Volume 06,Issue 04

Analytical Solution of Fractional Model of Pollution for a System Lakes

Authors

Ehtasham Ul Haq

Abstract
In this work, we will examine a fractional system of differential equations. This system is modelled for the contamination of an arrangement of lakes. We have to find the analytic results of this model by utilizing analytical method familiar as Variation of Parameters method (VPM).This technique reduces the computational work and converges to its solution by removing noise terms. These terms frequently occur in an iteration process of some techniques. To manage a fractional expression, we are coupling Riemann-Liouville fractional integral. We will also analyze our outcomes with some other familiar analytical methods like Variation of iteration technique, Adomian decomposition technique and Daftardar-Jafari technique to examine the ability of our applied approach.

Keyword: System of ODE, Variation of parameters metod, Adomian decomposition method, Daftardar-Jaffari method, Residual error.

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