The Cauchy problem for the diffusion-wave equation with the Caputo partial derivative

被引：27

作者：

Voroshilov, A. A. ^{[1
]}

Kilbas, A. A. ^{[1
]}

机构：

[1] Belarusian State Univ, Minsk, BELARUS

来源：

DIFFERENTIAL EQUATIONS | 2006年 / 42卷 / 05期

关键词：

Cauchy Problem; Fundamental Solution; Fractional Calculus; Fractional Caputo Derivative; Caputo Derivative;

D O I：

10.1134/S0012266106050041

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：638 / 649

页数：12

共 50 条

[1] The Cauchy problem for the diffusion-wave equation with the Caputo partial derivative
A. A. Voroshilov
A. A. Kilbas
Differential Equations, 2006, 42 : 638 - 649
[2] Existence conditions for a classical solution of the cauchy problem for the diffusion-wave equation with a partial Caputo derivative
Voroshilov, A. A.
Kilbas, A. A.
DOKLADY MATHEMATICS, 2007, 75 (03) : 407 - 410
[3] Existence conditions for a classical solution of the cauchy problem for the diffusion-wave equation with a partial Caputo derivative
A. A. Voroshilov
A. A. Kilbas
Doklady Mathematics, 2007, 75 : 407 - 410
[4] A Cauchy-type problem for the diffusion-wave equation with Riemann-Liouville partial derivative
Voroshilov, A. A.
Kilbas, A. A.
DOKLADY MATHEMATICS, 2006, 73 (01) : 6 - 10
[5] A Cauchy-type problem for the diffusion-wave equation with Riemann-Liouville partial derivative
A. A. Voroshilov
A. A. Kilbas
Doklady Mathematics, 2006, 73 : 6 - 10
[6] Stabilization of Solutions to the Cauchy Problem for Fractional Diffusion-Wave Equation
Pskhu A.V.
Journal of Mathematical Sciences, 2020, 250 (5) : 800 - 810
[7] A boundary element method formulation based on the Caputo derivative for the solution of the diffusion-wave equation
J. A. M. Carrer
B. S. Solheid
J. Trevelyan
M. Seaid
Engineering with Computers, 2022, 38 : 3563 - 3580
[8] A boundary element method formulation based on the Caputo derivative for the solution of the diffusion-wave equation
Carrer, J. A. M.
Solheid, B. S.
Trevelyan, J.
Seaid, M.
ENGINEERING WITH COMPUTERS, 2022, 38 (SUPPL 4) : 3563 - 3580
[9] INVERSE SOURCE CAUCHY PROBLEM FOR A TIME FRACTIONAL DIFFUSION-WAVE EQUATION WITH DISTRIBUTIONS
Lopushansky, Andrzej
Lopushanska, Halyna
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
[10] Stability and numerical analysis of fractional BBM-Burger equation and fractional diffusion-wave equation with Caputo derivative
Lalit Mohan
Amit Prakash
Optical and Quantum Electronics, 2024, 56

← 1 2 3 4 5 →