An efficient technique for generalized conformable Pochhammer-Chree models of longitudinal wave propagation of elastic rod

In this article, we introduce analytical-approximate solutions of time-fractional generalized Pochhammer-Chree equations for wave propagation of elastic rod by means of the q-homotopy analysis of the transform method (q-HATM). In the Caputo sense, basic concepts for fractional derivatives are defined. Several examples are given and the results are illustrated via some surface plots to present the physical representation. The results show that the current methodology is productive, powerful, efficient, easy to use, and ready to incorporate a wide variety of partial fractional differential equations.

Automated summary

In this article, analytical-approximate solutions for wave propagation equations are introduced using the q-homotopy analysis of the transform method. The basic concepts of fractional derivatives in the Caputo sense are defined, and the results are illustrated with examples and surface plots. The current methodology is shown to be productive, powerful, efficient, and capable of solving a wide range of partial fractional differential equations.