A New Analytical Technique To Solve System of Fractional-Order Partial Differential Equations
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Date
2019
Journal Title
Journal ISSN
Volume Title
Publisher
Ieee-inst Electrical Electronics Engineers inc
Open Access Color
GOLD
Green Open Access
No
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Publicly Funded
No
Abstract
In this research article, a new analytical technique is implemented to solve system of fractional-order partial differential equations. The fractional derivatives are carried out with the help of Caputo fractional derivative operator. The direct implementation of Mohand and its inverse transformation provide sufficient easy less and reliability of the proposed method. Decomposition method along with Mohand transformation is proceeded to attain the analytical solution of the targeted problems. The applicability of the suggested method is analyzed through illustrative examples. The solutions graph has the best contact with the graphs of exact solutions in paper. Moreover, the convergence of the present technique is sufficiently fast, so that it can be considered the best technique to solve system of nonlinear fractional-order partial differential equations.
Description
Kumam, Poom/0000-0002-5463-4581; Arif, Muhammad/0000-0003-1484-7643; Khan, Hassan/0000-0001-6417-1181
Keywords
Transforms, Partial Differential Equations, Integral Equations, 1, F Noise, Fractional Calculus, Solid Modeling, Mohand Transform, Adomian Decomposition, Analytical Solution, Fractional-Order System Of Partial Differential Equations, Caputo Derivatives, analytical solution, Adomian decomposition, Caputo derivatives, Mohand transform, Electrical engineering. Electronics. Nuclear engineering, fractional-order system of partial differential equations, TK1-9971
Turkish CoHE Thesis Center URL
Fields of Science
0103 physical sciences, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology, 01 natural sciences
Citation
Shah, Rasool...et al. (2019). "A New Analytical Technique to Solve System of Fractional-Order Partial Differential Equations", IEEE Access, Vol. 7.
WoS Q
Q2
Scopus Q
Q1

OpenCitations Citation Count
27
Source
IEEE Access
Volume
7
Issue
Start Page
150037
End Page
150050
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CrossRef : 10
Scopus : 36
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2.18131684
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17
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