Solvability for a nonlinear coupled system of Caputo fractional
q−differential equations with nonlocal boundary conditions
Abstract
In this work, we study a nonlinear coupled system of fractional
q-difference equations with nonlocal boundary conditions involving the
fractional q-derivatives of the Caputo type. Uniqueness result for
solution of the underlying problem is presented with the aid of Banach’s
contraction principle, while the existence result is derived from
Leray-Schauder’s alternative. Finally, we introduce some examples to
support our main results.