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Differential Transform Method with Complex Transforms to Some Nonlinear Fractional Problems in Mathematical Physics
Joint Authors
Ahmad, Jamshad
Awan, Farah Jabeen
Mohyud-Din, Syed Tauseef
Hassan, Saleh M.
Source
Mathematical Problems in Engineering
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-12-06
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper witnesses the coupling of an analytical series expansion method which is called reduced differential transform with fractional complex transform.
The proposed technique is applied on three mathematical models, namely, fractional Kaup-Kupershmidt equation, generalized fractional Drinfeld-Sokolov equations, and system of coupled fractional Sine-Gordon equations subject to the appropriate initial conditions which arise frequently in mathematical physics.
The derivatives are defined in Jumarie’s sense.
The accuracy, efficiency, and convergence of the proposed technique are demonstrated through the numerical examples.
It is observed that the presented coupling is an alternative approach to overcome the demerit of complex calculation of fractional differential equations.
The proposed technique is independent of complexities arising in the calculation of Lagrange multipliers, Adomian’s polynomials, linearization, discretization, perturbation, and unrealistic assumptions and hence gives the solution in the form of convergent power series with elegantly computed components.
All the examples show that the proposed combination is a powerful mathematical tool to solve other nonlinear equations also.
American Psychological Association (APA)
Mohyud-Din, Syed Tauseef& Awan, Farah Jabeen& Ahmad, Jamshad& Hassan, Saleh M.. 2015. Differential Transform Method with Complex Transforms to Some Nonlinear Fractional Problems in Mathematical Physics. Mathematical Problems in Engineering،Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1073609
Modern Language Association (MLA)
Mohyud-Din, Syed Tauseef…[et al.]. Differential Transform Method with Complex Transforms to Some Nonlinear Fractional Problems in Mathematical Physics. Mathematical Problems in Engineering No. 2015 (2015), pp.1-9.
https://search.emarefa.net/detail/BIM-1073609
American Medical Association (AMA)
Mohyud-Din, Syed Tauseef& Awan, Farah Jabeen& Ahmad, Jamshad& Hassan, Saleh M.. Differential Transform Method with Complex Transforms to Some Nonlinear Fractional Problems in Mathematical Physics. Mathematical Problems in Engineering. 2015. Vol. 2015, no. 2015, pp.1-9.
https://search.emarefa.net/detail/BIM-1073609
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1073609