On the Solvability of Caputo -Fractional Boundary Value Problem Involving -Laplacian Operator

Hüseyin Aktuğlu and Mehmet Ali Özarslan

Abstract and Applied Analysis, 2013, vol. 2013, 1-8

Abstract:

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

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:658617

DOI: 10.1155/2013/658617

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