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

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  • 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, Hindawi, vol. 2012, pages 1-19, December.
    • Handle: RePEc:hin:jnlaaa:172963
    DOI: 10.1155/2012/172963
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    Cited by:

    1. Shahram Rezapour & Sotiris K. Ntouyas & Abdelkader Amara & Sina Etemad & Jessada Tariboon, 2021. "Some Existence and Dependence Criteria of Solutions to a Fractional Integro-Differential Boundary Value Problem via the Generalized Gronwall Inequality," Mathematics, MDPI, vol. 9(11), pages 1-22, May.

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