Generalized Taylor Series Method for Solving Nonlinear Fractional Differential Equations with Modified Riemann-Liouville Derivative
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-04-08
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We propose an efficient analytic method for solving nonlinear differential equations of fractional order.
The fractional derivative is defined in the sense of modified Riemann-Liouville derivative.
A new technique for calculating the generalized Taylor series coefficients (also known as “generalized differential transforms,” GDTs) of nonlinear functions and a new approach of the generalized Taylor series method (GTSM) are presented.
This new method offers a simple algorithm for computing GDTs of nonlinear functions and avoids massive computational work that usually arises in the standard method.
Several illustrative examples are demonstrated to show effectiveness of the proposed method.
American Psychological Association (APA)
Öğrekçi, Süleyman. 2015. Generalized Taylor Series Method for Solving Nonlinear Fractional Differential Equations with Modified Riemann-Liouville Derivative. Advances in Mathematical Physics،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1052983
Modern Language Association (MLA)
Öğrekçi, Süleyman. Generalized Taylor Series Method for Solving Nonlinear Fractional Differential Equations with Modified Riemann-Liouville Derivative. Advances in Mathematical Physics No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1052983
American Medical Association (AMA)
Öğrekçi, Süleyman. Generalized Taylor Series Method for Solving Nonlinear Fractional Differential Equations with Modified Riemann-Liouville Derivative. Advances in Mathematical Physics. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1052983
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1052983