Study on Implicit-Type Fractional Coupled System with Integral Boundary Conditions

Longfei Lin, Yansheng Liu and Daliang Zhao
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Longfei Lin: School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China
Yansheng Liu: School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China
Daliang Zhao: School of Mathematics and Statistics, Shandong Normal University, Jinan 250014, China

Mathematics, 2021, vol. 9, issue 4, 1-15

Abstract: This paper is concerned with a class of implicit-type coupled system with integral boundary conditions involving Caputo fractional derivatives. First, the existence result of solutions for the considered system is obtained by means of topological degree theory. Next, Ulam–Hyers stability and generalized Ulam–Hyers stability are studied under some suitable assumptions. Finally, one example is worked out to illustrate the main results.

Keywords: integral boundary conditions; fractional differential equations; Ulam–Hyers stability; implicit type (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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