A Cauchy Problem for Some Fractional <i>q</i>-Difference Equations with Nonlocal Conditions

Abstract

In this paper, we discussed the problem of nonlocal value for nonlinear fractional <i>q</i>-difference equation. The classical tools of fixed point theorems such as Krasnoselskii’s theorem and Banach’s contraction principle are used. At the end of the manuscript, we have an example that illustrates the key findings.