Geometrical study and solutions for family of burgers-like equation with fractional order space time

One of the basic hydrodynamic models is the famous Burgers formula. This describes the creation of the sticky particle velocity field which interacts only when it collides. In the present paper, we are going to give a systematic formulation of a new family of Burgers-like equations with fractional space-time order. Exact solutions are constructed by using the direct method. A geometrical study for the fractional space is presented and applied to the obtained solutions. The present solutions are the same as the integer one and revealed that the arbitrariness of fraction orders makes systems even richer. (C) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering,

Automated summary

This paper presents a systematic formulation of a new family of Burgers-like equations with fractional space-time order, constructing exact solutions using the direct method. A geometrical study for the fractional space is applied to the obtained solutions, revealing that the arbitrariness of fraction orders makes systems even richer.