Wavelet Methods for Solving Fractional Order Differential Equations
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-05-27
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Fractional calculus is a field of applied mathematics which deals with derivatives and integrals of arbitrary orders.
The fractional calculus has gained considerable importance during the past decades mainly due to its application in diverse fields of science and engineering such as viscoelasticity, diffusion of biological population, signal processing, electromagnetism, fluid mechanics, electrochemistry, and many more.
In this paper, we review different wavelet methods for solving both linear and nonlinear fractional differential equations.
Our goal is to analyze the selected wavelet methods and assess their accuracy and efficiency with regard to solving fractional differential equations.
We discuss challenges faced by researchers in this field, and we emphasize the importance of interdisciplinary effort for advancing the study on various wavelets in order to solve differential equations of arbitrary order.
American Psychological Association (APA)
Gupta, A. K.& Ray, Santanu Saha. 2014. Wavelet Methods for Solving Fractional Order Differential Equations. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-448941
Modern Language Association (MLA)
Gupta, A. K.& Ray, Santanu Saha. Wavelet Methods for Solving Fractional Order Differential Equations. Mathematical Problems in Engineering No. 2014 (2014), pp.1-11.
https://search.emarefa.net/detail/BIM-448941
American Medical Association (AMA)
Gupta, A. K.& Ray, Santanu Saha. Wavelet Methods for Solving Fractional Order Differential Equations. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-11.
https://search.emarefa.net/detail/BIM-448941
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-448941