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Neural Computing and Applications
Published in: Neural Computing and Applications 2/2013

01-08-2013 | Original Article

A novel solution procedure for fuzzy fractional heat equations by homotopy analysis transform method

Authors: Ahmed Salah, Majid Khan, Muhammad Asif Gondal

Published in: Neural Computing and Applications | Issue 2/2013

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Abstract

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Literature
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Goetshel R, Voxman W (1986) Elementary fuzzy calculus. Fuzzy Sets Syst 18:31–43CrossRef
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Allahviranloo T, Ahmadya N, Ahmady E (2007) Numerical solution of fuzzy differential equations by predictor corrector method. Inf Sci 177:1633–1647MATHCrossRef
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Babolian E, Sadeghi H, Javadi Sh (2004) Numerically solution of fuzzy differential equations by Adomian method. Appl Math Comput 149:547–557MathSciNetMATHCrossRef
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Akbarzadeh Ghanaie Z, Mohseni Moghadam M (2011) Solving fuzzy differential equations by Runge-Kutta method. J Math Comput Sci 2:208–221
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Abbasbandy S, Babolian E, Alavi M (2007) Numerical method for solving linear Fredholm fuzzy integral equations of the second kind. Chaos Solitons Fractals 31:138–146MathSciNetMATHCrossRef
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Hashemi MS, Mirnia MK, Shahmorad S (2008) Solving fuzzy linear systems by using the Schur complement when coefficient matrix is an M-matrix. Iran J Fuzzy Syst 5:15–29MathSciNetMATH
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Song L, Zhang H (2007) Application of homotopy analysis method to fractional KdV, Burgers–Kuramoto equation. Phys Lett 367(1–2):88–94
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Khan M, Gondal MA (2011) An efficient two step Laplace decomposition algorithm for singular Volterra integral equations. Int J Phys Sci 6:4717–4720CrossRef
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Khan M, Gondal MA (2011) A new analytical approach to solve Thomas-Fermi equation. World Appl Sci J 12:2309–2313
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Khan M, Gondal MA, Kumar S (2011) A novel homotopy perturbation transform algorithm for linear and nonlinear system of partial differential equations. World Appl Sci J 12:2352–2357
Metadata
Title
A novel solution procedure for fuzzy fractional heat equations by homotopy analysis transform method
Authors
Ahmed Salah
Majid Khan
Muhammad Asif Gondal
Publication date
01-08-2013
Publisher
Springer London
Published in
Neural Computing and Applications / Issue 2/2013
Print ISSN: 0941-0643
Electronic ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-012-0855-z

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