ON THE FRACTIONAL DIFFERENTIAL-EQUATIONS

被引:33
作者
ELSAYED, AMA
机构
关键词
D O I
10.1016/0096-3003(92)90024-U
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we are concerned with the semilinear differential equation [GRAPHICS] where a is any positive real number. In [3] the author has proved the existence, uniqueness, and some properties of the solution of this equation when 0 < alpha < 1. Here we mainly study (besides the other properties) the continuation of the solution of this equation to the solution of the corresponding initial value problem when [alpha] = k, k = 1,2,3, ... Applications of singular integro-differential equations are considered.
引用
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页码:205 / 213
页数:9
相关论文
共 5 条
[1]  
[Anonymous], 1974, MATH ANAL
[2]  
Curtain R. F., 1977, FUNCTIONAL ANAL MODE
[3]  
ELSAYED AMA, 1988, KYUNGPOOK MATH J, V28
[4]  
Gelfand I. M., 1964, GENERALIZED FUNCTION, VI-III
[5]  
SHILOVE GE, 1968, MATH ITS APPLICATION