On the Perturbation–Iteration Algorithm for fractional differential equations

Journal of King Saud University: Science

Mehmet Şenol¹  İ. Timuçin Dolapci² 

[1] Department of Mathematics, Nevşehir Hacı Bektaş Veli University, 50300 Nevşehir, Turkey;Department of Mechanical Engineering, Celal Bayar University, Muradiye, 45140 Manisa, Turkey;

关键词: Caputo fractional derivative;    Fractional differential equations;    Initial value problems;    Perturbation–Iteration method;   

DOI  :  10.1016/j.jksus.2015.09.005

来源: DOAJ

【 摘 要 】

In this study, Perturbation–Iteration Algorithm, namely PIA, is applied to solve some types of fractional differential equations (FDEs) for the first time. To illustrate the efficiency of the method, numerical solutions are compared with the results published in the literature by considering some FDEs. The results confirm that the PIA is a powerful, efficient and accurate method for solving nonlinear fractional differential equations.

【 授权许可】

Unknown