Nontrivial Solutions for a System of Fractional <i>q</i>-Difference Equations Involving <i>q</i>-Integral Boundary Conditions

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 <i>q</i>-difference equations
• <i>q</i>-integral boundary conditions
• topological degree
• nontrivial solutions