Symbolic computations for exact solutions of fractional partial differential equations with reaction term

Abstract

The most popular fields of interdisciplinary studies for real-world applications, such as population growth dynamics, diffusion–reaction, and Duffing models, are concerned with conformable fractional derivatives and reaction terms. Their exact solutions are obtained via two different symbolic computation techniques, which are known as the Bernoulli approximation method and the trial solution method. The results are discussed for different orders of fractional derivatives. The obtained results for the corresponding models including reaction terms are illustrated in detail. © 2024 Elsevier Inc. All rights reserved.