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Existence Theory for -Antiperiodic Boundary Value Problems of Sequential -Fractional Integrodifferential Equations

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  • Ravi P. Agarwal
  • Bashir Ahmad
  • Ahmed Alsaedi
  • Hana Al-Hutami

Abstract

We discuss the existence and uniqueness of solutions for a new class of sequential -fractional integrodifferential equations with -antiperiodic boundary conditions. Our results rely on the standard tools of fixed-point theory such as Krasnoselskii's fixed-point theorem, Leray-Schauder nonlinear alternative, and Banach's contraction principle. An illustrative example is also presented.

Suggested Citation

  • Ravi P. Agarwal & Bashir Ahmad & Ahmed Alsaedi & Hana Al-Hutami, 2014. "Existence Theory for -Antiperiodic Boundary Value Problems of Sequential -Fractional Integrodifferential Equations," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-12, April.
    • Handle: RePEc:hin:jnlaaa:207547
    DOI: 10.1155/2014/207547
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