Araştırma Makalesi

TWO POINT FUZZY BOUNDARY VALUE PROBLEM WITH EXTENSION PRINCIPLE USING HEAVISIDE FUNCTION

Cilt: 6 Sayı: 2 31 Temmuz 2023
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TWO POINT FUZZY BOUNDARY VALUE PROBLEM WITH EXTENSION PRINCIPLE USING HEAVISIDE FUNCTION

Öz

In this paper we deal with the fuzzy eigenfunctions of the two point fuzzy boundary value problem (FBVP) with fuzzy coefficient of the boundary conditions. The fuzzy solution is obtained from the Zadeh's extension principle using the Heaviside function. The eigenvalues and the fuzzy eigenfunctions of the boundary value problem are found using the Wronskian functions. We present an example in order to compare the proposed solution.

Anahtar Kelimeler

Kaynakça

  1. S.L. Chang, L.A. Zadeh, On Fuzzy Mapping and Control , IEEE Transactions on Systems Man Cybernetics, Vol. 2, No. 1, pp. 30-34 (1972).
  2. M. L. Puri, D. A. Ralescu , Differentials of fuzzy functions, Journal of Math. Analysis and App., Vol. 91, No. 2, pp. 552–558 (1983).
  3. O. Kaleva , Fuzzy differential equations, Fuzzy sets and systems, Vol. 24, No. 3, pp. 301–317 (1987).
  4. B. Bede, S. G. Gal , Generalizations of the differentiability of fuzzy number-valued functions with applications to fuzzy differential equations, Fuzzy Sets and Systems, Vol. 151, pp. 581-599 (2005).
  5. N. Gasilov, S.E. Amrahov, A.G. Fatullayev , Solution of linear differential equations with fuzzy boundary values, Fuzzy Sets Syst., Vol. 257, pp. 169–183 (2014).
  6. M.T. Mizukoshi, L.C. Barros, Y. Chalco-Cano, H. Rom´an-Flores, R.C. Bassanezi, Fuzzy differential equations and the extension principle, Inf. Sci., Vol. 177, pp. 3627–3635 (2007).
  7. H.K. Liu , Comparison results of two-point fuzzy boundary value problems, International Journal of Computational and Mathematical Sciences, Vol. 5, No. 1, pp. 1-7 (2011).
  8. H. Gultekin Citil, , The eigenvalues and the eigenfunctions of the Sturm- Liouville fuzzy boundary value problem according to the generalized differentiability, Scholars Journal of Physics, Vol. 4, No. 4, pp. 185–195 (2017).

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

31 Temmuz 2023

Gönderilme Tarihi

30 Mayıs 2023

Kabul Tarihi

28 Temmuz 2023

Yayımlandığı Sayı

Yıl 2023 Cilt: 6 Sayı: 2

Kaynak Göster

APA
Ceylan, T. (2023). TWO POINT FUZZY BOUNDARY VALUE PROBLEM WITH EXTENSION PRINCIPLE USING HEAVISIDE FUNCTION. Journal of Universal Mathematics, 6(2), 131-141. https://doi.org/10.33773/jum.1307156
AMA
1.Ceylan T. TWO POINT FUZZY BOUNDARY VALUE PROBLEM WITH EXTENSION PRINCIPLE USING HEAVISIDE FUNCTION. JUM. 2023;6(2):131-141. doi:10.33773/jum.1307156
Chicago
Ceylan, Tahir. 2023. “TWO POINT FUZZY BOUNDARY VALUE PROBLEM WITH EXTENSION PRINCIPLE USING HEAVISIDE FUNCTION”. Journal of Universal Mathematics 6 (2): 131-41. https://doi.org/10.33773/jum.1307156.
EndNote
Ceylan T (01 Temmuz 2023) TWO POINT FUZZY BOUNDARY VALUE PROBLEM WITH EXTENSION PRINCIPLE USING HEAVISIDE FUNCTION. Journal of Universal Mathematics 6 2 131–141.
IEEE
[1]T. Ceylan, “TWO POINT FUZZY BOUNDARY VALUE PROBLEM WITH EXTENSION PRINCIPLE USING HEAVISIDE FUNCTION”, JUM, c. 6, sy 2, ss. 131–141, Tem. 2023, doi: 10.33773/jum.1307156.
ISNAD
Ceylan, Tahir. “TWO POINT FUZZY BOUNDARY VALUE PROBLEM WITH EXTENSION PRINCIPLE USING HEAVISIDE FUNCTION”. Journal of Universal Mathematics 6/2 (01 Temmuz 2023): 131-141. https://doi.org/10.33773/jum.1307156.
JAMA
1.Ceylan T. TWO POINT FUZZY BOUNDARY VALUE PROBLEM WITH EXTENSION PRINCIPLE USING HEAVISIDE FUNCTION. JUM. 2023;6:131–141.
MLA
Ceylan, Tahir. “TWO POINT FUZZY BOUNDARY VALUE PROBLEM WITH EXTENSION PRINCIPLE USING HEAVISIDE FUNCTION”. Journal of Universal Mathematics, c. 6, sy 2, Temmuz 2023, ss. 131-4, doi:10.33773/jum.1307156.
Vancouver
1.Tahir Ceylan. TWO POINT FUZZY BOUNDARY VALUE PROBLEM WITH EXTENSION PRINCIPLE USING HEAVISIDE FUNCTION. JUM. 01 Temmuz 2023;6(2):131-4. doi:10.33773/jum.1307156

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Intuitionistic fuzzy eigenvalue problem

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https://doi.org/10.11121/ijocta.1471