TITLE:
A Cauchy Problem for Some Fractional q-Difference Equations with Nonlocal Conditions
AUTHORS:
Maryam Al-Yami
KEYWORDS:
Cauchy Problem, Fractional q-Difference Equation, Nonlocal Conditions, Fixed Point, Krasnoselskii’s Theorem
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.6 No.2,
June
29,
2016
ABSTRACT: 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.