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

	Ulam’s stability of impulsive sequential coupled system of mixed order derivatives
International Journal of Nonlinear Analysis and Applications
مقاله 4، دوره 13، شماره 1، خرداد 2022، صفحه 57-73 اصل مقاله (464.47 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.20205.2136
نویسندگان
Akbar Zada؛ Sadeeq Alam؛ Usman Riaz^*
Department of Mathematics, University of Peshawar, 25000, Pakistan
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
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