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Open AccessArticle

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

1
School of Mathematics and Statistics, Suzhou University, Suzhou 234000, Anhui, China
2
School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, Henan, China
3
School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, H91 CF50 Galway, Ireland
4
School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(5), 828; https://doi.org/10.3390/math8050828
Received: 24 April 2020 / Revised: 12 May 2020 / Accepted: 13 May 2020 / Published: 20 May 2020
(This article belongs to the Special Issue Mathematical Analysis and Boundary Value Problems)
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. View Full-Text
Keywords: fractional q-difference equations; q-integral boundary conditions; topological degree; nontrivial solutions fractional q-difference equations; q-integral boundary conditions; topological degree; nontrivial solutions
MDPI and ACS Style

Li, Y.; Liu, J.; O’Regan, D.; Xu, J. Nontrivial Solutions for a System of Fractional q-Difference Equations Involving q-Integral Boundary Conditions. Mathematics 2020, 8, 828.

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