Partial Averaging of Fuzzy Hyperbolic Differential Inclusions

Tatyana Alexandrovna Komleva; Irina Vladimirovna Molchanyuk; Andrej Viktorovich Plotnikov; Liliya Ivanovna Plotnikova

doi:doi:10.11648/j.ijssam.20160104.12

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Partial Averaging of Fuzzy Hyperbolic Differential Inclusions

Tatyana Alexandrovna Komleva, Irina Vladimirovna Molchanyuk, Andrej Viktorovich Plotnikov, Liliya Ivanovna Plotnikova

Published in International Journal of Systems Science and Applied Mathematics (Volume 1, Issue 4)

Received: 19 September 2016 Accepted: 28 September 2016 Published: 19 October 2016

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Abstract

In this article, we considered the fuzzy hyperbolic differential inclusions (fuzzy Darboux problem), introduced the concept of R-solution and proved the existence of such a solution. Also the substantiation of a possibility of application of partial averaging method for hyperbolic differential inclusions with the fuzzy right-hand side with the small parameters is considered.

Published in	International Journal of Systems Science and Applied Mathematics (Volume 1, Issue 4)
DOI	10.11648/j.ijssam.20160104.12
Page(s)	42-49
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), 2016. Published by Science Publishing Group

Keywords

Hyperbolic Differential Inclusion, Fuzzy, Averaging, R-solution

References

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Tatyana Alexandrovna Komleva, Irina Vladimirovna Molchanyuk, Andrej Viktorovich Plotnikov, Liliya Ivanovna Plotnikova. (2016). Partial Averaging of Fuzzy Hyperbolic Differential Inclusions. International Journal of Systems Science and Applied Mathematics, 1(4), 42-49. https://doi.org/10.11648/j.ijssam.20160104.12

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ACS Style

Tatyana Alexandrovna Komleva; Irina Vladimirovna Molchanyuk; Andrej Viktorovich Plotnikov; Liliya Ivanovna Plotnikova. Partial Averaging of Fuzzy Hyperbolic Differential Inclusions. Int. J. Syst. Sci. Appl. Math. 2016, 1(4), 42-49. doi: 10.11648/j.ijssam.20160104.12

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AMA Style

Tatyana Alexandrovna Komleva, Irina Vladimirovna Molchanyuk, Andrej Viktorovich Plotnikov, Liliya Ivanovna Plotnikova. Partial Averaging of Fuzzy Hyperbolic Differential Inclusions. Int J Syst Sci Appl Math. 2016;1(4):42-49. doi: 10.11648/j.ijssam.20160104.12

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@article{10.11648/j.ijssam.20160104.12,
  author = {Tatyana Alexandrovna Komleva and Irina Vladimirovna Molchanyuk and Andrej Viktorovich Plotnikov and Liliya Ivanovna Plotnikova},
  title = {Partial Averaging of Fuzzy Hyperbolic Differential Inclusions},
  journal = {International Journal of Systems Science and Applied Mathematics},
  volume = {1},
  number = {4},
  pages = {42-49},
  doi = {10.11648/j.ijssam.20160104.12},
  url = {https://doi.org/10.11648/j.ijssam.20160104.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijssam.20160104.12},
  abstract = {In this article, we considered the fuzzy hyperbolic differential inclusions (fuzzy Darboux problem), introduced the concept of R-solution and proved the existence of such a solution. Also the substantiation of a possibility of application of partial averaging method for hyperbolic differential inclusions with the fuzzy right-hand side with the small parameters is considered.},
 year = {2016}
}

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TY  - JOUR
T1  - Partial Averaging of Fuzzy Hyperbolic Differential Inclusions
AU  - Tatyana Alexandrovna Komleva
AU  - Irina Vladimirovna Molchanyuk
AU  - Andrej Viktorovich Plotnikov
AU  - Liliya Ivanovna Plotnikova
Y1  - 2016/10/19
PY  - 2016
N1  - https://doi.org/10.11648/j.ijssam.20160104.12
DO  - 10.11648/j.ijssam.20160104.12
T2  - International Journal of Systems Science and Applied Mathematics
JF  - International Journal of Systems Science and Applied Mathematics
JO  - International Journal of Systems Science and Applied Mathematics
SP  - 42
EP  - 49
PB  - Science Publishing Group
SN  - 2575-5803
UR  - https://doi.org/10.11648/j.ijssam.20160104.12
AB  - In this article, we considered the fuzzy hyperbolic differential inclusions (fuzzy Darboux problem), introduced the concept of R-solution and proved the existence of such a solution. Also the substantiation of a possibility of application of partial averaging method for hyperbolic differential inclusions with the fuzzy right-hand side with the small parameters is considered.
VL  - 1
IS  - 4
ER  -

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Author Information

Tatyana Alexandrovna Komleva

Department of Mathematics, Odessa State Academy of Civil Engineering and Architecture, Odessa, Ukraine
Irina Vladimirovna Molchanyuk

Department of Applied Mathematics, Odessa State Academy of Civil Engineering and Architecture, Odessa, Ukraine
Andrej Viktorovich Plotnikov

Department of Applied Mathematics, Odessa State Academy of Civil Engineering and Architecture, Odessa, Ukraine
Liliya Ivanovna Plotnikova

Department of Mathematics, Odessa National Polytechnic University, Odessa, Ukraine

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APA Style

Tatyana Alexandrovna Komleva, Irina Vladimirovna Molchanyuk, Andrej Viktorovich Plotnikov, Liliya Ivanovna Plotnikova. (2016). Partial Averaging of Fuzzy Hyperbolic Differential Inclusions. International Journal of Systems Science and Applied Mathematics, 1(4), 42-49. https://doi.org/10.11648/j.ijssam.20160104.12

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ACS Style

Tatyana Alexandrovna Komleva; Irina Vladimirovna Molchanyuk; Andrej Viktorovich Plotnikov; Liliya Ivanovna Plotnikova. Partial Averaging of Fuzzy Hyperbolic Differential Inclusions. Int. J. Syst. Sci. Appl. Math. 2016, 1(4), 42-49. doi: 10.11648/j.ijssam.20160104.12

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AMA Style

Tatyana Alexandrovna Komleva, Irina Vladimirovna Molchanyuk, Andrej Viktorovich Plotnikov, Liliya Ivanovna Plotnikova. Partial Averaging of Fuzzy Hyperbolic Differential Inclusions. Int J Syst Sci Appl Math. 2016;1(4):42-49. doi: 10.11648/j.ijssam.20160104.12

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@article{10.11648/j.ijssam.20160104.12,
  author = {Tatyana Alexandrovna Komleva and Irina Vladimirovna Molchanyuk and Andrej Viktorovich Plotnikov and Liliya Ivanovna Plotnikova},
  title = {Partial Averaging of Fuzzy Hyperbolic Differential Inclusions},
  journal = {International Journal of Systems Science and Applied Mathematics},
  volume = {1},
  number = {4},
  pages = {42-49},
  doi = {10.11648/j.ijssam.20160104.12},
  url = {https://doi.org/10.11648/j.ijssam.20160104.12},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijssam.20160104.12},
  abstract = {In this article, we considered the fuzzy hyperbolic differential inclusions (fuzzy Darboux problem), introduced the concept of R-solution and proved the existence of such a solution. Also the substantiation of a possibility of application of partial averaging method for hyperbolic differential inclusions with the fuzzy right-hand side with the small parameters is considered.},
 year = {2016}
}

Copy | Download

TY  - JOUR
T1  - Partial Averaging of Fuzzy Hyperbolic Differential Inclusions
AU  - Tatyana Alexandrovna Komleva
AU  - Irina Vladimirovna Molchanyuk
AU  - Andrej Viktorovich Plotnikov
AU  - Liliya Ivanovna Plotnikova
Y1  - 2016/10/19
PY  - 2016
N1  - https://doi.org/10.11648/j.ijssam.20160104.12
DO  - 10.11648/j.ijssam.20160104.12
T2  - International Journal of Systems Science and Applied Mathematics
JF  - International Journal of Systems Science and Applied Mathematics
JO  - International Journal of Systems Science and Applied Mathematics
SP  - 42
EP  - 49
PB  - Science Publishing Group
SN  - 2575-5803
UR  - https://doi.org/10.11648/j.ijssam.20160104.12
AB  - In this article, we considered the fuzzy hyperbolic differential inclusions (fuzzy Darboux problem), introduced the concept of R-solution and proved the existence of such a solution. Also the substantiation of a possibility of application of partial averaging method for hyperbolic differential inclusions with the fuzzy right-hand side with the small parameters is considered.
VL  - 1
IS  - 4
ER  -

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