Affiliation:
1. Department of Mathematics, Faculty of Science and Technology, Jadara University, Irbid 21110, Jordan
2. Department of Mathematics and Statistics, College of Science, King Faisal University, Hafuf 31982, Saudi Arabia
Abstract
In this paper, a coupled system of differential equations involving fractional order with integral boundary conditions is discussed. In the problem at hand, three main aspects that are existence, uniqueness, and stability have been investigated. Firstly, the contraction mapping principle is used to discuss the uniqueness of solutions for the proposed fractional system, and secondly, the existence of solutions for the problem is investigated based on Leray–Schauder’s alternative. Thirdly, the stability of the presented coupled system is discussed based on the Hyers–Ulam stability method. Finally, some examples have been given to confirm and illustrate the conclusion. The comparison between the current symmetrical results and the existing literature is deemed satisfactory. It was found that the presented fractional coupled system with two with integral boundary conditions is existent, unique, and stable.
Funder
Deanship of Scientific Research, Vice Presidency for. Graduate Studies and Scientific Research, King Faisal University, Saudi Arabia
Subject
Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)
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