Existence of Solutions for Fractional q‐Integrodifference Equations with Nonlocal Fractional q‐Integral Conditions

Suphawat Asawasamrit, Jessada Tariboon and Sotiris K. Ntouyas

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We study a class of fractional q‐integrodifference equations with nonlocal fractional q‐integral boundary conditions which have different quantum numbers. By applying the Banach contraction principle, Krasnoselskii’s fixed point theorem, and Leray‐Schauder nonlinear alternative, the existence and uniqueness of solutions are obtained. In addition, some examples to illustrate our results are given.

Date: 2014
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https://doi.org/10.1155/2014/474138

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:474138

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