This paper deals with a new class of non-linear impulsive sequential fractional differential
equations with multi-point boundary conditions using Caputo fractional derivative, where …

In this paper, we investigate four different types of Ulam stability, ie., Ulam-Hyers stability,
generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers …

This paper address the fractional-order gene regulatory networks (FOGRNs) with both time
delays and impulsive effects. Inspired by the integer-order gene regulatory network models …

This article aims to investigate the existence and uniqueness of solutions to impulsive
fractional differential equations. Firstly, we show a formula for solutions to an impulsive …

In this paper, we have a tendency to implement different fixed point theorem [Banach
contraction principle, Krasnoselskii's [18] and Schaefer's [, 18] coupled with solution operator …

Real‐world processes that display non‐local behaviours or interactions, and that are subject
to external impulses over non‐zero periods, can potentially be modelled using non …

The modeling of a natural phenomena give soar to impulsive (instantaneous and
noninstantaneous) fractional Caputo differential equations with boundary conditions. The …

Firstly we prove existence and uniqueness of solutions of Cauchy problems of linear
fractional differential equations (LFDEs) with two variable coefficients involving Caputo …

In the present work, we consider an impulsive fractional differential equation with a deviated
argument in an arbitrary separable Hilbert space H. We obtain an associated integral …

abstract This article aims to investigate the existence and uniqueness of solutions to
impulsive fractional differential equations. Firstly, we show a formula for solutions to an …