One Inverse Problem for the Diffusion-Wave Equation in Bounded Domain

被引：5
|
作者：
Lopushanskyi, A. O. [1 ]
Lopushanska, H. P.
机构：
[1] Rzeszow Univ, Rzeszow, Poland
来源：
UKRAINIAN MATHEMATICAL JOURNAL | 2014年 / 66卷 / 05期
关键词：
Inverse Problem; Fractional Derivative; Positive Continuous Function; Fractional Diffusion Equation; Inverse Source Problem;
D O I：
10.1007/s11253-014-0969-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the theorems on the existence and unique determination of a pair of functions: a(t) > 0, t is an element of [0,T], and the solution u(x, t) of the first boundary-value problem for the equation D-t(beta) u - a(t)u(xx) = F-0(x, t), (x, t) is an element of (0, l) x (0, T], with regularized derivative D(t)(beta)u of the fractional order beta is an element of (0, 2) under the additional condition a(t)u(x) (0, t) = F(t), t is an element of [0,T].
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页码：743 / 757
页数：15
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