Existence and stability of impulsive coupled system of fractional integrodifferential equations

Demonstratio Mathematica

Alzabut Jehad¹  Waheed Hira²  Zada Akbar²  Wang Xiaoming³ 

[1] Department of Mathematics and General Sciences, Prince Sultan University, 11586Riyadh, Saudi Arabia;Department of Mathematics, University of Peshawar, Peshawar25000, Pakistan;School of Mathematics & Computer Science, Shangrao Normal University, Shangrao334001, China;

关键词: caputo fractional derivative;    impulsive condition;    existence and uniqueness theory;    hyers–ulam stability;    26a33;    34a08;    35b40;   

DOI  :  10.1515/dema-2019-0035

来源: DOAJ

【 摘 要 】

In this manuscript, we deal with a class and coupled system of implicit fractional differential equations, having some initial and impulsive conditions. Existence and uniqueness results are obtained by means of Banach’s contraction mapping principle and Krasnoselskii’s fixed point theorem. Hyers–Ulam stability is investigated by using classical technique of nonlinear functional analysis. Finally, we provide illustrative examples to support our obtained results.

【 授权许可】

Unknown