Lie Symmetry Analysis method to first-order M-fractional differential equations

Finding analytical or numerical solutions of fractional differential equations is one of the bothersome and challenging issues among mathematicians and engineers, specifically in recent years. The objective of this paper is to solve linear and nonlinear fractional differential equations for instance first order linear fractional differential equation, Bernoulli, and Riccati fractional differential equations by using Lie Symmetry method, in accordance with M-fractional derivative. For each equation, some numerical examples are presented to illustrate the proposed approach.

Keywords:

Truncated M-fractional derivative , Nonlinear M-fractional differential equations , Lie Symmetry method , Bernoulli M-fractional differential equation , Riccati M-fractional differential equation