New fractional calculus and application to the fractional-order of extended biological population model

New fractional calculus and application to the fractional-order of extended biological population model

In this study, we propose a new algorithm to find exact solitary wave solutions of nonlinear time- fractional order of extended biological population model. The new algorithm basically illustrates how two powerful algorithms, conformable fractional derivative and the homogeneous balance method can b...

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Bibliographic Details
Main Author: Ahmad Neirameh
Format: Article
Language:English
Published: Sociedade Brasileira de Matemática 2018-07-01
Series:Boletim da Sociedade Paranaense de Matemática
Subjects:
fractional derivative
exact solution
biological population model
Online Access:http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/32034
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spelling doaj-e1656730f3ff440892abc8a79631ae2d2020-11-24T22:48:00ZengSociedade Brasileira de MatemáticaBoletim da Sociedade Paranaense de Matemática0037-87122175-11882018-07-0136311512810.5269/bspm.v36i3.3203415676New fractional calculus and application to the fractional-order of extended biological population modelAhmad Neirameh0Gonbad Kavous UniversityIn this study, we propose a new algorithm to find exact solitary wave solutions of nonlinear time- fractional order of extended biological population model. The new algorithm basically illustrates how two powerful algorithms, conformable fractional derivative and the homogeneous balance method can be combined and used to get exact solutions of fractional partial differential equations.http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/32034fractional derivativeexact solutionbiological population model
collection DOAJ
language English
format Article
sources DOAJ
author Ahmad Neirameh
spellingShingle Ahmad Neirameh
New fractional calculus and application to the fractional-order of extended biological population model
Boletim da Sociedade Paranaense de Matemática
fractional derivative
exact solution
biological population model
author_facet Ahmad Neirameh
author_sort Ahmad Neirameh
title New fractional calculus and application to the fractional-order of extended biological population model
title_short New fractional calculus and application to the fractional-order of extended biological population model
title_full New fractional calculus and application to the fractional-order of extended biological population model
title_fullStr New fractional calculus and application to the fractional-order of extended biological population model
title_full_unstemmed New fractional calculus and application to the fractional-order of extended biological population model
title_sort new fractional calculus and application to the fractional-order of extended biological population model
publisher Sociedade Brasileira de Matemática
series Boletim da Sociedade Paranaense de Matemática
issn 0037-8712
2175-1188
publishDate 2018-07-01
description In this study, we propose a new algorithm to find exact solitary wave solutions of nonlinear time- fractional order of extended biological population model. The new algorithm basically illustrates how two powerful algorithms, conformable fractional derivative and the homogeneous balance method can be combined and used to get exact solutions of fractional partial differential equations.
topic fractional derivative
exact solution
biological population model
url http://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/32034
work_keys_str_mv AT ahmadneirameh newfractionalcalculusandapplicationtothefractionalorderofextendedbiologicalpopulationmodel
_version_ 1725680107447648256

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