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

DOI:

https://doi.org/10.14419/ijamr.v6i2.7014

Published:

2017-04-29

Keywords:

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.

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