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A Class of Fractional p‐Laplacian Integrodifferential Equations in Banach Spaces

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  • Yiliang Liu
  • Liang Lu

Abstract

We study a class of nonlinear fractional integrodifferential equations with p‐Laplacian operator in Banach space. Some new existence results are obtained via fixed point theorems for nonlocal boundary value problems of fractional p‐Laplacian equations. An illustrative example is also discussed.

Suggested Citation

  • Yiliang Liu & Liang Lu, 2013. "A Class of Fractional p‐Laplacian Integrodifferential Equations in Banach Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:398632
    DOI: 10.1155/2013/398632
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    References listed on IDEAS

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    1. Fang Wang & Zhen-hai Liu & Jing Li, 2013. "Complete Controllability of Fractional Neutral Differential Systems in Abstract Space," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-11, February.
    2. Xiaoyou Liu & Zhenhai Liu, 2012. "Existence Results for Fractional Differential Inclusions with Multivalued Term Depending on Lower‐Order Derivative," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    3. Ahmed Alsaedi, 2009. "Existence of Solutions for Integrodifferential Equations of Fractional Order with Antiperiodic Boundary Conditions," International Journal of Differential Equations, Hindawi, vol. 2009, pages 1-9, December.
    4. Bashir Ahmad & Juan J. Nieto, 2010. "Solvability of Nonlinear Langevin Equation Involving Two Fractional Orders with Dirichlet Boundary Conditions," International Journal of Differential Equations, Hindawi, vol. 2010, pages 1-10, December.
    5. Xiaoyou Liu & Zhenhai Liu, 2012. "Existence Results for Fractional Differential Inclusions with Multivalued Term Depending on Lower-Order Derivative," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-24, December.
    6. Fang Wang & Zhen-hai Liu & Jing Li, 2013. "Complete Controllability of Fractional Neutral Differential Systems in Abstract Space," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
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