• 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

  • From page
    67
  • To page
    77
  • 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
  • Record number

    2741387