Exploring the Analytical Solutions to the Economical Model via Three Different Methods

In this article, the analytical solutions of economically important model named as the Ivancevic option pricing model (IOPM) along new definition of derivative have been explored. For this purpose, expa function, extended sinh-Gordon equation expansion (EShGEE) and extended G′/G-expansion methods ha...

Full description

Saved in:
Bibliographic Details
Main Authors: M. Raheel, Khalid K. Ali, Asim Zafar, Ahmet Bekir, Omar Abu Arqub, Marwan Abukhaled
Format: Article
Language:English
Published: Wiley 2023-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2023/1416097
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1832547921062526976
author M. Raheel
Khalid K. Ali
Asim Zafar
Ahmet Bekir
Omar Abu Arqub
Marwan Abukhaled
author_facet M. Raheel
Khalid K. Ali
Asim Zafar
Ahmet Bekir
Omar Abu Arqub
Marwan Abukhaled
author_sort M. Raheel
collection DOAJ
description In this article, the analytical solutions of economically important model named as the Ivancevic option pricing model (IOPM) along new definition of derivative have been explored. For this purpose, expa function, extended sinh-Gordon equation expansion (EShGEE) and extended G′/G-expansion methods have been utilized. The resulting solutions are dark, bright, dark-bright, periodic, singular, and other kinds of solutions. These solutions are obtained and also verified by a Mathematica tool. Some of the gained results are explained by 2-D, 3-D, and contour plots.
format Article
id doaj-art-6728e8df6cc7489086b13e7a56027f8f
institution Kabale University
issn 2314-4785
language English
publishDate 2023-01-01
publisher Wiley
record_format Article
series Journal of Mathematics
spelling doaj-art-6728e8df6cc7489086b13e7a56027f8f2025-02-03T06:42:48ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/1416097Exploring the Analytical Solutions to the Economical Model via Three Different MethodsM. Raheel0Khalid K. Ali1Asim Zafar2Ahmet Bekir3Omar Abu Arqub4Marwan Abukhaled5Department of Mathematics and StatisticsMathematics DepartmentDepartment of MathematicsNeighbourhood of AkcaglanDepartment of MathematicsDepartment of Mathematics and StatisticsIn this article, the analytical solutions of economically important model named as the Ivancevic option pricing model (IOPM) along new definition of derivative have been explored. For this purpose, expa function, extended sinh-Gordon equation expansion (EShGEE) and extended G′/G-expansion methods have been utilized. The resulting solutions are dark, bright, dark-bright, periodic, singular, and other kinds of solutions. These solutions are obtained and also verified by a Mathematica tool. Some of the gained results are explained by 2-D, 3-D, and contour plots.http://dx.doi.org/10.1155/2023/1416097
spellingShingle M. Raheel
Khalid K. Ali
Asim Zafar
Ahmet Bekir
Omar Abu Arqub
Marwan Abukhaled
Exploring the Analytical Solutions to the Economical Model via Three Different Methods
Journal of Mathematics
title Exploring the Analytical Solutions to the Economical Model via Three Different Methods
title_full Exploring the Analytical Solutions to the Economical Model via Three Different Methods
title_fullStr Exploring the Analytical Solutions to the Economical Model via Three Different Methods
title_full_unstemmed Exploring the Analytical Solutions to the Economical Model via Three Different Methods
title_short Exploring the Analytical Solutions to the Economical Model via Three Different Methods
title_sort exploring the analytical solutions to the economical model via three different methods
url http://dx.doi.org/10.1155/2023/1416097
work_keys_str_mv AT mraheel exploringtheanalyticalsolutionstotheeconomicalmodelviathreedifferentmethods
AT khalidkali exploringtheanalyticalsolutionstotheeconomicalmodelviathreedifferentmethods
AT asimzafar exploringtheanalyticalsolutionstotheeconomicalmodelviathreedifferentmethods
AT ahmetbekir exploringtheanalyticalsolutionstotheeconomicalmodelviathreedifferentmethods
AT omarabuarqub exploringtheanalyticalsolutionstotheeconomicalmodelviathreedifferentmethods
AT marwanabukhaled exploringtheanalyticalsolutionstotheeconomicalmodelviathreedifferentmethods