Series Solution for the Time-Fractional Coupled mKdV Equation Using the Homotopy Analysis Method
Joint Authors
Aguilar, José Francisco Gómez
Yépez-Martínez, Huitzilin
Sosa, Ivan O.
Reyes, Juan M.
Olivares Peregrino, Víctor Hugo
Escobar-Jiménez, R. F.
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-11-24
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We present new analytical approximated solutions for the space-time fractional nonlinear partial differential coupled mKdV equation.
A homotopy analysis method is considered to obtain an infinite series solution.
The effectiveness of this method is demonstrated by finding exact solutions of the fractional equation proposed, for the special case when the limit of the integral order of the time derivative is considered.
The comparison shows a precise agreement between these solutions.
American Psychological Association (APA)
Aguilar, José Francisco Gómez& Yépez-Martínez, Huitzilin& Escobar-Jiménez, R. F.& Olivares Peregrino, Víctor Hugo& Reyes, Juan M.& Sosa, Ivan O.. 2016. Series Solution for the Time-Fractional Coupled mKdV Equation Using the Homotopy Analysis Method. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1112522
Modern Language Association (MLA)
Aguilar, José Francisco Gómez…[et al.]. Series Solution for the Time-Fractional Coupled mKdV Equation Using the Homotopy Analysis Method. Mathematical Problems in Engineering No. 2016 (2016), pp.1-8.
https://search.emarefa.net/detail/BIM-1112522
American Medical Association (AMA)
Aguilar, José Francisco Gómez& Yépez-Martínez, Huitzilin& Escobar-Jiménez, R. F.& Olivares Peregrino, Víctor Hugo& Reyes, Juan M.& Sosa, Ivan O.. Series Solution for the Time-Fractional Coupled mKdV Equation Using the Homotopy Analysis Method. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-8.
https://search.emarefa.net/detail/BIM-1112522
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112522