Title of article :
Lie Symmetry Analysis method to first-order M-fractional differential equations
Author/Authors :
Ilie ، Mousa Department of Mathematics - Islamic Azad University, Rasht Branch , Khoshkenar ، Ali Department of Mathematics - Islamic Azad University, Rasht Branch
Abstract :
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 Mfractional 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
Journal title :
Computational Sciences and Engineering
Journal title :
Computational Sciences and Engineering