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A Note on Fractional Equations of Volterra Type with Nonlocal Boundary Condition

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  • Zhenhai Liu
  • Rui Wang

Abstract

We deal with nonlocal boundary value problems of fractional equations of Volterra type involving Riemann-Liouville derivative. Firstly, by defining a weighted norm and using the Banach fixed point theorem, we show the existence and uniqueness of solutions. Then, we obtain the existence of extremal solutions by use of the monotone iterative technique. Finally, an example illustrates the results.

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  • Zhenhai Liu & Rui Wang, 2013. "A Note on Fractional Equations of Volterra Type with Nonlocal Boundary Condition," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, July.
    • Handle: RePEc:hin:jnlaaa:432941
    DOI: 10.1155/2013/432941
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