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N’Guérékata, G.M. (2006) Existence and Uniqueness of an Integral Solution to Some Cauchy Problem with Nonlocal Conditions, Differential & Difference Equations and Applications. Hindawi Publishing Corp., New York, 843-849.

has been cited by the following article:

• 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.