Author(s)

Maryam Al-Yami

Al Faisaliah Campus, Sciences Faculty, King Abdulaziz University, Jeddah, Saudi Arabia.

In this paper, we discussed the problem of nonlocal value for nonlinear fractional q-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.

Cauchy Problem, Fractional q-Difference Equation, Nonlocal Conditions, Fixed Point, Krasnoselskii’s Theorem

Al-Yami, M. (2016) A Cauchy Problem for Some Fractional q-Difference Equations with Nonlocal Conditions. American Journal of Computational Mathematics, 6, 159-165. doi: 10.4236/ajcm.2016.62017.