Browsing by Author "Bonyah, Ebenezer"

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Citation Count: Bonyah, Ebenezer...et al. (2020). "A robust study on the listeriosis disease by adopting fractal-fractional operators", Alexandria Engineering Journal, Vol. 61, No. 3, pp. 2016-2028.
A robust study on the listeriosis disease by adopting fractal-fractional operators
(2020) Bonyah, Ebenezer; Yavuz, Mehmet; Baleanu, Dumitru; Kumar, Sunil; 56389
Listeriosis is one of the zoonotic diseases affecting most parts of the Sub-Saharan countries. The infection is often transmitted by eating and it can also pass by respiratory and direct contact. In this paper, a listeriosis mathematical model is formulated involving fractal-fractional orders in both Caputo and Atangana-Baleanu derivatives. Moreover, future behaviors of the disease are investigated by considering the fractal-fractional operators that are very effective in modeling the real-life phenomena by virtue of their memory effect. The basic properties and steady states are also obtained. The threshold parameter for determining the spread of the disease is computed. Numerical results are presented for each fractal-fractional-order operator. The results obtained in the paper show that the numerical schemes are effective for predicting and analyzing complex phenomena. (C) 2019 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University.
Citation Count: Baleanu, Dumitru...et al. (2018). New aspects of poor nutrition in the life cycle within the fractional calculus, Advances in Difference Equations.
New aspects of poor nutrition in the life cycle within the fractional calculus
(Springer Open, 2018) Baleanu, Dumitru; Jajarmi, Amin; Bonyah, Ebenezer; Hajipour, Mojtaba; 56389
The nutrition of pregnant women is crucial for giving birth to a healthy baby and even for the health status of a nursing mother. In this paper, the poor nutrition in the life cycle of humans is explored in the fractional sense. The proposed model is examined via the Caputo fractional operator and a new one with Mittag-Leffler (ML) nonsingular kernel. The stability analysis as well as the existence and uniqueness of the solution are investigated, and an efficient numerical scheme is also designed for the approximate solution. Comparative numerical analysis of these two operators reveals that the model based on the new fractional derivative with ML kernel has a different asymptotic behavior to the classic Caputo. Thus, the new aspects of fractional calculus provide more flexible models which help us to adjust the dynamical behaviors of the real-world phenomena better.