$On beta-time fractional biological population model with abundant solitary wave structures$
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On beta-time fractional biological population model with abundant solitary wave structures

The ongoing study deals with various forms of solutions for the biological population model with a novel beta-time derivative operators. This model is very conducive to explain the enlargement of viruses, parasites and diseases. This configuration of the aforesaid classical scheme is scouted for its...

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Autores principales:	Kottakkaran Sooppy Nisar, Armando Ciancio, Khalid K. Ali, M.S. Osman, Carlo Cattani, Dumitru Baleanu, Asim Zafar, M. Raheel, M. Azeem
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2022
Materias:	Biological population model Novel derivative operator Solitons Finite difference method Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/89f015a9d9cd43218c7eea564fce7133
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id	oai:doaj.org-article:89f015a9d9cd43218c7eea564fce7133
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spelling	oai:doaj.org-article:89f015a9d9cd43218c7eea564fce71332021-11-30T04:13:51ZOn beta-time fractional biological population model with abundant solitary wave structures1110-016810.1016/j.aej.2021.06.106https://doaj.org/article/89f015a9d9cd43218c7eea564fce71332022-03-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S1110016821004968https://doaj.org/toc/1110-0168The ongoing study deals with various forms of solutions for the biological population model with a novel beta-time derivative operators. This model is very conducive to explain the enlargement of viruses, parasites and diseases. This configuration of the aforesaid classical scheme is scouted for its new solutions especially in soliton shape via two of the well known analytical strategies, namely: the extended Sinh-Gordon equation expansion method (EShGEEM) and the Expa function method. These soliton solutions suggest that these methods have widened the scope for generating solitary waves and other solutions of fractional differential equations. Different types of soliton solutions will be gained such as dark, bright and singular solitons solutions with certain conditions. Furthermore, the obtained results can also be used in describing the biological population model in some better way. The numerical solution for the model is obtained using the finite difference method. The numerical simulations of some selected results are also given through their physical explanations. To the best of our knowledge, No previous literature discussed this model through the application of the EShGEEM and the Expa function method and supported their new obtained results by numerical analysis.Kottakkaran Sooppy NisarArmando CiancioKhalid K. AliM.S. OsmanCarlo CattaniDumitru BaleanuAsim ZafarM. RaheelM. AzeemElsevierarticleBiological population modelNovel derivative operatorSolitonsFinite difference methodEngineering (General). Civil engineering (General)TA1-2040ENAlexandria Engineering Journal, Vol 61, Iss 3, Pp 1996-2008 (2022)
institution	DOAJ
collection	DOAJ
language	EN
topic	Biological population model Novel derivative operator Solitons Finite difference method Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Biological population model Novel derivative operator Solitons Finite difference method Engineering (General). Civil engineering (General) TA1-2040 Kottakkaran Sooppy Nisar Armando Ciancio Khalid K. Ali M.S. Osman Carlo Cattani Dumitru Baleanu Asim Zafar M. Raheel M. Azeem On beta-time fractional biological population model with abundant solitary wave structures
description	The ongoing study deals with various forms of solutions for the biological population model with a novel beta-time derivative operators. This model is very conducive to explain the enlargement of viruses, parasites and diseases. This configuration of the aforesaid classical scheme is scouted for its new solutions especially in soliton shape via two of the well known analytical strategies, namely: the extended Sinh-Gordon equation expansion method (EShGEEM) and the Expa function method. These soliton solutions suggest that these methods have widened the scope for generating solitary waves and other solutions of fractional differential equations. Different types of soliton solutions will be gained such as dark, bright and singular solitons solutions with certain conditions. Furthermore, the obtained results can also be used in describing the biological population model in some better way. The numerical solution for the model is obtained using the finite difference method. The numerical simulations of some selected results are also given through their physical explanations. To the best of our knowledge, No previous literature discussed this model through the application of the EShGEEM and the Expa function method and supported their new obtained results by numerical analysis.
format	article
author	Kottakkaran Sooppy Nisar Armando Ciancio Khalid K. Ali M.S. Osman Carlo Cattani Dumitru Baleanu Asim Zafar M. Raheel M. Azeem
author_facet	Kottakkaran Sooppy Nisar Armando Ciancio Khalid K. Ali M.S. Osman Carlo Cattani Dumitru Baleanu Asim Zafar M. Raheel M. Azeem
author_sort	Kottakkaran Sooppy Nisar
title	On beta-time fractional biological population model with abundant solitary wave structures
title_short	On beta-time fractional biological population model with abundant solitary wave structures
title_full	On beta-time fractional biological population model with abundant solitary wave structures
title_fullStr	On beta-time fractional biological population model with abundant solitary wave structures
title_full_unstemmed	On beta-time fractional biological population model with abundant solitary wave structures
title_sort	on beta-time fractional biological population model with abundant solitary wave structures
publisher	Elsevier
publishDate	2022
url	https://doaj.org/article/89f015a9d9cd43218c7eea564fce7133
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On beta-time fractional biological population model with abundant solitary wave structures

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