Existence Theoremsfor Solutions of a Nonlinear Fractional-Order Coupled Delayed System via Fixed Point Theory

Xin Liu, Lili Chen () and Yanfeng Zhao
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Xin Liu: College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China
Lili Chen: College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China
Yanfeng Zhao: College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China

Mathematics, 2023, vol. 11, issue 7, 1-15

Abstract: In this paper, the problem of the existence and uniqueness of solutions for a nonlinear fractional-order coupled delayed system with a new kind of boundary condition is studied. For this reason, we transform the above problem into an equivalent fixed point problem using the integral operator. Moreover, by applying fixed point theorems, a novel set of sufficient conditions that guarantee the existence and uniqueness of solutions of the coupled system is derived. Eventually, an example is presented to illustrate the effectiveness of the obtained results.

Keywords: nonlinear coupled system; fixed point theorem; existence and uniqueness (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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