Existence results for nonlinear multi-term impulsive fractional q-integro-difference equations with nonlocal boundary conditions

Abstract

This paper is concerned with the existence of solutions for a nonlinear multi-term impulsive fractional $ q $-integro-difference equation with nonlocal boundary conditions. The appropriated fixed point theorems are applied to accomplish the existence and uniqueness results for the given problem. We demonstrate the application of the obtained results with the aid of examples.

Keywords

• fractional $ q $-derivative operator
• riemann-liouville fractional $ q $-integral operator
• impulse
• nonlocal boundary conditions
• existence of a solution