Research Article

Conformable Fractional Calculus on Fuzzy Logic

Volume: 9 Number: 1 April 28, 2021
EN

Conformable Fractional Calculus on 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.

Keywords

References

  1. [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. [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. [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. [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. [5] T. Abdeljawad, On conformable fractional calculus, Journal of Computational and Applied Mathematics 279 (2015) 57–66.
  6. [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. [7] A. Kilbas, H. Srivastava, J. Trujillo, Theory and Applications of Fractional Differential Equations, in: Math. Studies., North-Holland, New York, 2006.
  8. [8] B. Bede and L. Stefanini, Generalized differentiability of fuzzy-valued functions, Fuzzy Sets and Systems 230 (2013) 119–141.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

April 28, 2021

Submission Date

April 9, 2021

Acceptance Date

April 14, 2021

Published in Issue

Year 2021 Volume: 9 Number: 1

APA
Akkurt, A. (2021). Conformable Fractional Calculus on Fuzzy Logic. Konuralp Journal of Mathematics, 9(1), 127-131. https://izlik.org/JA84SC93UH
AMA
1.Akkurt A. Conformable Fractional Calculus on Fuzzy Logic. Konuralp J. Math. 2021;9(1):127-131. https://izlik.org/JA84SC93UH
Chicago
Akkurt, Abdullah. 2021. “Conformable Fractional Calculus on Fuzzy Logic”. Konuralp Journal of Mathematics 9 (1): 127-31. https://izlik.org/JA84SC93UH.
EndNote
Akkurt A (April 1, 2021) Conformable Fractional Calculus on Fuzzy Logic. Konuralp Journal of Mathematics 9 1 127–131.
IEEE
[1]A. Akkurt, “Conformable Fractional Calculus on Fuzzy Logic”, Konuralp J. Math., vol. 9, no. 1, pp. 127–131, Apr. 2021, [Online]. Available: https://izlik.org/JA84SC93UH
ISNAD
Akkurt, Abdullah. “Conformable Fractional Calculus on Fuzzy Logic”. Konuralp Journal of Mathematics 9/1 (April 1, 2021): 127-131. https://izlik.org/JA84SC93UH.
JAMA
1.Akkurt A. Conformable Fractional Calculus on Fuzzy Logic. Konuralp J. Math. 2021;9:127–131.
MLA
Akkurt, Abdullah. “Conformable Fractional Calculus on Fuzzy Logic”. Konuralp Journal of Mathematics, vol. 9, no. 1, Apr. 2021, pp. 127-31, https://izlik.org/JA84SC93UH.
Vancouver
1.Abdullah Akkurt. Conformable Fractional Calculus on Fuzzy Logic. Konuralp J. Math. [Internet]. 2021 Apr. 1;9(1):127-31. Available from: https://izlik.org/JA84SC93UH
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