Affiliation:
1. Balıkesir University , Department of Mathematics , Balıkesir , Turkey
Abstract
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.
Subject
Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science
Reference28 articles.
1. Şuayip Yüzbaşı, (2016), An exponential collocation method for the solutions of the HIV infection model of CD4+ T cells, International Journal of Biomathematics, Vol:9, No:3, 1650036.
2. Şuayip Yüzbaşı, Murat Karaçayır, (2017), An exponential Galerkin method for solutions of HIV infection model of CD4+ T-cells, Computational Biology and Chemistry, Vol:67, 205–212.
3. Swarnali Sharma, G.P. Samanta, (2016), Analysis of the dynamics of a tumor immune system with chemotherapy and immunotherapy and quadratic optimal control, Differential Equations and Dynamical Systems, Vol:24, No:2, 149–171.
4. K.B. Oldham, J. Spanier, (1974), The Fractional Calculus. New York: Academic Press.
5. A.A. Kilbas, H.M. Srivastava, Juan J. Trujillo, (2006), Theory and applications of fractional differential equations, Amsterdam: Elsevier.
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