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Existence of solutions of abstract fractional integrodifferential equations of Sobolev type

Publication Type : Journal Article

Publisher : Computers Mathematics with Applications

Source : Computers & Mathematics with Applications, Volume 64, Number 10, p.3406 - 3413 (2012)

Url : http://www.sciencedirect.com/science/article/pii/S0898122111011072

Keywords : Fractional integrodifferential equations; Sobolev type; Resolvent operators; Krasnoselskii fixed point theorem

Campus : Coimbatore

School : School of Engineering

Department : Mathematics

Year : 2012

Abstract : This paper deals with the study of existence of solutions of nonlinear fractional integrodifferential equations of Sobolev type with nonlocal condition in Banach spaces. The results are obtained by using resolvent operators, fractional calculus and fixed point technique. An example is provided to illustrate the theory.

Cite this Research Publication : K. Balachandran and Kiruthika, S., “Existence of solutions of abstract fractional integrodifferential equations of Sobolev type”, Computers & Mathematics with Applications, vol. 64, pp. 3406 - 3413, 2012.

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