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A New Analytical Technique To Solve System of Fractional-Order Partial Differential Equations

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Date

2019

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Publisher

Ieee-inst Electrical Electronics Engineers inc

Open Access Color

GOLD

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No

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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.

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Q2

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Q1
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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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Mendeley Readers : 14

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2.18131684

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17

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