Existence results for a coupled system of Caputo type fractional integro-differential equations with multi-point and sub-strip boundary conditions

Advances in Difference Equations

article

Alsaedi, Ahmed¹  Albideewi, Amjad F.¹  Ntouyas, Sotiris K.¹  Ahmad, Bashir¹ 

[1] Nonlinear Analysis and Applied Mathematics (NAAM)—Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University;Department of Mathematics, University of Ioannina

关键词: Caputo derivative;    Riemann–Liouville integral;    Coupled system;    Multi-point boundary conditions;    Existence;    Fixed point theorem;   

DOI  :  10.1186/s13662-020-03174-y

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

This paper is concerned with the existence and uniqueness of solutions for a coupled system of Liouville–Caputo type fractional integro-differential equations with multi-point and sub-strip boundary conditions. The fractional integro-differential equations involve Caputo derivative operators of different orders and finitely many Riemann–Liouville fractional integral and non-integral type nonlinearities. The boundary conditions at the terminal position$t=1$ involve sub-strips and multi-point contributions. The Banach fixed point theorem and the Leray–Schauder alternative are used to establish our results. The obtained results are illustrated with the aid of examples.

【 授权许可】

CC BY