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<responseDate>2018-01-17T12:17:19Z</responseDate>
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<datestamp>2018-01-09</datestamp>
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<publisher>HAL CCSD</publisher>
<title lang=en>Asymptotic Behavior of Mild Solutions of Some Fractional Functional Integro-differential Equations</title>
<creator>Mophou, Gisèle</creator>
<creator>N'Guérékata, Gaston, </creator>
<creator>Valmorin, Vincent</creator>
<contributor>Centre de Recherche en Economie, Gestion, Modélisation et Informatique Appliquée (CEREGMIA) ; Université des Antilles et de la Guyane (UAG)</contributor>
<contributor>Department of Mathematics, Morgan State University ; Morgan State University</contributor>
<description>International audience</description>
<source>African Diaspora Journal of Mathematics</source>
<identifier>hal-01678067</identifier>
<identifier>https://hal.archives-ouvertes.fr/hal-01678067</identifier>
<source>https://hal.archives-ouvertes.fr/hal-01678067</source>
<source>African Diaspora Journal of Mathematics, 2013, 16 (1), pp.70-81</source>
<language>en</language>
<subject lang=en>Integro-differential equation</subject>
<subject lang=en> mild solution</subject>
<subject lang=en> anti-periodicity</subject>
<subject>[MATH.MATH-FA] Mathematics [math]/Functional Analysis [math.FA]</subject>
<type>info:eu-repo/semantics/article</type>
<type>Journal articles</type>
<description lang=en>In this paper, we prove a new composition theorem for asymptotically antiperiodic and weighted pseudo antiperiodic functions. We also give some sufficient conditions to ensure invertibility of convolution operators in the space of antiperiodic functions. Then we prove the existence and uniqueness of asymptotically antiperiodic mild solutions to some fractional functional integro-differential equations in a Banach space using the Banach's fixed point theorem.</description>
<date>2013</date>
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