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Inthis paper, we discussed the problem of nonlocal value for nonlinear fractionalq-difference equation. The classical tools of fixed pointtheorems such as Krasnoselskii’s theorem and Banach’s contraction principle areused. At the end of the manuscript, we have an example that illustrates the keyfindings.

KEYWORDS

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

Cite this paper

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.





Autor: Maryam Al-Yami

Fuente: http://www.scirp.org/



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