General solution of Bernoulli and Riccati fractional differential equations based on conformable fractional derivative

  • Authors

    • Mousa Ilie Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran
    • Jafar Biazar Department of Applied Mathematics, Faculty of Mathematical Science, University of Guilan
    • Zainab Ayati Department of Engineering sciences, Faculty of Technology and Engineering East of Guilan, University of Guilan, P.C. 44891-63157, Rudsar-Vajargah, Iran
    2017-04-29
    https://doi.org/10.14419/ijamr.v6i2.7014
  • Fractional Differential Equations, Conformable Fractional Derivative, Bernoulli Fractional Differential Equation, Riccati Fractional Differential Equation.

  • Abstract

    This paper aimed to develop two well-known nonlinear ordinary different equations, Bernoulli and Riccati equations to fractional form. General solution to fractional differential equations are detected, based on conformable fractional derivative. For each equation, numerical examples are presented to illustrate the proposed approach.

  • References

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  • How to Cite

    Ilie, M., Biazar, J., & Ayati, Z. (2017). General solution of Bernoulli and Riccati fractional differential equations based on conformable fractional derivative. International Journal of Applied Mathematical Research, 6(2), 49-51. https://doi.org/10.14419/ijamr.v6i2.7014

    Received date: 2016-11-25

    Accepted date: 2016-12-19

    Published date: 2017-04-29