INVERSE CAUCHY PROBLEM FOR FRACTIONAL TELEGRAPH EQUATION WITH DISTRIBUTIONS

被引：2

作者：

Lopushanska, H. ^{[1
]}

Rapita, V ^{[1
]}

机构：

[1] Ivan Franko Natl Univ, 1 Univ Str, UA-79000 Lvov, Ukraine

来源：

CARPATHIAN MATHEMATICAL PUBLICATIONS | 2016年 / 8卷 / 01期

关键词：

generalized function; fractional derivative; inverse problem; Green vector-function;

D O I：

10.15330/cmp.8.1.118-126

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The inverse Cauchy problem for the fractional telegraph equation u(t)((alpha)) - r(t)u(t)((beta)) + a(2)(-Delta)(gamma/2)u = F-0(x)g(t), (x,t) is an element of R-n x (0, T], with given distributions in the right- hand sides of the equation and initial conditions is studied. Our task is to determinate a pair of functions: a generalized solution u (continuous in time variable in general sense) and unknown continuous minor coefficient r(t). The unique solvability of the problem is established.

引用

页码：118 / 126

页数：9

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