Research Article

Conformable Derivatives and Integrals for the Functions of Two Variables

Volume: 9 Number: 1 April 28, 2021
EN

Conformable Derivatives and Integrals for the Functions of Two Variables

Abstract

In this paper, we introduce conformable derivatives and integrals for the functions of two variables. This class of new fractional operators includes many definitions in the literature, such as Riemann-Liouville Fractional Derivatives and Integrals [6,7], Conformable Calculus [8,9], etc. In addition, some basic definitions and theorems have been obtained for these operators.

Keywords

References

  1. [1] 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).
  2. [2] 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 & Applications (IJOCTA), 9(1), 49-59 (2019). doi:http://dx.doi.org/10.11121/ijocta.01.2019.00559.
  3. [3] R. Almeida, M. Guzowska, and T. Odzijewicz, A remark on local fractional calculus and ordinary derivatives, Open Mathematics, 14(1), 1122-1124 (2016). doi: https://doi.org/10.1515/math-2016-0104
  4. [4] D. R. Anderson, Taylor’s Formula and Integral Inequalities for Conformable Fractional Derivatives. In: Pardalos P., Rassias T. (eds) Contributions in Mathematics and Engineering. Springer, 2016, Cham
  5. [5] U. N. Katugampola, A new fractional derivative with classical properties, arXiv:1410.6535v1 [math.CA] 2014
  6. [6] A. Kilbas, H. Srivastava, J. Trujillo, Theory and Applications of Fractional Differential Eqnarrays, in: Math. Studies., North-Holland, New York, 2006.
  7. [7] S. G. Samko, A. A. Kilbas amd O. I. Marichev, Fractional Integrals and Derivatives, Theory and Applications, Gordon and Breach, Yverdon, Switzerland, 1993.
  8. [8] T. Abdeljawad, On conformable fractional calculus, Journal of Computational and Applied Mathematics 279 (2015) 57-66.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

April 28, 2021

Submission Date

July 2, 2020

Acceptance Date

January 11, 2021

Published in Issue

Year 2021 Volume: 9 Number: 1

APA
Bozkurt, M., Akkurt, A., & Yildirim, H. (2021). Conformable Derivatives and Integrals for the Functions of Two Variables. Konuralp Journal of Mathematics, 9(1), 49-59. https://izlik.org/JA58LZ59EA
AMA
1.Bozkurt M, Akkurt A, Yildirim H. Conformable Derivatives and Integrals for the Functions of Two Variables. Konuralp J. Math. 2021;9(1):49-59. https://izlik.org/JA58LZ59EA
Chicago
Bozkurt, Muhammet, Abdullah Akkurt, and Hüseyin Yildirim. 2021. “Conformable Derivatives and Integrals for the Functions of Two Variables”. Konuralp Journal of Mathematics 9 (1): 49-59. https://izlik.org/JA58LZ59EA.
EndNote
Bozkurt M, Akkurt A, Yildirim H (April 1, 2021) Conformable Derivatives and Integrals for the Functions of Two Variables. Konuralp Journal of Mathematics 9 1 49–59.
IEEE
[1]M. Bozkurt, A. Akkurt, and H. Yildirim, “Conformable Derivatives and Integrals for the Functions of Two Variables”, Konuralp J. Math., vol. 9, no. 1, pp. 49–59, Apr. 2021, [Online]. Available: https://izlik.org/JA58LZ59EA
ISNAD
Bozkurt, Muhammet - Akkurt, Abdullah - Yildirim, Hüseyin. “Conformable Derivatives and Integrals for the Functions of Two Variables”. Konuralp Journal of Mathematics 9/1 (April 1, 2021): 49-59. https://izlik.org/JA58LZ59EA.
JAMA
1.Bozkurt M, Akkurt A, Yildirim H. Conformable Derivatives and Integrals for the Functions of Two Variables. Konuralp J. Math. 2021;9:49–59.
MLA
Bozkurt, Muhammet, et al. “Conformable Derivatives and Integrals for the Functions of Two Variables”. Konuralp Journal of Mathematics, vol. 9, no. 1, Apr. 2021, pp. 49-59, https://izlik.org/JA58LZ59EA.
Vancouver
1.Muhammet Bozkurt, Abdullah Akkurt, Hüseyin Yildirim. Conformable Derivatives and Integrals for the Functions of Two Variables. Konuralp J. Math. [Internet]. 2021 Apr. 1;9(1):49-5. Available from: https://izlik.org/JA58LZ59EA
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