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Solving Linear and Nonlinear Fractional Differential Equations Using Spline Functions
Joint Authors
Momani, Shaher
al-Rabtah, Adel
Ramadan, Mohamed A.
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-08
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
Suitable spline functions of polynomial form are derived and used to solve linear and nonlinear fractional differential equations.
The proposed method is applicable for 0<α≤1 and α≥1, where α denotes the order of the fractional derivative in the Caputo sense.
The results obtained are in good agreement with the exact analytical solutions and the numerical results presented elsewhere.
Results also show that the technique introduced here is robust and easy to apply.
American Psychological Association (APA)
al-Rabtah, Adel& Momani, Shaher& Ramadan, Mohamed A.. 2012. Solving Linear and Nonlinear Fractional Differential Equations Using Spline Functions. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-471293
Modern Language Association (MLA)
al-Rabtah, Adel…[et al.]. Solving Linear and Nonlinear Fractional Differential Equations Using Spline Functions. Abstract and Applied Analysis No. 2012 (2012), pp.1-9.
https://search.emarefa.net/detail/BIM-471293
American Medical Association (AMA)
al-Rabtah, Adel& Momani, Shaher& Ramadan, Mohamed A.. Solving Linear and Nonlinear Fractional Differential Equations Using Spline Functions. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-471293
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-471293