Similarity solution to fractional nonlinear space-time diffusion-wave equation

被引：18

作者：

Silva Costa, F. ^{[1
]}

Marao, J. A. P. F. ^{[1
]}

Alves Soares, J. C. ^{[2
]}

Capelas de Oliveira, E. ^{[2
]}

机构：

[1] UEMA, DEMATI, Dept Math, BR-65054970 San Luis, MA, Brazil

[2] Univ Estadual Campinas, Imecc, Dept Appl Math, BR-13083859 Campinas, SP, Brazil

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2015年 / 56卷 / 03期

关键词：

ASYMPTOTIC-BEHAVIOR;

D O I：

10.1063/1.4915293

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this article, the so-called fractional nonlinear space-time wave-diffusion equation is presented and discussed. This equation is solved by the similarity method using fractional derivatives in the Caputo, Riesz-Feller, and Riesz senses. Some particular cases are presented and the corresponding solutions are shown by means of 2-D and 3-D plots. (C) 2015 AIP Publishing LLC.

引用

页数：16

共 50 条

[21] Backward problems in time for fractional diffusion-wave equation
Floridia, G.
Yamamoto, M.
INVERSE PROBLEMS, 2020, 36 (12)
[22] On the solution of the space-time fractional cubic nonlinear Schrodinger equation
Yousif, E. A.
Abdel-Salam, E. A-B.
El-Aasser, M. A.
RESULTS IN PHYSICS, 2018, 8 : 702 - 708
[23] Numerical solution of the conformable space-time fractional wave equation
Yaslan, H. Cerdik
CHINESE JOURNAL OF PHYSICS, 2018, 56 (06) : 2916 - 2925
[24] Wavelets method for the time fractional diffusion-wave equation
Heydari, M. H.
Hooshmandasl, M. R.
Ghaini, F. M. Maalek
Cattani, C.
PHYSICS LETTERS A, 2015, 379 (03) : 71 - 76
[25] The analytical solution and numerical solution of the fractional diffusion-wave equation with damping
Chen, J.
Liu, F.
Anh, V.
Shen, S.
Liu, Q.
Liao, C.
APPLIED MATHEMATICS AND COMPUTATION, 2012, 219 (04) : 1737 - 1748
[26] Solution for a Fractional Diffusion-Wave Equation Defined in a Bounded Domain
Om P. Agrawal
Nonlinear Dynamics, 2002, 29 : 145 - 155
[27] OSCILLATION OF TIME FRACTIONAL VECTOR DIFFUSION-WAVE EQUATION WITH FRACTIONAL DAMPING
Ramesh, R.
Harikrishnan, S.
Nieto, J. J.
Prakash, P.
OPUSCULA MATHEMATICA, 2020, 40 (02) : 291 - 305
[28] Solution for a fractional diffusion-wave equation defined in a bounded domain
Agrawal, OP
NONLINEAR DYNAMICS, 2002, 29 (1-4) : 145 - 155
[29] CONTINUITY WITH RESPECT TO FRACTIONAL ORDER OF THE TIME FRACTIONAL DIFFUSION-WAVE EQUATION
Nguyen Huy Tuan
O'Regan, Donal
Tran Bao Ngoc
EVOLUTION EQUATIONS AND CONTROL THEORY, 2020, 9 (03): : 773 - 793
[30] On numerical solution of the time-fractional diffusion-wave equation with the fictitious time integration method
M. S. Hashemi
Mustafa Inc
M. Parto-Haghighi
Mustafa Bayram
The European Physical Journal Plus, 134

← 1 2 3 4 5 →