About the Existence Results of Fractional Neutral Integrodifferential Inclusions with State-Dependent Delay in Fréchet Spaces

About the Existence Results of Fractional Neutral Integrodifferential Inclusions with State-Dependent Delay in Fréchet Spaces

A recent nonlinear alternative for multivalued contractions in Fréchet spaces thanks to Frigon fixed point theorem consolidated with semigroup theory is utilized to examine the existence results for fractional neutral integrodifferential inclusions (FNIDI) with state-dependent delay (SDD). An exampl...

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Main Authors: Selvaraj Suganya, Dumitru Baleanu, Siva Selvarasu, Mani Mallika Arjunan
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2016/6165804
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spelling doaj-b2a4e65af7244448bea3aeed344dee462020-11-24T20:58:38ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882016-01-01201610.1155/2016/61658046165804About the Existence Results of Fractional Neutral Integrodifferential Inclusions with State-Dependent Delay in Fréchet SpacesSelvaraj Suganya0Dumitru Baleanu1Siva Selvarasu2Mani Mallika Arjunan3Department of Mathematics, C. B. M. College, Kovaipudur, Coimbatore, Tamil Nadu 641 042, IndiaDepartment of Mathematics and Computer Sciences, Faculty of Art and Sciences, Cankaya University, 06530 Ankara, TurkeyDepartment of Mathematics, C. B. M. College, Kovaipudur, Coimbatore, Tamil Nadu 641 042, IndiaDepartment of Mathematics, C. B. M. College, Kovaipudur, Coimbatore, Tamil Nadu 641 042, IndiaA recent nonlinear alternative for multivalued contractions in Fréchet spaces thanks to Frigon fixed point theorem consolidated with semigroup theory is utilized to examine the existence results for fractional neutral integrodifferential inclusions (FNIDI) with state-dependent delay (SDD). An example is described to represent the hypothesis.http://dx.doi.org/10.1155/2016/6165804
collection DOAJ
language English
format Article
sources DOAJ
author Selvaraj Suganya
Dumitru Baleanu
Siva Selvarasu
Mani Mallika Arjunan
spellingShingle Selvaraj Suganya
Dumitru Baleanu
Siva Selvarasu
Mani Mallika Arjunan
About the Existence Results of Fractional Neutral Integrodifferential Inclusions with State-Dependent Delay in Fréchet Spaces
Journal of Function Spaces
author_facet Selvaraj Suganya
Dumitru Baleanu
Siva Selvarasu
Mani Mallika Arjunan
author_sort Selvaraj Suganya
title About the Existence Results of Fractional Neutral Integrodifferential Inclusions with State-Dependent Delay in Fréchet Spaces
title_short About the Existence Results of Fractional Neutral Integrodifferential Inclusions with State-Dependent Delay in Fréchet Spaces
title_full About the Existence Results of Fractional Neutral Integrodifferential Inclusions with State-Dependent Delay in Fréchet Spaces
title_fullStr About the Existence Results of Fractional Neutral Integrodifferential Inclusions with State-Dependent Delay in Fréchet Spaces
title_full_unstemmed About the Existence Results of Fractional Neutral Integrodifferential Inclusions with State-Dependent Delay in Fréchet Spaces
title_sort about the existence results of fractional neutral integrodifferential inclusions with state-dependent delay in fréchet spaces
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2016-01-01
description A recent nonlinear alternative for multivalued contractions in Fréchet spaces thanks to Frigon fixed point theorem consolidated with semigroup theory is utilized to examine the existence results for fractional neutral integrodifferential inclusions (FNIDI) with state-dependent delay (SDD). An example is described to represent the hypothesis.
url http://dx.doi.org/10.1155/2016/6165804
work_keys_str_mv AT selvarajsuganya abouttheexistenceresultsoffractionalneutralintegrodifferentialinclusionswithstatedependentdelayinfrechetspaces
AT dumitrubaleanu abouttheexistenceresultsoffractionalneutralintegrodifferentialinclusionswithstatedependentdelayinfrechetspaces
AT sivaselvarasu abouttheexistenceresultsoffractionalneutralintegrodifferentialinclusionswithstatedependentdelayinfrechetspaces
AT manimallikaarjunan abouttheexistenceresultsoffractionalneutralintegrodifferentialinclusionswithstatedependentdelayinfrechetspaces
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