Approximate Series Solution of Nonlinear, Fractional Klein-Gordon Equations Using Fractional Reduced Differential Transform Method | Science Publications

Journal of Mathematics and Statistics

Hammad Khalil¹  Mohammed Al-Smadi¹  Rahmat Ali Khan¹  Asad Freihat¹  Eman Abuteen¹ 

关键词: Nonlinear Partial Differential Equation;    Fractional Calculus;    Series Solution;    Fractional Reduced Differential Transform Method;    Caputo Time-Fractional Derivative;   

DOI  :  10.3844/jmssp.2016.23.33

学科分类：社会科学、人文和艺术（综合）

来源: Science Publications

【 摘 要 】

This analysis proposes an analytical-numerical approach for providing solutions of a class of nonlinear fractional Klein-Gordon equation subjected to appropriate initial conditions in Caputo sense by using the Fractional Reduced Differential Transform Method (FRDTM). This technique provides the solutions very accurately and efficiently in convergent series formula with easily computable coefficients. The behavior of the approximate series solution for different values of fractional-order

【 授权许可】

Unknown