On the Solvability of Caputo q‐Fractional Boundary Value Problem Involving p‐Laplacian Operator

Hüseyin Aktuğlu and Mehmet Ali Özarslan

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

Abstract: We consider the model of a Caputo q‐fractional boundary value problem involving p‐Laplacian operator. By using the Banach contraction mapping principle, we prove that, under some conditions, the suggested model of the Caputo q‐fractional boundary value problem involving p‐Laplacian operator has a unique solution for both cases of 0 2. It is interesting that in both cases solvability conditions obtained here depend on q, p, and the order of the Caputo q‐fractional differential equation. Finally, we illustrate our results with some examples.

Date: 2013
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https://doi.org/10.1155/2013/658617

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:658617

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