Analytical solutions for conformable fractional Bratu-type 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
    2018-01-27
    https://doi.org/10.14419/ijamr.v7i1.8849
  • Adomian Decomposition Method, Fractional Differential Equations, Conformable Fractional Derivative, Fractional Bratu-Type Equations.

  • Abstract

    Solving fractional differential equations have a prominent function in different science such as physics and engineering. Therefore, are different definitions of the fractional derivative presented in recent years. The aim of the current paper is to solve the fractional differential equation by a semi-analytical method based on conformable fractional derivative. Fractional Bratu-type equations have been solved by the method and to show its capabilities. The obtained results have been compared with the exact solution.

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  • How to Cite

    Ilie, M., Biazar, J., & Ayati, Z. (2018). Analytical solutions for conformable fractional Bratu-type equations. International Journal of Applied Mathematical Research, 7(1), 15-19. https://doi.org/10.14419/ijamr.v7i1.8849

    Received date: 2017-12-13

    Accepted date: 2018-01-22

    Published date: 2018-01-27