Research Article

An Application of an Operator Associated with Generalized Mittag-Leffler Function

Volume: 7 Number: 1 April 15, 2019
EN

An Application of an Operator Associated with Generalized Mittag-Leffler Function

Abstract

The main object of this paper is to give an application of an operator associated with generalized Mittag-Leffler function in the unit disk $% \mathcal{U}=\{z\in \mathbb{C}:\left\vert z\right\vert <1\}$ to the differential inequalities.

Keywords

References

  1. [1] A. A. Attiya, Some Applications of Mittag-Leffler Function in the Unit Disk, Filomat 30:7 (2016), 2075–2081.
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  3. [3] B. A. Frasin, Starlikeness and convexity of integral operators involving Mittag-Leffler functions, TWMS Journal of Pure and Applied Mathematics, in press.
  4. [4] M. Garg, P. Manohar and S.L. Kalla, A Mittag-Leffler-type function of two variables. Integral Transforms Spec. Funct. 24 (2013), no. 11, 934–944.
  5. [5] V. Kiryakova, Generalized fractional calculus and applications. Pitman Research Notes in Mathematics Series, 301. Longman Scientific & Technical, Harlow; copublished in the United States with John Wiley & Sons, Inc., New York, 1994.
  6. [6] V. Kiryakova, Multiple (multiindex) Mittag-Leffler functions and relations to generalized fractional calculus. Higher transcendental functions and their applications, J. Comput. Appl. Math. 118 (2000), no. 1-2, 241–259.
  7. [7] V. Kiryakova, The multi-index Mittag-Leffler functions as an important class of special functions of fractional calculus, Comput. Math. Appl. 59 (2010), no. 5, 1885–1895.
  8. [8] F. Mainardia and R. Gorenflo, On Mittag-Leffler-type functions in fractional evolution processes. Higher transcendental functions and their applications. J. Comput. Appl. Math. 118 (2000), no. 1-2, 283–299.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Publication Date

April 15, 2019

Submission Date

January 20, 2018

Acceptance Date

March 18, 2019

Published in Issue

Year 2019 Volume: 7 Number: 1

APA
Frasin, B. (2019). An Application of an Operator Associated with Generalized Mittag-Leffler Function. Konuralp Journal of Mathematics, 7(1), 199-202. https://izlik.org/JA46NN69LR
AMA
1.Frasin B. An Application of an Operator Associated with Generalized Mittag-Leffler Function. Konuralp J. Math. 2019;7(1):199-202. https://izlik.org/JA46NN69LR
Chicago
Frasin, Basem. 2019. “An Application of an Operator Associated With Generalized Mittag-Leffler Function”. Konuralp Journal of Mathematics 7 (1): 199-202. https://izlik.org/JA46NN69LR.
EndNote
Frasin B (April 1, 2019) An Application of an Operator Associated with Generalized Mittag-Leffler Function. Konuralp Journal of Mathematics 7 1 199–202.
IEEE
[1]B. Frasin, “An Application of an Operator Associated with Generalized Mittag-Leffler Function”, Konuralp J. Math., vol. 7, no. 1, pp. 199–202, Apr. 2019, [Online]. Available: https://izlik.org/JA46NN69LR
ISNAD
Frasin, Basem. “An Application of an Operator Associated With Generalized Mittag-Leffler Function”. Konuralp Journal of Mathematics 7/1 (April 1, 2019): 199-202. https://izlik.org/JA46NN69LR.
JAMA
1.Frasin B. An Application of an Operator Associated with Generalized Mittag-Leffler Function. Konuralp J. Math. 2019;7:199–202.
MLA
Frasin, Basem. “An Application of an Operator Associated With Generalized Mittag-Leffler Function”. Konuralp Journal of Mathematics, vol. 7, no. 1, Apr. 2019, pp. 199-02, https://izlik.org/JA46NN69LR.
Vancouver
1.Basem Frasin. An Application of an Operator Associated with Generalized Mittag-Leffler Function. Konuralp J. Math. [Internet]. 2019 Apr. 1;7(1):199-202. Available from: https://izlik.org/JA46NN69LR
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