Almost Automorphic Solutions to Abstract Fractional Differential Equations

<p/> <p>A new and general existence and uniqueness theorem of almost automorphic solutions is obtained for the semilinear fractional differential equation <inline-formula><graphic file="1687-1847-2010-508374-i1.gif"/></inline-formula>, in complex Banach spaces...

Full description

Bibliographic Details
Main Authors:	Liang Jin, Xiao Ti-Jun, Ding Hui-Sheng
Format:	Article
Language:	English
Published:	SpringerOpen 2010-01-01
Series:	Advances in Difference Equations
Online Access:	http://www.advancesindifferenceequations.com/content/2010/508374

id	doaj-3fd08f769d7e4901a2f9343d9dbe8c57
record_format	Article
spelling	doaj-3fd08f769d7e4901a2f9343d9dbe8c572020-11-24T20:42:00ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472010-01-0120101508374Almost Automorphic Solutions to Abstract Fractional Differential EquationsLiang JinXiao Ti-JunDing Hui-Sheng<p/> <p>A new and general existence and uniqueness theorem of almost automorphic solutions is obtained for the semilinear fractional differential equation <inline-formula><graphic file="1687-1847-2010-508374-i1.gif"/></inline-formula>, in complex Banach spaces, with <it>Stepanov-like almost automorphic coefficients</it>. Moreover, an application to a fractional relaxation-oscillation equation is given.</p> http://www.advancesindifferenceequations.com/content/2010/508374
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Liang Jin Xiao Ti-Jun Ding Hui-Sheng
spellingShingle	Liang Jin Xiao Ti-Jun Ding Hui-Sheng Almost Automorphic Solutions to Abstract Fractional Differential Equations Advances in Difference Equations
author_facet	Liang Jin Xiao Ti-Jun Ding Hui-Sheng
author_sort	Liang Jin
title	Almost Automorphic Solutions to Abstract Fractional Differential Equations
title_short	Almost Automorphic Solutions to Abstract Fractional Differential Equations
title_full	Almost Automorphic Solutions to Abstract Fractional Differential Equations
title_fullStr	Almost Automorphic Solutions to Abstract Fractional Differential Equations
title_full_unstemmed	Almost Automorphic Solutions to Abstract Fractional Differential Equations
title_sort	almost automorphic solutions to abstract fractional differential equations
publisher	SpringerOpen
series	Advances in Difference Equations
issn	1687-1839 1687-1847
publishDate	2010-01-01
description	<p/> <p>A new and general existence and uniqueness theorem of almost automorphic solutions is obtained for the semilinear fractional differential equation <inline-formula><graphic file="1687-1847-2010-508374-i1.gif"/></inline-formula>, in complex Banach spaces, with <it>Stepanov-like almost automorphic coefficients</it>. Moreover, an application to a fractional relaxation-oscillation equation is given.</p>
url	http://www.advancesindifferenceequations.com/content/2010/508374
work_keys_str_mv	AT liangjin almostautomorphicsolutionstoabstractfractionaldifferentialequations AT xiaotijun almostautomorphicsolutionstoabstractfractionaldifferentialequations AT dinghuisheng almostautomorphicsolutionstoabstractfractionaldifferentialequations
_version_	1716823556906549248

Almost Automorphic Solutions to Abstract Fractional Differential Equations

Similar Items