Recent Evolutions in Applied Sciences and Engineering organized by Chitkara University, Punjab, India

## SOLVING NONLINEAR COUPLED FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS BY ZZ TRANSFORM AND ADOMIAN POLYNOMIALS

#### Authors:

Amandeep Singh,Sarita Pippal,#### DOI:

https://doi.org/10.26782/jmcms.spl.11/2024.05.00001#### Abstract:

By combining the ZZ transform with Adomian polynomials, the semi-analytical solutions to nonlinear Caputo partial fractional differential equations have been derived in this work. The Caputo sense has been applied to the fractional derivative. Using the proposed method, several fractional partial differential equations have been resolved. When compared to other similar procedures, it has been shown that applying the ZZ transform and breaking down the nonlinear components using Adomian polynomials is quite convenient.#### Keywords:

ZZ Transform,Sumudu Transform,Adomian Polynomials,Caputo's system of Fractional Partial Differential Equations (FPDE),#### Refference:

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