Nontrivial Solutions for a System of Fractional q -Difference Equations Involving q -Integral Boundary Conditions

Yaohong Li, Jie Liu, Donal O’Regan and Jiafa Xu
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Yaohong Li: School of Mathematics and Statistics, Suzhou University, Suzhou 234000, Anhui, China
Jie Liu: School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, Henan, China
Donal O’Regan: School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, H91 CF50 Galway, Ireland
Jiafa Xu: School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China

Mathematics, 2020, vol. 8, issue 5, 1-13

Abstract: In this paper, we study the existence of nontrivial solutions for a system of fractional q -difference equations involving q -integral boundary conditions, and we use the topological degree to establish our main results by considering the first eigenvalue of some associated linear integral operators.

Keywords: fractional q -difference equations; q -integral boundary conditions; topological degree; nontrivial solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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