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

By Kamal Shah, Manar A. Alqudah, Fahd Jarad, Thabet Abdeljawad. 2020

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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.

Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/5283d9ca16b23c0a18801d40a829a665e057b54d