ON GENERALIZED THE CONFORMABLE FRACTIONAL CALCULUS

Volume: 9 Number: 4 December 1, 2019
  • M. Z. Sarıkaya
  • H. Budak
  • H. Usta
EN

ON GENERALIZED THE CONFORMABLE FRACTIONAL CALCULUS

Abstract

In this paper, we generalize the conformable fractional derivative and integral and obtain several results such as the product rule, quotient rule, chain rule.

Keywords

References

  1. Abdeljawad, T (2015), On conformable fractional calculus, Journal of Computational and Applied Mathematics 279, pp. 57–66.
  2. Anderson, D. R. (2016), Taylor’s formula and integral inequalities for conformable fractional deriva- tives, Contributions in Mathematics and Engineering, in Honor of Constantin Caratheodory, Springer, New York.
  3. Hammad M. A. and Khalil R. (2014), Conformable fractional heat differential equations, International Journal of Differential Equations and Applications 13( 3), pp. 177-183.
  4. Hammad M. A. and Khalil R. (2014), Abel’s formula and wronskian for conformable fractional differ- ential equations, International Journal of Differential Equations and Applications 13(3), pp. 177-183.
  5. Iyiola O.S.and Nwaeze E.R.(2016), Some new results on the new conformable fractional calculus with application using D’Alambert approach, Progr. Fract. Differ. Appl., 2(2), pp.115-122.
  6. Khalil R., Al horani M., Yousef A. and Sababheh M.(2014), A new definition of fractional derivative, Journal of Computational Apllied Mathematics, 264, pp. 65-70.
  7. Katugampola U.N. (2011), New approach to a generalized fractional integral, Appl. Math. Comput., 218(3), pp. 860–865.
  8. Katugampola U.N. (2014), New approach to generalized fractional derivatives, B. Math. Anal. App., 6(4), pp. 1–15.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

M. Z. Sarıkaya This is me

H. Budak This is me

H. Usta This is me

Publication Date

December 1, 2019

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2019 Volume: 9 Number: 4

APA
Sarıkaya, M. Z., Budak, H., & Usta, H. (2019). ON GENERALIZED THE CONFORMABLE FRACTIONAL CALCULUS. TWMS Journal of Applied and Engineering Mathematics, 9(4), 792-799. https://izlik.org/JA53BW54AJ
AMA
1.Sarıkaya MZ, Budak H, Usta H. ON GENERALIZED THE CONFORMABLE FRACTIONAL CALCULUS. JAEM. 2019;9(4):792-799. https://izlik.org/JA53BW54AJ
Chicago
Sarıkaya, M. Z., H. Budak, and H. Usta. 2019. “ON GENERALIZED THE CONFORMABLE FRACTIONAL CALCULUS”. TWMS Journal of Applied and Engineering Mathematics 9 (4): 792-99. https://izlik.org/JA53BW54AJ.
EndNote
Sarıkaya MZ, Budak H, Usta H (December 1, 2019) ON GENERALIZED THE CONFORMABLE FRACTIONAL CALCULUS. TWMS Journal of Applied and Engineering Mathematics 9 4 792–799.
IEEE
[1]M. Z. Sarıkaya, H. Budak, and H. Usta, “ON GENERALIZED THE CONFORMABLE FRACTIONAL CALCULUS”, JAEM, vol. 9, no. 4, pp. 792–799, Dec. 2019, [Online]. Available: https://izlik.org/JA53BW54AJ
ISNAD
Sarıkaya, M. Z. - Budak, H. - Usta, H. “ON GENERALIZED THE CONFORMABLE FRACTIONAL CALCULUS”. TWMS Journal of Applied and Engineering Mathematics 9/4 (December 1, 2019): 792-799. https://izlik.org/JA53BW54AJ.
JAMA
1.Sarıkaya MZ, Budak H, Usta H. ON GENERALIZED THE CONFORMABLE FRACTIONAL CALCULUS. JAEM. 2019;9:792–799.
MLA
Sarıkaya, M. Z., et al. “ON GENERALIZED THE CONFORMABLE FRACTIONAL CALCULUS”. TWMS Journal of Applied and Engineering Mathematics, vol. 9, no. 4, Dec. 2019, pp. 792-9, https://izlik.org/JA53BW54AJ.
Vancouver
1.M. Z. Sarıkaya, H. Budak, H. Usta. ON GENERALIZED THE CONFORMABLE FRACTIONAL CALCULUS. JAEM [Internet]. 2019 Dec. 1;9(4):792-9. Available from: https://izlik.org/JA53BW54AJ