A Cauchy Problem for Some Fractional q-Difference Equations with Nonlocal Conditions

作     者：Maryam Al-Yami Maryam Al-Yami

作者机构：Al Faisaliah Campus Sciences Faculty King Abdulaziz University Jeddah Saudi Arabia 

出 版 物：《American Journal of Computational Mathematics》 (美国计算数学期刊（英文）)

年 卷 期：2016年第6卷第2期

页      面：159-165页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Cauchy Problem Fractional q-Difference Equation Nonlocal Conditions Fixed Point Krasnoselskii’s Theorem 

摘      要：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.