Research Article

Fuzzy Differential Subordinations for Analytic Functions Involving Wanas Operator and Some Applications in Fractional Calculus

Volume: 2 Number: 1 July 30, 2020
EN

Fuzzy Differential Subordinations for Analytic Functions Involving Wanas Operator and Some Applications in Fractional Calculus

Abstract

The purpose of the present paper is to establish some properties of fuzzy subordination of analytic functions associated with Wanas differential operator which defined in the open unit disk. Further, we give some applications in fractional derivative.

Keywords

References

  1. F. M. Al-Oboudi, On univalent functions defined by a generalized Salagean operator, Int. J. Math. Math. Sci., 27(2004), 1429–1436.
  2. N. E. Cho and T. H. Kim, Multiplier transformations and strongly close-to-convex functions, Bull. Korean Math. Soc., 40(3)(2003), 399-410.
  3. N. E. Cho and H. M. Srivastava, Argument estimates of certain analytic functions defined by a class of multiplier transformations, Math. Comput. Modelling, 37(1-2)(2003), 39-49.
  4. S. P. Goyal and R. Goyal, On a class of multivalent functions defined by a generalized Ruscheweyh derivatives involving a general fractional derivative operator, J. Indian Acad. Math., 27(2)(2005), 439-456.
  5. A. Haydar, On fuzzy differential subordination, Mthematica Moravica, 19(1)(2015), 123-129.
  6. A. Alb Lupaş, A note on special fuzzy differential subordinations using generalized Sălăgean operator and Ruscheweyh derivative, J. Comp. Anal. Appl., 15(8)(2013), 1476-1483.
  7. A. Alb Lupaş, A note on special fuzzy differential subordinations using multiplier transformation, Analele Universitatii Oradea, Fasc. Matematica, XXIII(2)(2016), 183-191.
  8. A. Alb Lupaş, On special fuzzy differential subordinations using generalized Salagean operator and Ruscheweyh derivative, J. Adv. Appl. Comp. Math., 4(2017), 26-34.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

July 30, 2020

Submission Date

November 30, 2019

Acceptance Date

June 2, 2020

Published in Issue

Year 2020 Volume: 2 Number: 1

APA
Kareem, A. (2020). Fuzzy Differential Subordinations for Analytic Functions Involving Wanas Operator and Some Applications in Fractional Calculus. Ikonion Journal of Mathematics, 2(1), 1-9. https://izlik.org/JA58JT46YD
AMA
1.Kareem A. Fuzzy Differential Subordinations for Analytic Functions Involving Wanas Operator and Some Applications in Fractional Calculus. ikjm. 2020;2(1):1-9. https://izlik.org/JA58JT46YD
Chicago
Kareem, Abbas. 2020. “Fuzzy Differential Subordinations for Analytic Functions Involving Wanas Operator and Some Applications in Fractional Calculus”. Ikonion Journal of Mathematics 2 (1): 1-9. https://izlik.org/JA58JT46YD.
EndNote
Kareem A (July 1, 2020) Fuzzy Differential Subordinations for Analytic Functions Involving Wanas Operator and Some Applications in Fractional Calculus. Ikonion Journal of Mathematics 2 1 1–9.
IEEE
[1]A. Kareem, “Fuzzy Differential Subordinations for Analytic Functions Involving Wanas Operator and Some Applications in Fractional Calculus”, ikjm, vol. 2, no. 1, pp. 1–9, July 2020, [Online]. Available: https://izlik.org/JA58JT46YD
ISNAD
Kareem, Abbas. “Fuzzy Differential Subordinations for Analytic Functions Involving Wanas Operator and Some Applications in Fractional Calculus”. Ikonion Journal of Mathematics 2/1 (July 1, 2020): 1-9. https://izlik.org/JA58JT46YD.
JAMA
1.Kareem A. Fuzzy Differential Subordinations for Analytic Functions Involving Wanas Operator and Some Applications in Fractional Calculus. ikjm. 2020;2:1–9.
MLA
Kareem, Abbas. “Fuzzy Differential Subordinations for Analytic Functions Involving Wanas Operator and Some Applications in Fractional Calculus”. Ikonion Journal of Mathematics, vol. 2, no. 1, July 2020, pp. 1-9, https://izlik.org/JA58JT46YD.
Vancouver
1.Abbas Kareem. Fuzzy Differential Subordinations for Analytic Functions Involving Wanas Operator and Some Applications in Fractional Calculus. ikjm [Internet]. 2020 Jul. 1;2(1):1-9. Available from: https://izlik.org/JA58JT46YD