Electron. J. Diff. Equ., Vol. 2009(2009), No. 129, pp. 1-8.

Existence and uniqueness of solutions for the fractional integro-differential equations in Banach spaces

Jun Wu, Yicheng Liu

Abstract:
In this article, we established the existence and uniqueness of solutions for fractional integro-differential equations with nonlocal conditions in Banach spaces. Krasnoselskii-Krein-type conditions are used for obtaining the main result.

Submitted August 21, 2009. Published October 7, 2009.
Math Subject Classifications: 34K45.
Key Words: Fractional integro-differential equations; nonlocal condition; equivalent norms.

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Jun Wu
College of Mathematics and Computer Science
Changsha University of Science Technology
Changsha, 410114, China
email: junwmath@hotmail.com
  Yicheng Liu
College of Mathematics and Computer Science
College of Science, National University of Defense Technology
Changsha, 410073, China
email: liuyc2001@hotmail.com

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