Science Journal of Applied Mathematics and Statistics

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On Solving Some Classes of Nonlinear Fractional Differentional Equations Using Fractal Index Method

Received: 28 November 2014    Accepted: 06 December 2014    Published: 17 December 2014
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Abstract

We provide a new solution of diffusion fractional differential equation using fractal index and fractional sub-equation method. Also we shall impose a new solution for fraction Birnolli equation of arbitrary order using the fractal index method. As a result many exact solutions are obtained. It is shown that our considered method provides a very effective tool for solving fractional differentional equations.

DOI 10.11648/j.sjams.20140206.12
Published in Science Journal of Applied Mathematics and Statistics (Volume 2, Issue 6, December 2014)
Page(s) 112-115
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This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Fractional Sub-Equation Method, Fractal Index Method

References
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Author Information
  • Mathematics Department, Faculty of Science, Taif University, Taif, Saudi Arabia; Mathematics Department, Faculty of Science, Menofya University, Shebin Elkom, Egypt

  • Mathematics Department, Faculty of Science, Taif University, Taif, Saudi Arabia; Mathematics Department, Faculty of Science, Al-Azhar University, Cairo, Egypt

  • Mathematics Department, Faculty of Science, Taif University, Taif, Saudi Arabia; Mathematics Department, Faculty of Science, Zagazig University, Kuala Lumpur, Egypt

  • Institute of Mathematical Sciences, University Malaya, 50603, Kuala Lumpur, Malaysia

  • Mathematics Department, Faculty of Science, Taif University, Taif, Saudi Arabia

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  • APA Style

    Sayed K. Elagan, Mohamed S. Mohamed, Khaled A. Gepreel, Rabha W. Ibrahim, Afaf Elesimy. (2014). On Solving Some Classes of Nonlinear Fractional Differentional Equations Using Fractal Index Method. Science Journal of Applied Mathematics and Statistics, 2(6), 112-115. https://doi.org/10.11648/j.sjams.20140206.12

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    ACS Style

    Sayed K. Elagan; Mohamed S. Mohamed; Khaled A. Gepreel; Rabha W. Ibrahim; Afaf Elesimy. On Solving Some Classes of Nonlinear Fractional Differentional Equations Using Fractal Index Method. Sci. J. Appl. Math. Stat. 2014, 2(6), 112-115. doi: 10.11648/j.sjams.20140206.12

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    AMA Style

    Sayed K. Elagan, Mohamed S. Mohamed, Khaled A. Gepreel, Rabha W. Ibrahim, Afaf Elesimy. On Solving Some Classes of Nonlinear Fractional Differentional Equations Using Fractal Index Method. Sci J Appl Math Stat. 2014;2(6):112-115. doi: 10.11648/j.sjams.20140206.12

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  • @article{10.11648/j.sjams.20140206.12,
      author = {Sayed K. Elagan and Mohamed S. Mohamed and Khaled A. Gepreel and Rabha W. Ibrahim and Afaf Elesimy},
      title = {On Solving Some Classes of Nonlinear Fractional Differentional Equations Using Fractal Index Method},
      journal = {Science Journal of Applied Mathematics and Statistics},
      volume = {2},
      number = {6},
      pages = {112-115},
      doi = {10.11648/j.sjams.20140206.12},
      url = {https://doi.org/10.11648/j.sjams.20140206.12},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.sjams.20140206.12},
      abstract = {We provide a new solution of diffusion fractional differential equation using fractal index and fractional sub-equation method. Also we shall impose a new solution for fraction Birnolli equation of arbitrary order using the fractal index method. As a result many exact solutions are obtained. It is shown that our considered method provides a very effective tool for solving fractional differentional equations.},
     year = {2014}
    }
    

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    AU  - Sayed K. Elagan
    AU  - Mohamed S. Mohamed
    AU  - Khaled A. Gepreel
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    JO  - Science Journal of Applied Mathematics and Statistics
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    UR  - https://doi.org/10.11648/j.sjams.20140206.12
    AB  - We provide a new solution of diffusion fractional differential equation using fractal index and fractional sub-equation method. Also we shall impose a new solution for fraction Birnolli equation of arbitrary order using the fractal index method. As a result many exact solutions are obtained. It is shown that our considered method provides a very effective tool for solving fractional differentional equations.
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