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Initial-Boundary Value Problem for Fractional Partial Differential Equations of Higher Order

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  • Djumaklych Amanov
  • Allaberen Ashyralyev

Abstract

The initial-boundary value problem for partial differential equations of higher-order involving the Caputo fractional derivative is studied. Theorems on existence and uniqueness of a solution and its continuous dependence on the initial data and on the right-hand side of the equation are established.

Suggested Citation

  • Djumaklych Amanov & Allaberen Ashyralyev, 2012. "Initial-Boundary Value Problem for Fractional Partial Differential Equations of Higher Order," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-16, July.
    • Handle: RePEc:hin:jnlaaa:973102
    DOI: 10.1155/2012/973102
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