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

Ahmed Salah; Majid Khan; Muhammad Asif Gondal

doi:10.1007/s00521-012-0855-z

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

Ahmed Salah
, Majid Khan
, Muhammad Asif Gondal

Mansoura University
National University of Computer and Emerging Science

Research output: Contribution to journal › Article › peer-review

40 Scopus citations

Abstract

In this paper, we designed a reliable recipe of homotopy analysis method and Laplace decomposition method namely homotopy analysis transform method to solve fuzzy fractional heat and wave equations. This method overcomes the difficulties arise in other analytical method and removes the restrictive condition of nonlinearity and assumptions of small and large parameters.

Original language	English
Pages (from-to)	269-271
Number of pages	3
Journal	Neural Computing and Applications
Volume	23
Issue number	2
DOIs	https://doi.org/10.1007/s00521-012-0855-z
State	Published - Aug 2013
Externally published	Yes

Keywords

Fuzzy fractional heat and wave equations
Homotopy analysis method
Homotopy analysis transform method
Laplace decomposition method

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10.1007/s00521-012-0855-z

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@article{b8c63febe61d4822ba715ffaa4cad21c,

title = "A novel solution procedure for fuzzy fractional heat equations by homotopy analysis transform method",

abstract = "In this paper, we designed a reliable recipe of homotopy analysis method and Laplace decomposition method namely homotopy analysis transform method to solve fuzzy fractional heat and wave equations. This method overcomes the difficulties arise in other analytical method and removes the restrictive condition of nonlinearity and assumptions of small and large parameters.",

keywords = "Fuzzy fractional heat and wave equations, Homotopy analysis method, Homotopy analysis transform method, Laplace decomposition method",

author = "Ahmed Salah and Majid Khan and Gondal, \{Muhammad Asif\}",

year = "2013",

month = aug,

doi = "10.1007/s00521-012-0855-z",

language = "English",

volume = "23",

pages = "269--271",

journal = "Neural Computing and Applications",

issn = "0941-0643",

publisher = "Springer London",

number = "2",

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TY - JOUR

T1 - A novel solution procedure for fuzzy fractional heat equations by homotopy analysis transform method

AU - Salah, Ahmed

AU - Khan, Majid

AU - Gondal, Muhammad Asif

PY - 2013/8

Y1 - 2013/8

N2 - In this paper, we designed a reliable recipe of homotopy analysis method and Laplace decomposition method namely homotopy analysis transform method to solve fuzzy fractional heat and wave equations. This method overcomes the difficulties arise in other analytical method and removes the restrictive condition of nonlinearity and assumptions of small and large parameters.

AB - In this paper, we designed a reliable recipe of homotopy analysis method and Laplace decomposition method namely homotopy analysis transform method to solve fuzzy fractional heat and wave equations. This method overcomes the difficulties arise in other analytical method and removes the restrictive condition of nonlinearity and assumptions of small and large parameters.

KW - Fuzzy fractional heat and wave equations

KW - Homotopy analysis method

KW - Homotopy analysis transform method

KW - Laplace decomposition method

UR - https://www.scopus.com/pages/publications/84880729993

U2 - 10.1007/s00521-012-0855-z

DO - 10.1007/s00521-012-0855-z

M3 - Article

AN - SCOPUS:84880729993

SN - 0941-0643

VL - 23

SP - 269

EP - 271

JO - Neural Computing and Applications

JF - Neural Computing and Applications

IS - 2

ER -

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

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Keywords

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