Thermoelasticity that uses fractional heat conduction equation

被引：3

作者：

Povstenko Y.Z. ^{[1
,2
]}

机构：

[1] Pidstryhach Institute of Applied Problems of Mechanics and Mathematics, Ukrainian National Academy of Sciences, Lviv

[2] Institute of Mathematics and Computer Science, Jan Długosz University of Czȩstochowa, Czȩstochowa

来源：

Journal of Mathematical Sciences | 2009年 / 162卷 / 2期

关键词：

Fractional Order; Fractional Derivative; Fractional Calculus; Fractional Differential Equation; Heat Conduction Equation;

D O I：

10.1007/s10958-009-9636-3

中图分类号：

学科分类号：

摘要：

A survey of nonlocal generalizations of the Fourier law and heat conduction equation is presented. More attention is focused on the heat conduction with time and space fractional derivatives and on the theory of thermal stresses based on this equation. © 2009 Springer Science+Business Media, Inc.

引用

页码：296 / 305

页数：9

共 50 条

[11] RECONSTRUCTION OF THE BOUNDARY CONDITION FOR THE HEAT CONDUCTION EQUATION OF FRACTIONAL ORDER
Brociek, Rafal
Slota, Damian
THERMAL SCIENCE, 2015, 19 : S35 - S42
[12] RECONSTRUCTION OF THE THERMAL CONDUCTIVITY COEFFICIENT IN THE SPACE FRACTIONAL HEAT CONDUCTION EQUATION
Brocieik, Rafal
Slota, Damian
THERMAL SCIENCE, 2017, 21 (01): : 81 - 88
[13] Fractional heat conduction equation for an infinitely generalized, thermoelastic, long solid cylinder
Abouelregal, Ahmed E.
INTERNATIONAL JOURNAL FOR COMPUTATIONAL METHODS IN ENGINEERING SCIENCE & MECHANICS, 2016, 17 (5-6) : 374 - 381
[14] Thermoelastic Interaction in an Infinite Long Hollow Cylinder with Fractional Heat Conduction Equation
Abouelregal, Ahmed. E.
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2017, 9 (02) : 378 - 392
[15] The Cattaneo-type time fractional heat conduction equation for laser heating
Qi, Hai-Tao
Xu, Huan-Ying
Guo, Xin-Wei
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2013, 66 (05) : 824 - 831
[16] An Efficient Approach for Solving One-Dimensional Fractional Heat Conduction Equation
Batiha, Iqbal M.
Jebril, Iqbal H.
Zuriqat, Mohammad
Kanaan, Hamza S.
Momani, Shaher
FRONTIERS IN HEAT AND MASS TRANSFER, 2023, 21 : 487 - 504
[17] Nonaxisymmetric solutions of the time-fractional heat conduction equation in a half-space in cylindrical coordinates
Povstenko Y.Z.
Journal of Mathematical Sciences, 2012, 183 (2) : 252 - 260
[18] A mollified approach to reconstruct an unknown boundary condition for the heat conduction equation of fractional order
Babaei, Afshin
Banihashemi, Seddigheh
INTERNATIONAL JOURNAL OF COMPUTING SCIENCE AND MATHEMATICS, 2021, 14 (04) : 369 - 379
[19] Fundamental solutions to the fractional heat conduction equation in a ball under Robin boundary condition
Povstenko, Yuriy
CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2014, 12 (04): : 611 - 622
[20] NON-DIFFERENTIABLE SOLUTIONS FOR NON-LINEAR LOCAL FRACTIONAL HEAT CONDUCTION EQUATION
Zhang, Sheng
Zheng, Xiaowei
THERMAL SCIENCE, 2021, 25 (SpecialIssue 2): : S309 - S314

← 1 2 3 4 5 →