Abstract:
In many branches of science, such as population dynamics, ecology, and epidemic modeling, the
one-dimensional Fisher equation is very important. In this study, we recommend using the
conformable fractional reduced differential transform method (CFRDTM) to get approximate
analytical solutions for the one-dimensional Fisher equation. A strong mathematical method
known as the CFRDTM combines the benefits of the conformable fractional calculus and the
reduced differential transform method (RDTM). The conformable fractional calculus offers a more
accurate depiction of the underlying physical events while the RDTM makes it possible to convert
the original differential equation into a collection of algebraic equations. By employing the CFRDTM, we derive an approximate analytical solution for the one-dimensional Fisher equation. The
convergence of the approximate solutions are analyzed and compared with existing approximation
methods that exists in the literature. Furthermore, the proposed CFRDTM is validated through two
test examples. Overall, this research contributes to the development of efficient and accurate
analytical methods for obtaining approximate solutions to the one-dimensional Fisher equation and
related nonlinear partial differential equations
