derivative to model the
transmission dynamics of measles in an epidemic situation. We began by recalling some …

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 …

In this paper, a nonlinear bi-stable energy harvester with a bulking beam is proposed. Its bi-
stable characteristics can be realized by the structure. The characteristics of the piezoelectric …

This article discusses the stability results for solution of a fractional q-integro-differential
problem via integral conditions. Utilizing the Krasnoselskii's, Banach fixed point theorems …

In this article, by using the differential Caputo–Fabrizio operator, we suggest a novel family
of piecewise differential equations (DEs). The issue under study contains a mixed delay …

This manuscript considers a class of piecewise differential equations (DEs) modeled with
the Caputo-Fabrizio differential operator. The proposed problem involves a proportional …

The relation of special functions with fractional integral transforms has a great influence on
modern science and research. For example, an old special function, namely, the Mittag …

In this paper, we present the existence and uniqueness of fixed points and common fixed
points for Reich and Chatterjea pairs of self-maps in complete metric spaces. Furthermore …

In this present manuscript, by applying fractional quantum calculus, we study a nonlinear
fractional pantograph q-difference equation with nonlocal boundary conditions. We prove …

The goal of this paper is to study the existence and uniqueness of solutions for fractional
differential system with four-point coupled boundary conditions of the type: D 0+ α 1 u 1 (t)+ f …