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

Author

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  • Hüseyin Aktuğlu
  • Mehmet Ali Özarslan

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.

Suggested Citation

  • Hüseyin Aktuğlu & Mehmet Ali Özarslan, 2013. "On the Solvability of Caputo -Fractional Boundary Value Problem Involving -Laplacian Operator," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, June.
    • Handle: RePEc:hin:jnlaaa:658617
    DOI: 10.1155/2013/658617
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