Positive Solutions of Nonlocal Boundary Value Problem for High‐Order Nonlinear Fractional q‐Difference Equations

Changlong Yu and Jufang Wang

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We study the nonlinear q‐difference equations of fractional order (Dqαu)(t)+f(t,u(t))=0, 0 2, 1 ≤ β ≤ n − 2, and 0 ≤ a ≤ 1. We obtain the existence and multiplicity results of positive solutions by using some fixed point theorems. Finally, we give examples to illustrate the results.

Date: 2013
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https://doi.org/10.1155/2013/928147

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:928147

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