INVERSE CAUCHY PROBLEM FOR FRACTIONAL TELEGRAPH EQUATION WITH DISTRIBUTIONS

被引：1

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

共 50 条

[21] Inverse Problems for Initial Conditions of the Mixed Problem for the Telegraph Equation
K. B. Sabitov
A. R. Zaynullov
[J]. Journal of Mathematical Sciences, 2019, 241 (5) : 622 - 645
[22] AN INVERSE SOURCE PROBLEM OF THE POISSON EQUATION WITH CAUCHY DATA
Liu, Ji-Chuan
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[23] On the Cauchy problem for the fractional Camassa-Holm equation
Mutlubas, N. Duruk
[J]. MONATSHEFTE FUR MATHEMATIK, 2019, 190 (04): : 755 - 768
[24] CAUCHY PROBLEM FOR GENERAL TIME FRACTIONAL DIFFUSION EQUATION
Sin, Chung-Sik
[J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2020, 23 (05) : 1545 - 1559
[25] Cauchy Problem for General Time Fractional Diffusion Equation
Chung-Sik Sin
[J]. Fractional Calculus and Applied Analysis, 2020, 23 : 1545 - 1559
[26] Cauchy Problem for an Abstract Evolution Equation of Fractional Order
Kukushkin, Maksim V.
[J]. FRACTAL AND FRACTIONAL, 2023, 7 (02)
[27] Inverse scattering problem for vector fields and the Cauchy problem for the heavenly equation
Manakov, S. V.
Santini, P. M.
[J]. PHYSICS LETTERS A, 2006, 359 (06) : 613 - 619
[28] A Note on the Inverse Problem for a Fractional Parabolic Equation
Erdogan, Abdullah Said
Uygun, Hulya
[J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
[29] An inverse problem for the fractional porous medium equation
Li, Li
[J]. ASYMPTOTIC ANALYSIS, 2023, 131 (3-4) : 583 - 594
[30] Coefficient inverse problem for a fractional diffusion equation
Miller, Luc
Yamamoto, Masahiro
[J]. INVERSE PROBLEMS, 2013, 29 (07)

← 1 2 3 4 5 →