Existence, uniqueness and stability analysis of a coupled fractional-order differential systems involving Hadamard derivatives and associated with multi-point boundary conditions

Advances in Difference Equations

article

Subramanian, Muthaiah¹  Alzabut, Jehad²  Baleanu, Dumitru⁴  Samei, Mohammad Esmael⁶  Zada, Akbar⁸ 

[1] Department of mathematics, KPR Institute of Engineering and Technology;Department of Mathematics and General Sciences, Prince Sultan University;Group of Mathematics, Faculty of Engineering, Ostim Technical University;Department of Mathematics, Cankaya University;Institute of Space Science;Department of Mathematics, Bu-Ali Sina University;Department of Medical Research, China Medical University Hospital, China Medical University;Department of Mathematics, University of Peshawar

关键词: Coupled system;    Fractional differential equations;    Hadamard derivatives;    Multi-point;    Integral boundary conditions;   

DOI  :  10.1186/s13662-021-03414-9

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, we examine the consequences of existence, uniqueness and stability of a multi-point boundary value problem defined by a system of coupled fractional differential equations involving Hadamard derivatives. To prove the existence and uniqueness, we use the techniques of fixed point theory. Stability of Hyers-Ulam type is also discussed. Furthermore, we investigate variations of the problem in the context of different boundary conditions. The current results are verified by illustrative examples.

【 授权许可】

CC BY