Application of the Laplace decomposition method for solving linear and nonlinear fractional diffusion–wave equations

Applied Mathematics Letters - Tập 24 - Trang 1799-1805 - 2011
H. Jafari1,2, C.M. Khalique1, M. Nazari2
1International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South Africa
2Department of Mathematics and Computer Science, University of Mazandaran, Babolsar, Iran

Tài liệu tham khảo

Jafari, 2007, solving fractional diffusion and wave equations by modified homotopy perturbation method, Phys. Lett. A, 370, 388, 10.1016/j.physleta.2007.05.118

Podlubny, 1999

Momani, 2004, Analytical approximate solution for fractional heat-like and wave-like equations with variable coefficients using the decomposition method, Appl. Math. Comput., 149, 51

Weitzner, 2003, Some applications of fractional equations, Commun. Nonlinear Sci. Numer. Simulat., 8, 273, 10.1016/S1007-5704(03)00049-2

Schneider, 1998, Fractional diffusion and wave equations, J. Math. Phys., 30, 134, 10.1063/1.528578

Agrawal, 2002, Solution for a fractional diffusion-wave equation defined in a bounded domain, Nonlinear Dyn., 29, 145, 10.1023/A:1016539022492

Ginoa, 1992, Fractional diffusion equation and relaxation in complex viscoelastic materials, Physica A, 191, 449, 10.1016/0378-4371(92)90566-9

Khuri, 2001, A Laplace decomposition algorithm applied to class of nonlinear differential equations, J. Math. Appl., 141, 10.1155/S1110757X01000183

Khuri, 2004, A new approach to Bratu‘s problem, Appl. Math. Comput., 147, 131, 10.1016/S0096-3003(02)00656-2

Yusufoglu (Aghadjanov), 2006, Numerical solution of Duffing equation by the Laplace decomposition algorithm, Appl. Math. Comput., 177, 572, 10.1016/j.amc.2005.07.072

Hosseinzadeh, 2010, Application of Laplace decomposition method for solving Klein–Gordon equation, World Appl. Sci. J., 8, 809

Khan, 2010, Application of Laplace decomposition method to solve nonlinear coupled partial differential equations, World Appl. Sci. J., 9, 13

Khan, 2010, Applications of Laplace decomposition to solve nonlinear partial differential equations, J. Adv. Res. Sci. Comput., 2, 52

Khan, 2011, Application of Laplace decomposition method on semi-infinite domain, Numer. Algor., 56, 211, 10.1007/s11075-010-9382-0

Khan, 2011, Restrictions and Improvements of Laplace Decomposition Method, J. Adv. Res. Sci. Comput., 3, 8

Jafari, 2006, Solving linear and nonlinear fractional diffution- and wave equations by Adomian decomposition, Appl. Math. Comput., 180, 488, 10.1016/j.amc.2005.12.031

Luchko, 1999, An operational method for solving fractional differential equations with the Caputo derivatives, Acta Math. Vietnamica, 24, 207233

Moustafa, 2003, On the Cauchy problem for some fractional order partial differential equations, Chaos Solitons Fractals, 18, 135, 10.1016/S0960-0779(02)00586-6

Samko, 1993

Mainardi, 1994, On the initial value problem for the fractional diffusion-wave equation, 246

Miller, 1993

Thông tin
Thông tin xuất bản

Applied Mathematics Letters

Tập 24

1799-1805

Thông tin tác giả