Analytical treatment of differential equations with fractional coordinate derivatives

作者：Golbabai A^*; Sayevand K

来源：Computers & Mathematics with Applications, 2011, 62(3): 1003-1012.

DOI：10.1016/j.camwa.2011.03.047

• Fractional differential equations
• Fourth-order fractional diffusion-wave equation
• Jumarie's derivative
• Homotopy perturbation method
• Mittag-Leffler stability

This paper outlines a reliable strategy to use the homotopy perturbation method based on Jumarie's derivative for solving fractional differential equations. In this framework, compact structures of fourth-order fractional diffusion-wave equations are considered as prototype examples. Moreover, convergence of the proposed approach for these types of equations is investigated. Results show that the response expressions are Mittag-Leffler stable.

• 出版日期2011-8