Semi-analytical study of Pine Wilt Disease model with convex rate under Caputo–Febrizio fractional order derivative

Kamal Shah, Manar A. Alqudah, Fahd Jarad and Thabet Abdeljawad

Chaos, Solitons & Fractals, 2020, vol. 135, issue C

Abstract: In this paper, we present semi-analytical solution to Pine Wilt disease (PWD) model under the Caputo–Fabrizio fractional derivative (CFFD). For the proposed solution, we utilize Laplace transform coupled with Adomian decomposition method abbreviated as (LADM). The concerned method is a powerful tool to obtain semi-analytical solution for such type of nonlinear differential equations of fractional order (FODEs) involving non-singular kernel. Furthermore, we give some results for the existence of solution to the proposed model and present numerical results to verify the established analysis.

Keywords: Pine wood nematode; Caputo–Fabrizio derivative; Existence and uniqueness; LADM (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (22)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:135:y:2020:i:c:s0960077920301569

DOI: 10.1016/j.chaos.2020.109754

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