Research Article

On a Fuzzy Boundary Value Problem with an Eigenvalue Parameter Contained in the Boundary Condition

Volume: 40 Number: 1 March 22, 2019
Hülya Gültekin Çitil *
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On a Fuzzy Boundary Value Problem with an Eigenvalue Parameter Contained in the Boundary Condition

Abstract

A fuzzy boundary value problem with an eigenvalue parameter contained in the boundary condition is investigated in this paper. The examination is made under the approach of Hukuhara differentiability. The effect on the eigenvalue and the eigenfunction of the problem of the eigenvalue in the boundary condition is shown.

Keywords

Fuzzy Boundary Value Problem,Hukuhara Differentiability,Eigenvalue,Eigenfunction

References

  1. [1]. Bede B., Gal S.G., Almost periodic fuzzy-number-valued functions. Fuzzy Sets and Systems, 147 (2004) 385- 403.
  2. [2]. Bede B., Gal S.G., Generalizations of the differentibility of fuzzy number value functions with applications to fuzzy differential equations. Fuzzy Sets and Systems, 151 (2005) 581-599.
  3. [3]. Bede B., Rudas I.J., Bencsik A.L. First order linear fuzzy differential equations under generalized differentiability. Inform. Sci., 177 (2007) 1648-1662.
  4. [4]. Buckey J.J., Feuring T., Fuzzy differential equations. Fuzzy Sets and Systems, 110 (2000) 43-54.
  5. [5]. Chalco-Cano Y., Roman-Flores H., On new solutions of fuzzy differential equations. Chaos, Solitons & Fractals, 38 (2008) 112-119.
  6. [6]. Fard O.S., Esfahani A., Kamyad A.V., On Solution Of A Class Of Fuzzy BVPs. Iranian of Fuzzy Systems, 9(1) (2012) 49-60.
  7. [7]. Gasilov N.A., Amrahov A.G., Fatullayev A.G., A geometric approach to solve fuzzy linear systems of differential equations. Appl. Math. Inf. Sci., 5 (2011) 484-495.
  8. [8]. Gültekin H., Altınışık N., On solution of two-point fuzzy boundary value problems. Bulletin of Society for Mathematical Services & Standarts, 3(2) (2014) 43-53.
  9. [9]. Gültekin Çitil H., Altınışık N., On the Eigenvalues and the Eigenfunctions Of The Sturm- Liouville Fuzzy Boundary Value Problem. Journal of Mathematical and Computational Science, 7(4) (2017) 786-805.
  10. [10]. Kaleva O., Fuzzy differential equations. Fuzzy Sets and Systems, 24 (1987) 301-317.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Publication Date

March 22, 2019

Submission Date

January 10, 2018

Acceptance Date

January 13, 2019

Published in Issue

Year 2019 Volume: 40 Number: 1

DOI

https://doi.org/10.17776/csj.376952

IZ

https://izlik.org/JA57WN95CE

Cite

RIS / Bibtex
APA
Gültekin Çitil, H. (2019). On a Fuzzy Boundary Value Problem with an Eigenvalue Parameter Contained in the Boundary Condition. Cumhuriyet Science Journal, 40(1), 1-10. https://doi.org/10.17776/csj.376952
AMA
1.Gültekin Çitil H. On a Fuzzy Boundary Value Problem with an Eigenvalue Parameter Contained in the Boundary Condition. CSJ. 2019;40(1):1-10. doi:10.17776/csj.376952
Chicago
Gültekin Çitil, Hülya. 2019. “On a Fuzzy Boundary Value Problem With an Eigenvalue Parameter Contained in the Boundary Condition”. Cumhuriyet Science Journal 40 (1): 1-10. https://doi.org/10.17776/csj.376952.
EndNote
Gültekin Çitil H (March 1, 2019) On a Fuzzy Boundary Value Problem with an Eigenvalue Parameter Contained in the Boundary Condition. Cumhuriyet Science Journal 40 1 1–10.
IEEE
[1]H. Gültekin Çitil, “On a Fuzzy Boundary Value Problem with an Eigenvalue Parameter Contained in the Boundary Condition”, CSJ, vol. 40, no. 1, pp. 1–10, Mar. 2019, doi: 10.17776/csj.376952.
ISNAD
Gültekin Çitil, Hülya. “On a Fuzzy Boundary Value Problem With an Eigenvalue Parameter Contained in the Boundary Condition”. Cumhuriyet Science Journal 40/1 (March 1, 2019): 1-10. https://doi.org/10.17776/csj.376952.
JAMA
1.Gültekin Çitil H. On a Fuzzy Boundary Value Problem with an Eigenvalue Parameter Contained in the Boundary Condition. CSJ. 2019;40:1–10.
MLA
Gültekin Çitil, Hülya. “On a Fuzzy Boundary Value Problem With an Eigenvalue Parameter Contained in the Boundary Condition”. Cumhuriyet Science Journal, vol. 40, no. 1, Mar. 2019, pp. 1-10, doi:10.17776/csj.376952.
Vancouver
1.Hülya Gültekin Çitil. On a Fuzzy Boundary Value Problem with an Eigenvalue Parameter Contained in the Boundary Condition. CSJ. 2019 Mar. 1;40(1):1-10. doi:10.17776/csj.376952

Cited By

Second Order Fuzzy Boundary Value Problem with Fuzzy Parameter

Journal of the Institute of Science and Technology

https://doi.org/10.21597/jist.572407

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