Existence results for fractional neutral functional integro-differential evolution equations with infinite delay in Banach spaces

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Existence results for fractional neutral functional integro-differential evolution equations with infinite delay in Banach spaces

*Correspondence: [email protected] 2Department of Mathematics and Computer Science, Faculty of Arts and Sciences, Cankaya University, Ankara, 06530, Turkey 3Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia Full list of author information is available at the end of the article Abstract In this paper, we investigate the...

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Existence and continuous dependence for fractional neutral functional differential equations

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This article presents the results on existence, uniqueness and stability of mild solutions to neutral stochastic functional evolution integro-differential equations with non-Lipschitz condition and Lipschitz condition. The existence of mild solutions for the equations are discussed by means of semigroup theory and theory of resolvent operator. Under some sufficient conditions, the results are o...

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ژورنال

عنوان ژورنال: Advances in Difference Equations

سال: 2013

ISSN: 1687-1847

DOI: 10.1186/1687-1847-2013-215