Recently, the area devoted to fractional calculus has given much attention by researchers.
The reason behind such huge attention is the significant applications of the mentioned area …

Dynamical analysis of system of ordinary differential equations (ODEs) is an interesting topic
among researchers and several tools have been discovered since so far to deal with its …

In this work, a class of differential equations known as non-linear measure differential
equation is considered. The qualitative properties of the mentioned equation are …

The objective of the current article is to use the Banach fixed point theorem to present proofs
for the existence and uniqueness theorems for a nonlinear time-fractional differential …

Piecewise fractional-order differential operators have received more attention in recent
years because they can be used to describe various evolutionary dynamical problems to …

This work investigates piecewise Vand der Pol oscillator under the arbitrary order, piecewise
derivatives, and power nonlinearities to present a novel idea of piecewise systems using the …

In this work, we focus on the relative controllability and Hyers–Ulam stability of Riemann–
Liouville fractional delay differential system of order α∈(1, 2). Firstly, for the linear system …

This article is about the examination of existence as well as uniqueness of solutions,
Bielecki–Hyers–Ulam stability and Bielecki–Hyers–Ulam–Rassias stability of non–linear …

This work is devoted to using topological degree theory to establish a mathematical analysis
for a class of fractional-order evolution hybrid differential equations using a modified Mittag …

This study uses the Lotka Volterra Predator-Prey model to offer a notion of piecewise
patterns for the various piecewise derivatives. Using the piecewise derivatives, we produced …