Analytical solution of the reaction-diffusion equation with space-time fractional derivatives by means of the generalized differential transform method

Kuwait Journal of Science

PRATIBHA MANOHAR¹  MRIDULA GARG¹ 

[1] Department of Mathematics, University of Rajasthan, Jaipur-302004, Rajasthan, India

关键词: Adomian decomposition method;    Caputo fractional derivative;    fractional reaction-diffusion equation;    generalized differential transform method.;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Kuwait University * Academic Publication Council

【 摘 要 】

ABSTRACT In the present paper we use generalized differential transform method to derive analytical solution of linear and non-linear space-time fractional reaction-diffusion equations on a finite domain. The space and time fractional derivatives are considered in Caputo sense. Some examples are given and it has been observed that the generalized differential transform method is very effective and convenient and overcomes the difficulty of Adomian decomposition method and homotopy perturbation method.  

【 授权许可】

Unknown