New approach for the model describing the deathly disease in pregnant women using Mittag-Leffler function

Wei Gao, P. Veeresha, D.G. Prakasha, Haci Mehmet Baskonus and Gulnur Yel

Chaos, Solitons & Fractals, 2020, vol. 134, issue C

Abstract: In this paper, numerical solution of the mathematical model describing the deathly disease in pregnant women with fractional order is investigated with the help of q-homotopy analysis transform method (q-HATM). This sophisticated and important model is consisted of a system of four equations, which illustrate a deathly disease spreading pregnant women called Lassa hemorrhagic fever disease. The fixed point theorem is considered so as to demonstrate the existence and uniqueness of the obtained numerical solution for the governing fractional model. The proposed method is also included the Laplace transform technique with q-homotopy analysis scheme, and fractional derivative defined with Atangana-Baleanu (AB) operator. In order to illustrate and validate the efficiency of the future technique, the projected model in the sense of fractional order is also considered. Moreover, the physical behaviors of the obtained numerical results are presented in terms of simulations for diverse fractional order.

Keywords: Laplace transform; Atangana-Baleanu derivative; Lassa hemorrhagic fever q-Homotopy analysis method; Fixed point theorem (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (11)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:134:y:2020:i:c:s0960077920300989

DOI: 10.1016/j.chaos.2020.109696

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