Pseudo almost automorphic solutions of fractional order neutral differential equation

被引:0
作者
Syed Abbas
机构
[1] Indian Institute of Technology,Department of Mathematics and Statistics
来源
Semigroup Forum | 2010年 / 81卷
关键词
Pseudo almost automorphic function; Almost automorphic function; Fractional differential equation; Fixed point theorems;
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学科分类号
摘要
In this paper we discuss the pseudo almost automorphic solution of a fractional order neutral differential equation in a Banach space X. The results are established using the Krasnoselskii’s fixed point theorem.
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页码:393 / 404
页数:11
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共 38 条
[1]  
Acquistapace P.(1988)Evolution operators and strong solution of abstract linear parabolic equations Diff. Integral Equ. 1 433-457
[2]  
Acquistapace P.(1987)Aunified approach to abstract linear parabolic equations Rend. Semin. Math. Univ. Padova 78 47-107
[3]  
Terreni B.(1992)On the fractional differential equations Appl. Math. Comput. 49 205-213
[4]  
El-Sayed A.M.A.(1988)Fractional order differential equation Kyungpook Math. J. 28 18-22
[5]  
El-Sayed A.M.A.(1998)Nonlinear functional differential equations of arbitrary orders Nonlinear Anal. 33 181-186
[6]  
El-Sayed A.M.A.(2009)Nonlocal Cauchy problem for abstract fractional next term semilinear previous evolution equations Nonlinear Anal. TMA 71 4471-4475
[7]  
Balachandran K.(1964)Continuous mappings of almost automorphic and almost automorphic functions Proc. Natl. Sci. USA 52 907-910
[8]  
Park J.Y.(2004)Some results on a class of fractional functional differential equations Commun. Appl. Nonlinear Anal. 11 67-75
[9]  
Bochner S.(1971)A new dissipation model based on memory mechanism Pure Appl. Geophys. 91 134-147
[10]  
Yu C.(1996)Existence and uniqueness for a nonlinear fractional differential equation J. Math. Anal. Appl. 204 609-625