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On Antiperiodic Boundary Value Problems for Higher-Order Fractional Differential Equations

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  • Ahmed Alsaedi
  • Bashir Ahmad
  • Afrah Assolami

Abstract

We study an antiperiodic boundary value problem of nonlinear fractional differential equations of order . Some existence results are obtained by applying some standard tools of fixed-point theory. We show that solutions for lower-order anti-periodic fractional boundary value problems follow from the solution of the problem at hand. Our results are new and generalize the existing results on anti-periodic fractional boundary value problems. The paper concludes with some illustrating examples.

Suggested Citation

  • Ahmed Alsaedi & Bashir Ahmad & Afrah Assolami, 2012. "On Antiperiodic Boundary Value Problems for Higher-Order Fractional Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-15, August.
    • Handle: RePEc:hin:jnlaaa:325984
    DOI: 10.1155/2012/325984
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