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

Hassan Kamil Jassim

doi:doi:10.11648/j.dmath.20170203.16

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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

Hassan Kamil Jassim

Published in International Journal of Discrete Mathematics (Volume 2, Issue 3)

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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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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TY  - JOUR
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
PY  - 2017
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
SP  - 95
EP  - 99
PB  - Science Publishing Group
SN  - 2578-9252
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

Hassan Kamil Jassim

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

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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}
}

Copy | Download

TY  - JOUR
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
PY  - 2017
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
SP  - 95
EP  - 99
PB  - Science Publishing Group
SN  - 2578-9252
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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