Existence results for a nonlocal q-integro multipoint boundary value problem involving a fractional q-difference equation with dual hybrid terms

Abstract

This paper is devoted to the study of a fractional q-difference equation involving dual hybrid terms and equipped with nonlocal multipoint and Riemann-Liouville fractional q-integral boundary conditions. Applying a fixed point approach, we investigate the existence criteria for solutions to the given problem. Examples are constructed for illustrating the obtained results. We emphasize that our results are new in the given configuration, and some new results follow as special cases of the present ones.

Keywords

• hybrid fractional q-difference equation
• riemann-liouville q-derivative and q-integral operators
• nonlocal boundary conditions
• existence
• fixed point
• primary 34a08, 39a13
• secondary 34b10, 34b15