Stability Results for a Coupled System of Impulsive Fractional Differential Equations
Akbar Zada,
Shaheen Fatima,
Zeeshan Ali,
Jiafa Xu,
Yujun Cui
Affiliations
Akbar Zada
Department of Mathematics, University of Peshawar, Khyber Pakhtunkhwa 25000, Pakistan
Shaheen Fatima
Department of Mathematics, University of Peshawar, Khyber Pakhtunkhwa 25000, Pakistan
Zeeshan Ali
Department of Mathematics, University of Peshawar, Khyber Pakhtunkhwa 25000, Pakistan
Jiafa Xu
School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China
Yujun Cui
State Key Laboratory of Mining Disaster Prevention and Control Co-founded by Shandong Province and the Ministry of Science and Technology, Shandong University of Science and Technology, Qingdao 266590, China
In this paper, we establish sufficient conditions for the existence, uniqueness and Ulam−Hyers stability of the solutions of a coupled system of nonlinear fractional impulsive differential equations. The existence and uniqueness results are carried out via Banach contraction principle and Schauder’s fixed point theorem. The main theoretical results are well illustrated with the help of an example.
