Article
System Analysis of HIV Infection Model with CD4+T under Non-Singular Kernel Derivative
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Abstract
Infectious diseases have caused the death of many people throughout the world for centuries. For this purpose, many researchers have investigated these diseases for establishing new treatment and protective measures. The most important of these is HIV disease. In this study, an HIV infection model of CD4+T cells is handled comprehensively with the newly defined Atangana-Baleanu (AB) fractional derivative. The existence and uniqueness of the solutions for fractionalized HIV disease model with the new derivative by considering the Arzela-Ascoli theorem.
Keywords
Atangana-Baleanu (AB) derivative, HIV infection model, Arzela-Ascoli theorem, existence and uniqueness, 34A08, 47H10, 34A34
Citation
Evirgen, F., Uçar, S., & Özdemir, N. (2020). System analysis of HIV infection model with CD4+T under non-singular kernel derivative. Applied Mathematics and Nonlinear Sciences, 5(1), 139–146. https://doi.org/10.2478/amns.2020.1.00013
F. Evirgen, S. Uçar and N. Özdemir, “System analysis of HIV infection model with CD4+T under non-singular kernel derivative,” Applied Mathematics and Nonlinear Sciences, vol. 5, no. 1, pp. 139–146, 2020, doi: 10.2478/amns.2020.1.00013.
Evirgen F, Uçar S, Özdemir N. System analysis of HIV infection model with CD4+T under non-singular kernel derivative. Applied Mathematics and Nonlinear Sciences. 2020;5(1):139–146. doi:10.2478/amns.2020.1.00013.
Evirgen, F., Uçar, S. and Özdemir, N. (2020), ‘System analysis of HIV infection model with CD4+T under non-singular kernel derivative’, Applied Mathematics and Nonlinear Sciences, 5(1), pp. 139–146. Available at: https://doi.org/10.2478/amns.2020.1.00013.
Evirgen, Fırat, et al. “System Analysis of HIV Infection Model with CD4+T Under Non-singular Kernel Derivative.” Applied Mathematics and Nonlinear Sciences, vol. 5, no. 1, 2020, pp. 139–146. https://doi.org/10.2478/amns.2020.1.00013.
Evirgen, Fırat, Sümeyra Uçar, and Necati Özdemir. “System Analysis of HIV Infection Model with CD4+T Under Non-singular Kernel Derivative.” Applied Mathematics and Nonlinear Sciences 5, no. 1 (2020): 139–146. https://doi.org/10.2478/amns.2020.1.00013.
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