Study of a Coupled System with Sub-Strip and Multi-Valued Boundary Conditions via Topological Degree Theory on an Infinite Domain

Symmetry

Thabet Abdeljawad¹  Sahibzada Waseem Ahmad²  Muhammed Sarwar²  Eiman²  Kamal Shah² 

[1] Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia;Department of Mathematics, University of Malakand, Chakdara 18000, Pakistan;

关键词: measure of non-compactness;    fractional differential equations;    sub-strip and multi-point boundary conditions;    existence results;   

DOI  :  10.3390/sym14050841

来源: DOAJ

【 摘 要 】

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 are investigated in this study. The fractional integro-differential equations contain a finite number of Riemann–Liouville fractional integral and non-integral type nonlinearities, as well as Caputo differential operators of various orders subject to fractional boundary conditions on an infinite interval. At the boundary conditions, we use sub-strip and multi-point contribution. There are various techniques to solve such type of differential equations and one of the most common is known as symmetry analysis. The symmetry analysis has widely been used in problems involving differential equations, although determining the symmetries can be computationally intensive compared to other methods. Therefore, we employ the degree theory due to the Mawhin involving measure of a non-compactness technique to arrive at our desired findings. An interesting pertinent problem has also been provided to demonstrate the applicability of our results.

【 授权许可】

Unknown