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A Coupling Method of Regularization and Adomian Decomposition for Solving a Class of the Fredholm Integral Equations Within Local Fractional Operators

Received: 9 February 2017     Accepted: 13 March 2017     Published: 29 March 2017
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Abstract

In this paper, we will apply the combined regularization-Adomian decomposition method within local fractional differential operators to handle local fractional Fredholm integral equation of the first kind. Theoretical considerations are being discussed. To illustrate the ability and simplicity of the method, some examples are provided. The iteration procedure is based on local fractional derivative. The obtained results reveal that the proposed methods are very efficient and simple tools for solving local fractional integral equations.

Published in International Journal of Discrete Mathematics (Volume 2, Issue 3)
DOI 10.11648/j.dmath.20170203.16
Page(s) 95-99
Creative Commons

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), 2017. Published by Science Publishing Group

Keywords

Local Fractional Fredholm Integral Equation, Local Fractional Adomian Decomposition Method, Local Fractional Operator

References
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Cite This Article
  • APA Style

    Hassan Kamil Jassim. (2017). A Coupling Method of Regularization and Adomian Decomposition for Solving a Class of the Fredholm Integral Equations Within Local Fractional Operators. International Journal of Discrete Mathematics, 2(3), 95-99. https://doi.org/10.11648/j.dmath.20170203.16

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    ACS Style

    Hassan Kamil Jassim. A Coupling Method of Regularization and Adomian Decomposition for Solving a Class of the Fredholm Integral Equations Within Local Fractional Operators. Int. J. Discrete Math. 2017, 2(3), 95-99. doi: 10.11648/j.dmath.20170203.16

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    AMA Style

    Hassan Kamil Jassim. A Coupling Method of Regularization and Adomian Decomposition for Solving a Class of the Fredholm Integral Equations Within Local Fractional Operators. Int J Discrete Math. 2017;2(3):95-99. doi: 10.11648/j.dmath.20170203.16

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  • @article{10.11648/j.dmath.20170203.16,
      author = {Hassan Kamil Jassim},
      title = {A Coupling Method of Regularization and Adomian Decomposition for Solving a Class of the Fredholm Integral Equations Within Local Fractional Operators},
      journal = {International Journal of Discrete Mathematics},
      volume = {2},
      number = {3},
      pages = {95-99},
      doi = {10.11648/j.dmath.20170203.16},
      url = {https://doi.org/10.11648/j.dmath.20170203.16},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.dmath.20170203.16},
      abstract = {In this paper, we will apply the combined regularization-Adomian decomposition method within local fractional differential operators to handle local fractional Fredholm integral equation of the first kind. Theoretical considerations are being discussed. To illustrate the ability and simplicity of the method, some examples are provided. The iteration procedure is based on local fractional derivative. The obtained results reveal that the proposed methods are very efficient and simple tools for solving local fractional integral equations.},
     year = {2017}
    }
    

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    T1  - A Coupling Method of Regularization and Adomian Decomposition for Solving a Class of the Fredholm Integral Equations Within Local Fractional Operators
    AU  - Hassan Kamil Jassim
    Y1  - 2017/03/29
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    N1  - https://doi.org/10.11648/j.dmath.20170203.16
    DO  - 10.11648/j.dmath.20170203.16
    T2  - International Journal of Discrete Mathematics
    JF  - International Journal of Discrete Mathematics
    JO  - International Journal of Discrete Mathematics
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    PB  - Science Publishing Group
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    UR  - https://doi.org/10.11648/j.dmath.20170203.16
    AB  - In this paper, we will apply the combined regularization-Adomian decomposition method within local fractional differential operators to handle local fractional Fredholm integral equation of the first kind. Theoretical considerations are being discussed. To illustrate the ability and simplicity of the method, some examples are provided. The iteration procedure is based on local fractional derivative. The obtained results reveal that the proposed methods are very efficient and simple tools for solving local fractional integral equations.
    VL  - 2
    IS  - 3
    ER  - 

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Author Information
  • Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiryah, Iraq

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