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Analytical Method Based on Walsh Function Combined With Orthogonal Polynomial for Fractional Transport Equation

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Date

2010

Journal Title

Journal ISSN

Volume Title

Publisher

Elsevier Science Bv

Open Access Color

Green Open Access

No

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Publicly Funded

No
Impulse
Top 10%
Influence
Top 10%
Popularity
Top 10%

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Abstract

In this paper a novel method based on Walsh function combined with a Chebyshev polynomials of the first kind was applied for the resolution of fractional transport equation in three-dimensions. A specific application of the method is discussed. (C) 2009 Elsevier B.V. All rights reserved.

Description

Keywords

Fractional Calculus, Walsh Function, Fractional Transport Equation, Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.), Integro-ordinary differential equations, Walsh function, Fractional derivatives and integrals, Nuclear reactor theory; neutron transport, fractional transport equation, fractional calculus

Fields of Science

0209 industrial biotechnology, 02 engineering and technology, 0101 mathematics, 01 natural sciences

Citation

Kadem, A., Baleanu, D. (2010). Analytical method based on Walsh function combined with orthogonal polynomial for fractional transport equation. Communications In Nonlinear Science And Numerical Simulation, 15(3), 491-501. http://dx.doi.org/10.1016/j.cnsns.2009.05.024

WoS Q

Q1

Scopus Q

Q1
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OpenCitations Citation Count
20

Source

Communications in Nonlinear Science and Numerical Simulation

Volume

15

Issue

3

Start Page

491

End Page

501
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Citations

CrossRef : 13

Scopus : 32

Captures

Mendeley Readers : 8

SCOPUS™ Citations

33

checked on Feb 24, 2026

Web of Science™ Citations

27

checked on Feb 24, 2026

Page Views

3

checked on Feb 24, 2026

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2.02295552

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