KaydedilenlerDerginizi ekleyin

Dergiler / Konuralp Journal of Mathematics / 2026 / Volume: 9 Issue: 1

Conformable Fractional Calculus on Fuzzy Logic

Abdullah Akkurt(Kahramanmaraş Sütçü İmam Üniversitesi)0000-0001-5644-1276
Sayfa
—
Yayın Tarihi
2021-04-28
DOI
—
🏛️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)

We will get some new applications with the help of this concept.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this article, we present a new general definition of fuzzy conformable fractional derivative and fractional integral, that depends on an unknown kernel.
📊
Temel Bulgular & Veri:In this article, we present a new general definition of fuzzy conformable fractional derivative and fractional integral, that depends on an unknown kernel.
💡
Sonuç & Katkı:We will get some new applications with the help of this concept.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Conformable fractional derivative · Fractional derivative and integrals · Fuzzy logic

Abstract

In this article, we present a new general definition of fuzzy conformable fractional derivative and fractional integral, that depends on an unknown kernel. We will get some new applications with the help of this concept.

🔖

Bu Makaleye Atıf Yap

Akkurt, A. (2021). Conformable Fractional Calculus on Fuzzy Logic. Konuralp Journal of Mathematics, Volume: 9 Issue: 1. https://ajindex.com/articles/1521621

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (23)

  1. A. Akkurt, M.E. Yıldırım and H. Yıldırım, On Some Integral Inequalities for Conformable Fractional Integrals, Asian Journal of Mathematics and Computer Research, 15(3): 205-212, 2017.
  2. A. Akkurt, M.E. Yıldırım and H. Yıldırım, A new Generalized fractional derivative and integral, Konuralp Journal of Mathematics, Volume 5 No. 2 pp. 248–259 (2017).
  3. M.E. Yıldırım, A. Akkurt and H. Yıldırım, On the Hadamard’s type inequalities for convex functions via conformable fractional integral, Journal of Inequalities and Special Functions, Volume 9 Issue 3(2018), Pages 1-10.
  4. M.Z Sarıkaya, A. Akkurt, H. Budak, M.E. Yıldırım, and H. Yıldırım, Hermite-Hadamard’s inequalities for conformable fractional integrals. An Interna-tional Journal of Optimization and Control: Theories &Amp; Applications (IJOCTA), 9(1), 49–59, 2019. https://doi.org/10.11121/ijocta.01.2019.00559.
  5. T. Abdeljawad, On conformable fractional calculus, Journal of Computational and Applied Mathematics 279 (2015) 57–66.
  6. R. Almeida, M. Guzowska and T. Odzijewicz, A remark on local fractional calculus and ordinary derivatives, Open Mathematics, vol. 14, no. 1, 2016, pp. 1122-1124. https://doi.org/10.1515/math-2016-0104
  7. A. Kilbas, H. Srivastava, J. Trujillo, Theory and Applications of Fractional Differential Equations, in: Math. Studies., North-Holland, New York, 2006.
  8. B. Bede and L. Stefanini, Generalized differentiability of fuzzy-valued functions, Fuzzy Sets and Systems 230 (2013) 119–141.
  9. R. Khalil, M. Al horani, A. Yousef, M. Sababheh, A new definition of fractional derivative, Journal of Computational Apllied Mathematics, 264 (2014), 65-70.
  10. S. Markov, “Calculus for interval functions of a real variable,” Computing, vol. 22, no. 4, pp. 325–337, 1979.
  11. O.A. Arqub and M. Al-Smadi, Fuzzy conformable fractional differential equations: novel extended approach and new numerical solutions. Soft Comput 24, 12501–12522 (2020). https://doi.org/10.1007/s00500-020-04687-0
  12. H. Y. Goo and J. S. Park, “On the continuity of the Zadeh extensions,” Journal of the Chungcheong Mathematical Society, vol. 20, no. 4, pp. 525–533, 2007.
  13. L. Stefanini, “A generalization of Hukuhara difference and division for interval and fuzzy arithmetic,” Fuzzy Sets and Systems, vol. 161, no. 11, pp. 1564–1584, 2010.
  14. S.G. Samko, A.A. Kilbas and O.I. Marichev, Fractional Integrals and Derivatives, Theory and Applications, Gordon and Breach, Yverdon, Switzerland, 1993
  15. M. Z. Sarikaya, H. Budak and F.Usta, On generalized the conformable fractional calculus, TWMS J. App. Eng. Math. V.9, N.4, 2019, pp. 792-799.
  16. M. Z. Sarikaya, A. Akkurt, H. Budak, M.E. Turkay¨ and H. Yıldırım, On some special functions for conformable fractional integrals. Konuralp Journal of Mathematics, 8(2), 376-383.
  17. M.Z. Sarıkaya, Gronwall type inequalities for conformable fractional integrals. Konuralp Journal of Mathematics, 4(2), 217-222, 2016.
  18. F. Usta and M.Z. Sarıkaya, Some improvements of conformable fractional integral inequalities. International Journal of Analysis and Applications, 14(2), 162-166, 2017.
  19. F. Usta and M.Z. Sarıkaya, On generalization conformable fractional integral inequalities. Filomat, 32(16), 5519-5526, 2018.
  20. V. Lakshmikantham, R.N. Mohapatra, Theory of Fuzzy Differential Equations and Applications, Taylor & Francis, London (2003).
  21. L.A. Zadeh, Fuzzy sets, Inform. Control. 8 (1965), 338–353.
  22. M. L. Puri and D. A. Ralescu, Differentials of fuzzy functions, Journal of Mathematical Analysis and Applications, vol. 91, no. 2, pp. 552–558, 1983.
  23. G. A. Anastassiou and S. G. Gal, “On a fuzzy trigonometric approximation theorem of Weierstrass-type,” Journal of Fuzzy Mathematics, vol. 9, pp. 701–708, 2001.