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Description
This study employs the modified Extended Direct Algebraic Method (m-EDAM) to generate and assess propagating solutions for fractional partial differential equations (FPDE) via the first integral approach, which includes Caputo’s fractional derivatives. The increasing population sizes, reaction-diffusion processes, and mathematical biology are three areas of research in which FPDE is crucial across several academic fields. By employing these solutions to transform the FPDE into a nonlinear ordinary differential equation (NODE), the proposed m-EDAM identifies a substantial number of traveling singular solutions. These independent answers elucidate the propagation mechanisms of the FPDE model. Moreover, our work produced several state graphical representations that facilitate the identification and analysis of the propagation processes of the observed solid solutions, including shock and kink solidifying agents.
| Keywords | Solitons,Extended Direct Aigebric Method (m-EDAM), the FPDE Model,Caputo’s fractional derivative , Analytical Technique. |
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