KaydedilenlerDerginizi ekleyin

Dergiler / Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2026 / Cilt: 10 Sayı: 1

On a Fuzzy Problem with Variable Coefficient by Fuzzy Laplace Transform

Hülya Gültekin Çitil0000-0002-3543-033X
Sayfa
576–583
Yayın Tarihi
2020-03-01
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Conclusions are given.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:This study is on solutions of a fuzzy problem with variable coefficient.
📊
Temel Bulgular & Veri:Solutions are found by fuzzy Laplace transform.
💡
Sonuç & Katkı:Conclusions are given.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Fuzzy initial value problem · fuzzy Laplace transform · generalized differentiability

Özet

This study is on solutions of a fuzzy problem with variable coefficient. Solutions are found by fuzzy Laplace transform. Generalized differentiability is used. It is searched whether the solutions are valid 𝛼-level sets or not. Examples are solved on studied problem. Conclusions are given.

Abstract

This study is on solutions of a fuzzy problem with variable coefficient. Solutions are found by fuzzy Laplace transform. Generalized differentiability is used. It is searched whether the solutions are valid 𝛼-level sets or not. Examples are solved on studied problem. Conclusions are given.

🔖

Bu Makaleye Atıf Yap

Çitil, H. G. (2020). On a Fuzzy Problem with Variable Coefficient by Fuzzy Laplace Transform. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 10 Sayı: 1, 576–583. https://doi.org/10.21597/jist.599553

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (22)

  1. Ahmad N, Mamat M, Kavikumar J, Amir Hamzah NS, 2012. Solving fuzzy duffing’s equation by the fuzzy Laplace transform decomposition. Applied Mathematical Sciences, 6(59):2935-2944.
  2. Allahviranloo T, Barkhordari Ahmadi M, 2010. Fuzzy Laplace transforms, Soft Computing, 14(3):235-243.
  3. Bede B, 2008. Note on ‘‘Numerical solutions of fuzzy differential equations by predictor-corrector method’’. Information Sciences, 178(7):1917-1922.
  4. Bede B, Rudas IJ, Bencsik AL, 2007. First order linear fuzzy differential equations under generalized differentiability. Information Sciences, 177(7):1648-1662.
  5. Buckley JJ, Feuring T, Hayashi Y, 2002. Linear systems of first order ordinary differential equations: Fuzzy initial conditions. Soft Computing, 6(6):415-421.
  6. Ceylan T, Altınışık N, 2018. Fuzzy eigenvalue problem with eigenvalue parameter contained in the boundary condition. Journal of Science and Arts, 3(44):589-602.
  7. Fatullayev AG, Can E, Köroğlu C, 2013. Numerical solution of a boundary value problem for a second order fuzzy differential equation, TWMS Journal of Pure and Applied Mathematics, 4(2):169-176.
  8. Gültekin H, Altınışık N, 2014. On solution of two-point fuzzy boundary value problems. The Bulletin of Society for Mathematical Services and Standards, 11:31-39.
  9. Gültekin Çitil H, 2018. 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.
  10. Hüllermeier E, 1997. An approach to modelling and simulation of uncertain dynamical systems. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 5(2):117-137.
  11. Khastan A, Bahrami F, Ivaz K, 2009. New results on multiple solutions for nth-order fuzzy differential equations under generalized differentiability. Boundary Value Problems, doi:10.1155/2009/395714, 1-13.
  12. Khastan A, Nieto JJ, 2010. A boundary value problem for second order fuzzy differential equations. Nonlinear Analysis, 72(9-10):3583-3593.
  13. Liu H-K, 2011. Comparison results of two-point fuzzy boundary value problems. International Journal of Computational and Mathematical Sciences, 5(1):1-7.
  14. Mondal SP, Banerjee S, Roy TK, 2013. First order linear homogeneous ordinary differential equation in fuzzy environment. International Journal of Pure and Applied Sciences and Technology, 14(1):16-26.
  15. Mondal SP, Roy TK, 2015. Generalized intuitionistic fuzzy Laplace transform and its application in electrical circuit. TWMS Journal of Applied and Engineering Mathematics, 5(1):30-45.
  16. Patel KR, Desai NB, 2017. 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.
  17. Puri ML, Ralescu DA, 1983. Differentials of fuzzy functions. Journal of Mathematical Analysis and Applications, 91(2):552-558.
  18. Ramazannia Tolouti SJ, Barkhordary Ahmadi M, 2010. Fuzzy Laplace transform on two order derivative and solving fuzzy two order differential equations. International Journal of Industrial Mathematics, 4(2):279-293.
  19. Salahshour S. Allahviranloo T, 2013. Applications of fuzzy Laplace transforms. Soft Computing, 17(1):145-158.
  20. Stefanini L, Bede B, 2008. Generalized Hukuhara differentiability of interval-valued functions and interval differential equations. Nonlinear Analysis, 71(3-4):1311-1328.
  21. Zadeh LA, 1965. Fuzzy sets. Information and Control, 8(3):338-353.
  22. Zadeh LA, 1975. The concept of a linguistic variable and its application to approximate reasoning-I. Information Sciences, 8(3):199-249.