Existence and Stability Results for Fractional Hybrid q-Difference Equations with q-Integro-Initial Condition

This article is concerned with the study of a new class hybrid fractional q-integro-difference equations involving Caputo type q-derivatives and Riemann-Liouville q-integrals different orders nonlocal q-integro-initial condition. An existence result for given problem obtained by means Krasnoselskii’s fixed point theorem, whereas uniqueness its solutions shown applying Banach contraction mapping principle. We also discuss stability at hand find that it depends on parameter in contrast to initial position domain. To demonstrate application results, examples are constructed.