A comparison between numerical methods for solving Fuzzy fractional differential equations

• Main Authors: Khan Najeeb Alam, Riaz Fatima, Razzaq Oyoon Abdul
• Format: Article
• Language: English
• Published: De Gruyter 2014-09-01
• Series: Nonlinear Engineering
• Subjects: fractional order; fuzzy initial value problem (fivp); perturbation method; fuzzy differential equations; improved fractional euler's method (ifem)
• Online Access: https://doi.org/10.1515/nleng-2013-0029
• ISSN: 2192-8010; 2192-8029

In this paper, numerical simulation of linear and nonlinear fuzzy initial value problems of fractional order has been done. A modificaton in the improved Euler’s method for fuzzy fractional order is proposed and utilized. Also, the two component homotopy perturbation method also known as a modified homotopy perturbation method (MHPM) is employed to solve the considered problems. The results obtained from the considered techniques are compared. These methods are illustrated by solving several examples. Effciency and exactness of results worked out from MHPM is examined from the tables and comparatively it is found that MHPM is more accurate and closer to the exact solutions than the existing methods.