New exact solitary wave solutions for fractional model

Abstract

This manuscript involves the new exact solitary wave solutions of fractional reaction-diffusion model using the exp (− φ(η))-expansion method. The spatial model of fractional form is applied in modeling super-diffusive systems in the field of engineering, biology, physics (neutron diffusion theory), ecology, finance, and chemistry. The findings of miscellaneous studies showed that presented method is efficient for exploring new exact solutions to solve the complexities arising in mathematical physics and applied sciences. The new solutions which are obtained in the form of the rational, exponential, hyperbolic and trigonometric functions have a wide range in physics and engineering fields. Several results would be obtained under various parameters which shows good agreement with the previous published results of different papers. The proposed method can be extended to solve further problems arising in the engineering fields. My main contribution is programming and comparisons.

Keywords

• reaction-diffusion equation
• exact solutions
• (−φ(η))-expansion technique
• exp caputo's derivative