Modified cauchy problem for a loaded second-order parabolic equation with constant coefficients

被引：0

作者：

M. O. Mamchuev

机构：

[1] Institute for Applied Mathematics and Automation,

来源：

Differential Equations | 2015年 / 51卷

关键词：

Cauchy Problem; Fundamental Solution; Fractional Derivative; Regular Solution; Homogeneous Problem;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We give a well-posed statement of the initial value problem for a second-order parabolic equation containing Riemann–Liouville fractional partial derivatives in one of the two independent variables. We prove existence and uniqueness theorems for the solution of this problem.

引用

页码：1137 / 1144

页数：7

共 50 条

[1] Modified cauchy problem for a loaded second-order parabolic equation with constant coefficients
Mamchuev, M. O.
[J]. DIFFERENTIAL EQUATIONS, 2015, 51 (09) : 1137 - 1144
[2] Fundamental solution of a loaded second-order parabolic equation with constant coefficients
Mamchuev, M. O.
[J]. DIFFERENTIAL EQUATIONS, 2015, 51 (05) : 620 - 629
[3] Fundamental solution of a loaded second-order parabolic equation with constant coefficients
M. O. Mamchuev
[J]. Differential Equations, 2015, 51 : 620 - 629
[4] CAUCHY PROBLEM FOR SECOND-ORDER PARABOLIC EQUATIONS WITH GROWING COEFFICIENTS
PROKOPENKO, LN
[J]. DOKLADY AKADEMII NAUK SSSR, 1962, 144 (06): : 1221 - &
[5] Solutions of the main boundary value problems for a loaded second-order parabolic equation with constant coefficients
M. O. Mamchuev
[J]. Differential Equations, 2016, 52 : 789 - 797
[6] Solutions of the main boundary value problems for a loaded second-order parabolic equation with constant coefficients
Mamchuev, M. O.
[J]. DIFFERENTIAL EQUATIONS, 2016, 52 (06) : 789 - 797
[7] ON UNIQUENESS OF CAUCHY PROBLEM SOLUTION FOR SECOND-ORDER EQUATION WITH VARIABLE COEFFICIENTS
CHAUS, NN
[J]. DOKLADY AKADEMII NAUK SSSR, 1970, 191 (06): : 1244 - &
[8] Simulation Algorithms for the Second-Order Parabolic Cauchy Problem
Sipin, A. S.
[J]. VESTNIK ST PETERSBURG UNIVERSITY-MATHEMATICS, 2011, 44 (03) : 223 - 232
[9] On the solution of the Cauchy problem for a second-order linear differential equation with constant unbounded operator coefficients in a Banach space
Fomin, VI
[J]. DIFFERENTIAL EQUATIONS, 2005, 41 (08) : 1187 - 1191
[10] On the Solution of the Cauchy Problem for a Second-Order Linear Differential Equation with Constant Unbounded Operator Coefficients in a Banach Space
V. I. Fomin
[J]. Differential Equations, 2005, 41 : 1187 - 1191

← 1 2 3 4 5 →