Matematik Bölümü Yayın Koleksiyonu

Permanent URI for this collectionhttps://hdl.handle.net/20.500.12416/413

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Scopus Q: search.filters.scopusQuartile.Q4Subject: search.filters.subject.Existence And Uniqueness

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  • Article
    Citation - WoS: 7
    Analysis O a Caputo Hiv and Malaria Co-Infection Epidemic Model
    (Chiang Mai Univ, Fac Science, 2021) Ahmed, Idris; Jarad, Fahd; Yusuf, Abdullahi; Sani, Musbahu Aminu; Jarad, Fahd; Kumam, Wiyada; Thounthong, Phatiphat; Matematik
    In this paper, we investigate a fractional-order compartmental HIV and Malaria co-infection epidemic model using the Caputo derivative. The existence and uniqueness of the solution to the proposed fractional-order model were investigated using fixed point theorem techniques. To demonstrate that the proposed fractional-order model is both mathematically and epidemiologically well-posed, we compute the model's positivity and boundedness, which is an important feature in epidemiology. Finally, we analyze the dynamic behavior of each of the state variables using a recent and powerful computational technique known as the fractional Euler method.
  • Article
    Citation - Scopus: 55
    Nonlinear Delay Fractional Difference Equations With Applications on Discrete Fractional Lotka–volterra Competition Model
    (Eudoxus Press, LLC, 2018) Abdeljawad, Thabet; Alzabut, J.; Abdeljawad, T.; Baleanu, Dumitru; Baleanu, D.; Matematik
    The existence and uniqueness of solutions for nonlinear delay fractional difference equations are investigated in this paper. We prove the main results by employing the theorems of Krasnoselskii’s Fixed Point and Arzela–Ascoli. As an application of the main theorem, we provide an existence result on the discrete fractional Lotka–Volterra model. ©2018 by Eudoxus Press, LLC. All rights reserved.