Abstract

In this paper, we introduce and study a tripled system of three associated fractional differential equations. Prior to proceeding to the main results, the proposed system is converted into an equivalent integral form by the help of fractional calculus. Our approach is based on using the addressed tripled system with cyclic permutation boundary conditions. The existence and uniqueness of solutions are investigated. We employ the Banach and Krasnoselskii fixed point theorems to prove our main results. Illustrative examples are presented to explain the theoretical results.

Details

Title
Existence of solutions for tripled system of fractional differential equations involving cyclic permutation boundary conditions
Author
Matar, Mohammed M 1 ; Amra, Iman Abo 1 ; Alzabut Jehad 2   VIAFID ORCID Logo 

1  Al-Azhar University-Gaza, Department of Mathematics, Gaza, Palestine (GRID:grid.133800.9) (ISNI:0000 0001 0436 6817) 
2  Prince Sultan University, Department of Mathematics and General Sciences, Riyadh, Saudi Arabia (GRID:grid.443351.4) (ISNI:0000 0004 0367 6372) 
Publication year
2020
Publication date
Dec 2020
Publisher
Hindawi Limited
ISSN
16872762
e-ISSN
16872770
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1186/s13661-020-01437-x
ProQuest document ID
2435018474
Copyright
© The Author(s) 2020. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.