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Existence of solutions for nonlocal impulsive partial functional integrodifferential equations via fractional operators

โœ Scribed by Zuomao Yan

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
250 KB
Volume
235
Category
Article
ISSN
0377-0427

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โœฆ Synopsis

In this paper, by using the Leray-Schauder alternative, we have investigated the existence of mild solutions to first-order impulsive partial functional integrodifferential equations with nonlocal conditions in an ฮฑ-norm. We assume that the linear part generates an analytic compact bounded semigroup, and that the nonlinear part is a Lipschitz continuous function with respect to the fractional power norm of the linear part. An example is also given to illustrate our main results.

๐Ÿ“œ SIMILAR VOLUMES

Existence and regularity of solutions fo
Existence and regularity of solutions for neutral partial functional integrodifferential equations
โœ Khalil Ezzinbi; Saifeddine Ghnimi ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 322 KB

In this paper, we study a class of neutral partial functional integrodifferential equations with finite delay by using the theory of resolvent operators. We give some sufficient conditions ensuring the existence, uniqueness and regularity of solutions. As an application, we also consider a diffusive