On some fractional evolution equations

被引:32
作者
El-Borai, Mahmoud M. [1 ]
El-Nadi, Khairia El-Said [1 ]
El-Akabawy, Eman G. [1 ]
机构
[1] Univ Alexandria, Fac Sci, Alexandria, Egypt
关键词
Fractional evolution equation; Semigroup; Resolvent operator; SEMIGROUPS;
D O I
10.1016/j.camwa.2009.05.005
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper the solutions of some evolution equations with fractional orders in a Banach space are considered. Conditions are given which ensure the existence of a resolvent operator for an evolution equation in a Banach space. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1352 / 1355
页数:4
相关论文
共 11 条
[1]  
ABUJABAL HAS, 1996, KOREAN J COMPUTATION, V3
[2]  
BAEUMER B, 2008, INT J THEORY APPL, V8, P372
[3]   Existence of solutions and controllability of nonlinear integrodifferential systems in Banach spaces [J].
Balachandran, K ;
Park, JY .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2003, (1-2) :65-79
[4]   Semigroups and some nonlinear fractional differential equations [J].
El-Borai, MM .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 149 (03) :823-831
[5]   Evolution equations without semigroups [J].
El-Borai, MM .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 149 (03) :815-821
[6]  
ELBORAI MM, 2004, APPL MATH STOCHASTIC, V3, P197
[7]  
ELBORAI MM, 2006, INT J CONT MATH SCI, V1, P719
[8]  
GRIMMER RC, 1982, T AM MATH SOC, V273, P33
[9]   Fractional reaction-diffusion [J].
Henry, BI ;
Wearne, SL .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2000, 276 (3-4) :448-455
[10]  
Hille E., 1957, American Mathematical Society Colloquium Publications, V31