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Existence results for fractional impulsive integrodifferential equations in Banach spaces

โœ Scribed by K. Balachandran; S. Kiruthika; J.J. Trujillo

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
222 KB
Volume
16
Category
Article
ISSN
1007-5704

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โœฆ Synopsis

This paper is mainly concerned with the existence of solutions of first order nonlinear impulsive fractional integrodifferential equations in Banach spaces. The results are obtained by using fixed point principles. Further, some interesting examples are presented to illustrate the theory.

๐Ÿ“œ SIMILAR VOLUMES

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The nonlocal Cauchy problem for nonlinear fractional integrodifferential equations in Banach spaces
โœ Krishnan Balachandran; Juan J. Trujillo ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 286 KB

In this paper we prove the existence of solutions of certain kinds of nonlinear fractional integrodifferential equations in Banach spaces. Further, Cauchy problems with nonlocal initial conditions are discussed for the aforementioned fractional integrodifferential equations. At the end, an example i

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โœ J.P Dauer; K Balachandran ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 102 KB

In this paper we prove the existence of mild solutions of a nonlinear neutral integrodifferential equation in a Banach space. The results are obtained by using the Schaefer fixed point theorem. As an application the controllability problem for the neutral system is discussed.