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

نویسندگان
Alam, Sadeeq ID 1
Riaz, Usman ID 2
Zada, Akbar ID 3

1 Department of Mathematics, University of Peshawar, 25000, Pakistan

2 Department of Mathematics, University of Peshawar, 25000, Pakistan

3 Department of Mathematics, University of Peshawar, 25000, Pakistan

doi
10.22075/ijnaa.2020.20205.2136
چکیده

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.

کلیدواژه‌ها
Caputo fractional derivative, Boundary conditions, Fixed point theorem, Hyers–Ulam Stability