A sustainable method for analyzing and studying the fractional-order panic spreading caused by the COVID-19 pandemic
This study gives us an expression of non-integer order in mathematics via fractional Caputo operator just for the broadcast development of different emotions under emergencies due to any situation or some disease. In this work, we fear the effects of COVID-19 in panic situations, considering inciden...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-03-01
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| Series: | Partial Differential Equations in Applied Mathematics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666818124004339 |
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| author | Muhammad Farman Evern Hincal Parvaiz Ahmad Naik Ali Hasan Aceng Sambas Kottakkaran Sooppy Nisar |
| author_facet | Muhammad Farman Evern Hincal Parvaiz Ahmad Naik Ali Hasan Aceng Sambas Kottakkaran Sooppy Nisar |
| author_sort | Muhammad Farman |
| collection | DOAJ |
| description | This study gives us an expression of non-integer order in mathematics via fractional Caputo operator just for the broadcast development of different emotions under emergencies due to any situation or some disease. In this work, we fear the effects of COVID-19 in panic situations, considering incidence data by using power law kernels under a fractal fractional operator. The effects of the emotion that causes COVID-19 are also evaluated locally and globally using stability. Based on the fractional order model of COVID-19 viral infection, equilibrium points devoid of illness, well-posedness, uniqueness, and biological viability of solutions are all demonstrated. The effects of the COVID-19 model’s sensitivity analysis with treatment were also investigated. Unique solution and Picards stability of iterative scheme verified by using the fixed point theory concept. To discover the solution of the fractional order system and evaluate the effect of fractional parameters, an advanced numerical approach is applied. In the simulation, all classes are shown to have convergent properties and to hold their positions over time, which accurately depicts how COVID-19 infection behaves in practice. We find a more comparable outcome when comparing non-integer orders to integer orders, which supports the non-integer order’s position. This model’s tools seem to be reasonably strong and capable of creating the predicted theoretical conditions for the problem. |
| format | Article |
| id | doaj-art-3b68ed9b0e4840d1b29c94ab7f19ee49 |
| institution | Kabale University |
| issn | 2666-8181 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Partial Differential Equations in Applied Mathematics |
| spelling | doaj-art-3b68ed9b0e4840d1b29c94ab7f19ee492025-01-06T04:09:06ZengElsevierPartial Differential Equations in Applied Mathematics2666-81812025-03-0113101047A sustainable method for analyzing and studying the fractional-order panic spreading caused by the COVID-19 pandemicMuhammad Farman0Evern Hincal1Parvaiz Ahmad Naik2Ali Hasan3Aceng Sambas4Kottakkaran Sooppy Nisar5Faculty of Arts and Sciences, Department of Mathematics, Near East University, PC: 99138, Nicosia/Mersin 10, Turkey; Faculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Campus Besut, 22200 Terengganu, Malaysia; Mathematical Research Center, Near East University, PC: 99138, Nicosia/Mersin 10, TurkeyFaculty of Arts and Sciences, Department of Mathematics, Near East University, PC: 99138, Nicosia/Mersin 10, TurkeyDepartment of Mathematics and Computer Science, Youjiang Medical University for Nationalities, Baise 533000, Guangxi, China; Corresponding author.Department of Mathematics and Statistics, The University of Lahore, Lahore 54590, PakistanFaculty of Informatics and Computing, Universiti Sultan Zainal Abidin, Campus Besut, 22200 Terengganu, Malaysia; Department of Mechanical Engineering, Universitas Muhammadiyah Tasikmalaya, Tamansari Gobras 46196 Tasikmalaya, IndonesiaDepartment of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz University, Alkharj 11942, Saudi Arabia; Saveetha School of Engineering, SIMATS, Chennai IndiaThis study gives us an expression of non-integer order in mathematics via fractional Caputo operator just for the broadcast development of different emotions under emergencies due to any situation or some disease. In this work, we fear the effects of COVID-19 in panic situations, considering incidence data by using power law kernels under a fractal fractional operator. The effects of the emotion that causes COVID-19 are also evaluated locally and globally using stability. Based on the fractional order model of COVID-19 viral infection, equilibrium points devoid of illness, well-posedness, uniqueness, and biological viability of solutions are all demonstrated. The effects of the COVID-19 model’s sensitivity analysis with treatment were also investigated. Unique solution and Picards stability of iterative scheme verified by using the fixed point theory concept. To discover the solution of the fractional order system and evaluate the effect of fractional parameters, an advanced numerical approach is applied. In the simulation, all classes are shown to have convergent properties and to hold their positions over time, which accurately depicts how COVID-19 infection behaves in practice. We find a more comparable outcome when comparing non-integer orders to integer orders, which supports the non-integer order’s position. This model’s tools seem to be reasonably strong and capable of creating the predicted theoretical conditions for the problem.http://www.sciencedirect.com/science/article/pii/S2666818124004339Emotion modelPower law kernelPicards stabilityUnique solutionFixed pointLagrange polynomial |
| spellingShingle | Muhammad Farman Evern Hincal Parvaiz Ahmad Naik Ali Hasan Aceng Sambas Kottakkaran Sooppy Nisar A sustainable method for analyzing and studying the fractional-order panic spreading caused by the COVID-19 pandemic Partial Differential Equations in Applied Mathematics Emotion model Power law kernel Picards stability Unique solution Fixed point Lagrange polynomial |
| title | A sustainable method for analyzing and studying the fractional-order panic spreading caused by the COVID-19 pandemic |
| title_full | A sustainable method for analyzing and studying the fractional-order panic spreading caused by the COVID-19 pandemic |
| title_fullStr | A sustainable method for analyzing and studying the fractional-order panic spreading caused by the COVID-19 pandemic |
| title_full_unstemmed | A sustainable method for analyzing and studying the fractional-order panic spreading caused by the COVID-19 pandemic |
| title_short | A sustainable method for analyzing and studying the fractional-order panic spreading caused by the COVID-19 pandemic |
| title_sort | sustainable method for analyzing and studying the fractional order panic spreading caused by the covid 19 pandemic |
| topic | Emotion model Power law kernel Picards stability Unique solution Fixed point Lagrange polynomial |
| url | http://www.sciencedirect.com/science/article/pii/S2666818124004339 |
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