Analytic Approximation of Time-Fractional Diffusion-Wave Equation Based on Connection of Fractional and Ordinary Calculus

被引:0
作者
Fallahgoul, H. [1 ]
Hashemiparast, S. M. [1 ]
机构
[1] KN Toosi Univ Technol, Fac Sci, Dept Math, Tehran, Iran
关键词
Diffusion Equation; Fractional Calculus; Fractional Partial Differential Equation;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper, we present a connection between fractional and ordinary derivative, which can be used in various fields of science and engineering deal with dynamical systems for solving fractional ordinary and partial differential equations. Some examples are given to show ability of the method for solving the fractional nonlinear equations.
引用
收藏
页码:1430 / 1443
页数:14
相关论文
共 16 条
[1]  
[Anonymous], 2006, THEORY APPL FRACTION
[2]  
[Anonymous], 1999, FRACTIONAL DIFFERENT
[3]   Application of a fractional advection-dispersion equation [J].
Benson, DA ;
Wheatcraft, SW ;
Meerschaert, MM .
WATER RESOURCES RESEARCH, 2000, 36 (06) :1403-1412
[4]  
Blackledge Jonathan M., 2010, IAENG International Journal of Applied Mathematics, V40, P130
[5]   NEW DISSIPATION MODEL BASED ON MEMORY MECHANISM [J].
CAPUTO, M ;
MAINARDI, F .
PURE AND APPLIED GEOPHYSICS, 1971, 91 (08) :134-&
[6]   CLOSED FORM SOLUTIONS TO THE INTEGRABLE DISCRETE NONLINEAR SCHRODINGER EQUATION [J].
Demontis, Francesco ;
van der Mee, Cornelis .
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2012, 19 (02) :136-157
[7]  
Fabozzi Frank J., 2012, ANAL APPROXIMATION P
[8]   Some recent advances in theory and simulation of fractional diffusion processes [J].
Gorenflo, Rudolf ;
Mainardi, Francesco .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 229 (02) :400-415
[9]  
Hashemiparast S. M., 2011, ANN U FERRARA, V57, P67
[10]  
Hashemiparast S. M., 2009, J COMPUTATIONAL APPL, V229, P400