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Existence of Solutions for Fractional Integro‐Differential Equation with Multipoint Boundary Value Problem in Banach Spaces

Author

Listed:
  • Yulin Zhao
  • Li Huang
  • Xuebin Wang
  • Xianyang Zhu

Abstract

By means of the fixed‐point theorem in the cone of strict‐set‐contraction operators, we consider the existence of a nonlinear multi‐point boundary value problem of fractional integro‐differential equation in a Banach space. In addition, an example to illustrate the main results is given.

Suggested Citation

  • Yulin Zhao & Li Huang & Xuebin Wang & Xianyang Zhu, 2012. "Existence of Solutions for Fractional Integro‐Differential Equation with Multipoint Boundary Value Problem in Banach Spaces," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:172963
    DOI: 10.1155/2012/172963
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    References listed on IDEAS

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    1. Bashir Ahmad & Juan J. Nieto, 2009. "Existence of Solutions for Nonlocal Boundary Value Problems of Higher-Order Nonlinear Fractional Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2009, pages 1-9, July.
    2. Bashir Ahmad & Juan J. Nieto, 2009. "Existence of Solutions for Nonlocal Boundary Value Problems of Higher‐Order Nonlinear Fractional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2009(1).
    3. Arikoglu, Aytac & Ozkol, Ibrahim, 2009. "Solution of fractional integro-differential equations by using fractional differential transform method," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 521-529.
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    Cited by:

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    2. Yulin Zhao & Guobing Ye & Haibo Chen, 2013. "Multiple Positive Solutions of a Singular Semipositone Integral Boundary Value Problem for Fractional q‐Derivatives Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

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