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Existence and Uniqueness Results for a Coupled System of Nonlinear Fractional Differential Equations with Antiperiodic Boundary Conditions

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Listed:
  • Huina Zhang
  • Wenjie Gao

Abstract

This paper studies the existence and uniqueness of solutions for a coupled system of nonlinear fractional differential equations of order α,β ∈ (4,5] with antiperiodic boundary conditions. Our results are based on the nonlinear alternative of Leray‐Schauder type and the contraction mapping principle. Two illustrative examples are also presented.

Suggested Citation

  • Huina Zhang & Wenjie Gao, 2014. "Existence and Uniqueness Results for a Coupled System of Nonlinear Fractional Differential Equations with Antiperiodic Boundary Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:463517
    DOI: 10.1155/2014/463517
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    References listed on IDEAS

    as
    1. 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.
    2. Zhanbing Bai & Weichen Sun & Weihai Zhang, 2013. "Positive Solutions for Boundary Value Problems of Singular Fractional Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, June.
    3. Zhanbing Bai & Weichen Sun & Weihai Zhang, 2013. "Positive Solutions for Boundary Value Problems of Singular Fractional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    4. Gafiychuk, V. & Datsko, B. & Meleshko, V. & Blackmore, D., 2009. "Analysis of the solutions of coupled nonlinear fractional reaction–diffusion equations," Chaos, Solitons & Fractals, Elsevier, vol. 41(3), pages 1095-1104.
    5. Ahmed Alsaedi & Bashir Ahmad & Afrah Assolami, 2012. "On Antiperiodic Boundary Value Problems for Higher‐Order Fractional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
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