The Cauchy problem in a space of generalized functions for the equations possessing the fractional time derivative

被引：3

作者：

Lopushanska, H. P. ^{[1
]}

Lopushanskyj, A. O. ^{[2
]}

Pasichnik, E. V. ^{[1
]}

机构：

[1] Ivan Franko Natl Univ Lviv, Lvov, Ukraine

[2] Rzeszow Univ, Inst Math, Rzeszow, Poland

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2011年 / 52卷 / 06期

关键词：

generalized function; convolution; derivative of fractional order; Green function;

D O I：

10.1134/S0037446611060073

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the existence and uniqueness theorem of solutions to the Cauchy problem for the equations with the right-hand side and the initial condition possessing the fractional time derivative and generalized functions.

引用

页码：1022 / 1031

页数：10

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