Araştırma Makalesi
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On third-order fuzzy differential equations by fuzzy Laplace transform

Yıl 2020, Cilt: 22 Sayı: 1, 345 - 353, 10.01.2020
https://doi.org/10.25092/baunfbed.680824

Öz

In this study, third-order fuzzy differential equations are studied using fuzzy Laplace transform under the approach of Hukuhara differentiability. Examples are solved. Graphics of the solutions are drawn. Conclusions are given.

Kaynakça

  • Buckley J. J., Feuring T., Fuzzy differential equations, Fuzzy Sets and Systems, 110, 1, 43–54, (2000).
  • Gasilov N, Amrahov Ş. E., Fatullayev A. G., A geometric approach to solve fuzzy linear systems of differential equations, Applied Mathematics and Information Sciences, 5, 3, 484-499, (2011).
  • Gültekin Çitil H., The relationship between the solutions according to the noniterative method and the generalized differentiability of the fuzzy boundary value problem, Malaya Journal of Matematik, 6, 4, 781-787, (2018).
  • Gültekin Çitil H., Altınışık N., The Examination of Eigenvalues and Eigenfunctions of the Sturm-Liouville Fuzzy Problem According to Boundary Conditions, International Journal of Mathematical Combinatorics, 1, 51-60, (2018).
  • Hüllermeier E., An approach to modelling and simulation of uncertain dynamical systems, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 5, 2, 117-137, (1997).
  • Khastan A., Nieto J. J., A boundary value problem for second order fuzzy differential equations, Nonlinear Analysis, 72, 9-10, 3583-3593, (2010).
  • Allahviranloo T., Barkhordari Ahmadi M., Fuzzy Laplace transforms, Soft Computing, 14, 3, 235-243, (2010).
  • Patel K. R., Desai N. B., Solution of fuzzy initial value problems by fuzzy Laplace transform, Kalpa Publications in Computing, 2, 25-37, (2017).
  • Patel K. R., Desai N. B., Solution of variable coefficient fuzzy differential equations by fuzzy Laplace transform, International Journal on Recent and Innovation Trends in Computing and Communication, 5, 6, 927-942, (2017).
  • Salahshour S., Allahviranloo T., Applications of fuzzy Laplace transforms, Soft Computing, 17, 1, 145-158, (2013).
  • Muhammad Ali H. F., Haydar A. K., On fuzzy Laplace transforms for fuzzy differential equations of the third order, Journal of Kerbala University , 11, 3, 251-256, (2013).
  • Liu H.-K., Comparison results of two-point fuzzy boundary value problems, International Journal of Computational and Mathematical Sciences, 5, 1, 1-7, (2011).

Fuzzy Laplace dönüşümüyle üçüncü-mertebe fuzzy diferansiyel denklemler üzerine

Yıl 2020, Cilt: 22 Sayı: 1, 345 - 353, 10.01.2020
https://doi.org/10.25092/baunfbed.680824

Öz

Bu çalışmada, Hukuhara diferansiyellenebilirlik yaklaşımı altında fuzzy Laplace dönüşümü kullanarak üçüncü-mertebe fuzzy diferansiyel denklemler çalışıldı. Örnekler çözüldü. Çözümlerin grafikleri çizildi. Sonuçlar verildi.

Kaynakça

  • Buckley J. J., Feuring T., Fuzzy differential equations, Fuzzy Sets and Systems, 110, 1, 43–54, (2000).
  • Gasilov N, Amrahov Ş. E., Fatullayev A. G., A geometric approach to solve fuzzy linear systems of differential equations, Applied Mathematics and Information Sciences, 5, 3, 484-499, (2011).
  • Gültekin Çitil H., The relationship between the solutions according to the noniterative method and the generalized differentiability of the fuzzy boundary value problem, Malaya Journal of Matematik, 6, 4, 781-787, (2018).
  • Gültekin Çitil H., Altınışık N., The Examination of Eigenvalues and Eigenfunctions of the Sturm-Liouville Fuzzy Problem According to Boundary Conditions, International Journal of Mathematical Combinatorics, 1, 51-60, (2018).
  • Hüllermeier E., An approach to modelling and simulation of uncertain dynamical systems, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 5, 2, 117-137, (1997).
  • Khastan A., Nieto J. J., A boundary value problem for second order fuzzy differential equations, Nonlinear Analysis, 72, 9-10, 3583-3593, (2010).
  • Allahviranloo T., Barkhordari Ahmadi M., Fuzzy Laplace transforms, Soft Computing, 14, 3, 235-243, (2010).
  • Patel K. R., Desai N. B., Solution of fuzzy initial value problems by fuzzy Laplace transform, Kalpa Publications in Computing, 2, 25-37, (2017).
  • Patel K. R., Desai N. B., Solution of variable coefficient fuzzy differential equations by fuzzy Laplace transform, International Journal on Recent and Innovation Trends in Computing and Communication, 5, 6, 927-942, (2017).
  • Salahshour S., Allahviranloo T., Applications of fuzzy Laplace transforms, Soft Computing, 17, 1, 145-158, (2013).
  • Muhammad Ali H. F., Haydar A. K., On fuzzy Laplace transforms for fuzzy differential equations of the third order, Journal of Kerbala University , 11, 3, 251-256, (2013).
  • Liu H.-K., Comparison results of two-point fuzzy boundary value problems, International Journal of Computational and Mathematical Sciences, 5, 1, 1-7, (2011).
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Hülya Gültekin Çitil 0000-0002-3543-033X

Yayımlanma Tarihi 10 Ocak 2020
Gönderilme Tarihi 25 Ekim 2019
Yayımlandığı Sayı Yıl 2020 Cilt: 22 Sayı: 1

Kaynak Göster

APA Gültekin Çitil, H. (2020). On third-order fuzzy differential equations by fuzzy Laplace transform. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 22(1), 345-353. https://doi.org/10.25092/baunfbed.680824
AMA Gültekin Çitil H. On third-order fuzzy differential equations by fuzzy Laplace transform. BAUN Fen. Bil. Enst. Dergisi. Ocak 2020;22(1):345-353. doi:10.25092/baunfbed.680824
Chicago Gültekin Çitil, Hülya. “On Third-Order Fuzzy Differential Equations by Fuzzy Laplace Transform”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22, sy. 1 (Ocak 2020): 345-53. https://doi.org/10.25092/baunfbed.680824.
EndNote Gültekin Çitil H (01 Ocak 2020) On third-order fuzzy differential equations by fuzzy Laplace transform. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22 1 345–353.
IEEE H. Gültekin Çitil, “On third-order fuzzy differential equations by fuzzy Laplace transform”, BAUN Fen. Bil. Enst. Dergisi, c. 22, sy. 1, ss. 345–353, 2020, doi: 10.25092/baunfbed.680824.
ISNAD Gültekin Çitil, Hülya. “On Third-Order Fuzzy Differential Equations by Fuzzy Laplace Transform”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22/1 (Ocak 2020), 345-353. https://doi.org/10.25092/baunfbed.680824.
JAMA Gültekin Çitil H. On third-order fuzzy differential equations by fuzzy Laplace transform. BAUN Fen. Bil. Enst. Dergisi. 2020;22:345–353.
MLA Gültekin Çitil, Hülya. “On Third-Order Fuzzy Differential Equations by Fuzzy Laplace Transform”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, c. 22, sy. 1, 2020, ss. 345-53, doi:10.25092/baunfbed.680824.
Vancouver Gültekin Çitil H. On third-order fuzzy differential equations by fuzzy Laplace transform. BAUN Fen. Bil. Enst. Dergisi. 2020;22(1):345-53.