Existence and uniqueness of mild solutions for semilinear integro-differential equations of fractional order with nonlocal initial conditions and delays

被引：0
作者：
Lanying Hu
Yong Ren
R. Sakthivel
机构：
[1] Anhui Normal University,Department of Mathematics
[2] University of Tasmania,School of Mathematics
[3] Sungkyunkwan University,Department of Mathematics
来源：
Semigroup Forum | 2009年 / 79卷
关键词：
Fractional differential equation; Nonlocal initial condition; Fixed point theorem; Mild solution;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we establish the existence and uniqueness of mild solutions for a class of semilinear integro-differential equations of fractional order with nonlocal initial conditions and delays in α-norm. And the main tool is the fixed point theorem due to Sadovskii. Some known results are generalized.
引用
收藏
页码：507 / 514
页数：7
相关论文
共 20 条
[1]  
Anguraj A.(2009)Nonlocal Cauchy problem for some fractional abstract differential equations in Banach spaces Commun. Math. Anal. 6 31-35
[2]  
Karthikeyan P.(1991)Theorems about the existence and uniqueness of a solution of a semilinear evolution nonlocal Cauchy problem J. Math. Anal. Appl. 162 496-505
[3]  
N’Guérékata G.M.(1997)On a mild solution of a semilinear functional-differential evolution nonlocal problem J. Appl. Math. Stoch. Anal. 10 265-271
[4]  
Byszewski L.(1993)Exponential decay of solutions of semilinear parabolic equations with nonlocal initial conditions J. Math. Anal. Appl. 179 630-637
[5]  
Byszewski L.(2008)Theory of fractional differential equations Nonlinear Anal. 60 3337-3343
[6]  
Akca H.(2008)Basic theory of fractional differential equations Nonlinear Anal. 69 2677-2682
[7]  
Deng K.(2007)Global existence and chaos control of fractional differential equations J. Math. Anal. Appl. 332 709-726
[8]  
Lakshmikantham V.(1995)Relaxation in filled polymers: A fractional calculus approach J. Chem. Phys. 103 7180-7186
[9]  
Lakshmikantham V.(2009)Mild solutions for semilinear fractional differential equations Electron. J. Differ. Equ. 21 1-9
[10]  
Vatsala A.S.(2009)A Cauchy Problem for some fractional abstract differential equation with nonlocal conditions Nonlinear Anal. 70 1873–1876-76
12