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

Alharbi, Boshra; Alsaedi, Ahmed; Agarwal, Ravi P.; Ahmad, Bashir

doi:10.2478/auom-2024-0026

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.

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

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