Existence and stability analysis of nonlinear sequential coupled system of Caputo fractional differential equations with integral boundary conditions

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica

Muhammad Yar¹  Akbar Zada¹  Tongxing Li² 

[1] Department of Mathematics University of Peshawar, Peshawar, Pakistan;LinDa Institute of Shandong Provincial Key Laboratory of Network Based Intelligent Computing and School of Information Science and Engineering Linyi University Linyi Shandong,China ;

关键词: Caputo fractional derivative;    Riemann–Liouville fractional integral;    coupled system;    existence;    uniqueness;    fixed point theorem;    Hyers–Ulam stability.;   

DOI  :  10.2478/aupcsm-2018-0009

来源: DOAJ

【 摘 要 】

In this paper we study existence and uniqueness of solutions for a coupled system consisting of fractional differential equations of Caputo type, subject to Riemann–Liouville fractional integral boundary conditions. The uniqueness of solutions is established by Banach contraction principle, while the existence of solutions is derived by Leray–Schauder’s alternative. We also study the Hyers–Ulam stability of mentioned system. At the end, examples are also presented which illustrate our results.

【 授权许可】

Unknown