International Journal of Nonlinear Analysis and Applications

Ulam’s stability of impulsive sequential coupled system of mixed order derivatives

Document Type : Research Paper

Authors

Department of Mathematics, University of Peshawar, 25000, Pakistan

Abstract

This manuscript is devoted to establishing Hyers–Ulam stability for a class of non-linear impulsive coupled sequential fractional differential equations with multi point boundary conditions on a closed interval [0,T] with Caputo fractional derivative having non-instantaneous impulses. Sufficient conditions are introduced that guarantee the existence of a unique solution to the proposed problem. Furthermore, Hyers–Ulam stability of the proposed model is also presented and an example is provided to authenticate the theoretical results.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 1
March 2022
Pages 57-73
  • Receive Date: 13 April 2020
  • Revise Date: 05 May 2020
  • Accept Date: 08 May 2020