Numerical Solution of Fractional Order Epidemic Mathematical Model on Dengue Using FDTM and FADM
R. S. Teppawar *
Department of Mathematics, N.E.S. Science College, Nanded - 431602, (MH), India.
A. D. Nagargoje
Department of Mathematics, N.E.S. Science College, Nanded - 431602, (MH), India.
*Author to whom correspondence should be addressed.
Abstract
In this article, we solve non-linear fractional order mathematical models on dengue using two alternative methods: FDTM (Fractional Differential Transform Method) and FADM (Fractional Adomian Decomposition Method). Additionally, for various fractional orders, the fractional model solution that is produced by FDTM is linked to the fractional model solution that is produced by FADM. Additionally, numerical and graphical analysis of the result is performed using Python software.
Keywords: Fractional derivative, fractional differential equation, fractional differential transform method, fractional adomian decomposition method, adomian polynomials