Existence and uniqueness results to a fractional q-difference coupled system with integral boundary conditions via topological degree theory

Document Type : Research Paper


1 Laboratory of Mathematics And Applied Sciences, University of Ghardaia, 47000, Algeria

2 Faculty of Sciences, Saad Dahlab University, Blida 1, Algeria


This paper aims to highlight the existence and uniqueness results for a coupled system of nonlinear fractional $q$-difference subject to nonlinear more general four-point boundary conditions are treated. Our analysis relies on two approaches, the topological degree for condensing maps via a priori estimate method and the Banach contraction principle fixed point theorem. Finally, Two examples illustrating the effectiveness of the theoretical results are presented.