Lie symmetry analysis for the solution of first-order linear and nonlinear fractional differential equations

  • Authors

    • Mousa Ilie Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran
    • Jafar Biazar Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Guilan, P.O.Box.41335-1914, Guilan, Rasht, Iran
    • Zainab Ayati Department of Engineering sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan, P.C. 44891-63157, Rudsar-Vajargah, Iran
    2018-04-01
    https://doi.org/10.14419/ijamr.v7i2.9694
  • Linear and Nonlinear Fractional Equations, Lie Symmetry Method, Conformable Fractional Derivative, Bernoulli Fractional Equation, Ric-cati Fractional Equation.

  • Abstract

    Obtaining analytical or numerical solution of fractional differential equations is one of the troublesome and challenging issues among mathematicians and engineers, specifically in recent years. The purpose of this paper is to solve linear and nonlinear fractional differential equations such as first order linear fractional equation, Bernoulli, and Riccati fractional equations by using Lie Symmetry method, based on conformable fractional derivative. For each equation, some numerical examples are presented to illustrate the proposed approach.  

  • References

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  • How to Cite

    Ilie, M., Biazar, J., & Ayati, Z. (2018). Lie symmetry analysis for the solution of first-order linear and nonlinear fractional differential equations. International Journal of Applied Mathematical Research, 7(2), 37-41. https://doi.org/10.14419/ijamr.v7i2.9694

    Received date: 2018-02-24

    Accepted date: 2018-03-29

    Published date: 2018-04-01