General solution of second order 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
    2018-05-20
    https://doi.org/10.14419/ijamr.v7i2.10116
  • Linear fractional differential equations, Conformable fractional derivative, Constant coefficients approach, Euler’s equation, Variation of parameters, Lagrange method, Undetermined coefficients,

  • Abstract

    Fractional differential equations are often seeming perplexing to solve. Therefore, finding comprehensive methods for solving them sounds of high importance. In this paper, a general method for solving second order fractional differential equations has been presented based on conformable fractional derivative. This method realizes on determining a general solution of homogeneous and a particular solution of a second order linear fractional differential equations. Furthermore, a general solution has been developed for fractional Euler’s equation. For more explanation of each part, some examples have been solved. 

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  • How to Cite

    Ilie, M., Biazar, J., & Ayati, Z. (2018). General solution of second order fractional differential equations. International Journal of Applied Mathematical Research, 7(2), 56-61. https://doi.org/10.14419/ijamr.v7i2.10116

    Received date: 2018-03-13

    Accepted date: 2018-04-16

    Published date: 2018-05-20