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

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      Abstract and Applied Analysis
      Hindawi Limited

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          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.

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          Some Fractional q-Integrals and q-Derivatives

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            On the solvability of a fractional differential equation model involving the \(p\)-Laplacian operator

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              Stability of -fractional non-autonomous systems

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                Author and article information

                Journal
                Abstract and Applied Analysis
                Abstract and Applied Analysis
                Hindawi Limited
                1085-3375
                1687-0409
                2013
                2013
                : 2013
                :
                : 1-8
                Article
                10.1155/2013/658617
                2916373d-9767-47f4-a6ca-5e13c6a8f1af
                © 2013

                http://creativecommons.org/licenses/by/3.0/

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