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Analysis of HIV/AIDS model with Mittag-Leffler kernel

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Date

2022

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Amer inst Mathematical Sciences-aims

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Matematik
Bölümümüz, bilim ve sanayi için gerekli modern bilgilere sahip iş gücünü üretmeyi hedeflemektedir.

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Abstract

Recently different definitions of fractional derivatives are proposed for the development of real-world systems and mathematical models. In this paper, our main concern is to develop and analyze the effective numerical method for fractional order HIV/ AIDS model which is advanced approach for such biological models. With the help of an effective techniques and Sumudu transform, some new results are developed. Fractional order HIV/AIDS model is analyzed. Analysis for proposed model is new which will be helpful to understand the outbreak of HIV/AIDS in a community and will be helpful for future analysis to overcome the effect of HIV/AIDS. Novel numerical procedures are used for graphical results and their discussion.

Description

Saleem, Prof. Dr. Muhammad Umer/0000-0002-2263-3373; Farman, Dr. Muhamamd/0000-0001-7616-0500

Keywords

Sumudu Transform, Uniqueness, Stability Analysis, Fixed-Point Theorem

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Citation

Akram, Muhammad Mannan;...et.al. (2022). "Analysis of HIV/AIDS model with Mittag-Leffler kernel", AIMS Mathematics, Vol.7, No.7, pp.13383-13401.

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Volume

7

Issue

7

Start Page

13383

End Page

13401