The Extended Mittag-Leffler Function Via Fractional Calculus
No Thumbnail Available
Date
2017
Journal Title
Journal ISSN
Volume Title
Publisher
int Scientific Research Publications
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Top 1%
Influence
Top 10%
Popularity
Top 10%
Abstract
In this study, our main attempt is to introduce fractional calculus (fractional integral and differential) operators which contain the following new family of extended Mittag-Leffler function: E-alpha,beta(gamma;q,c) (z) = Sigma(infinity)(n=0) B-p (gamma + nq, c - gamma)(c)(nq) z(n)/B(gamma, c - gamma)Gamma(alpha n + beta) n!' (z,beta,gamma is an element of C), as its kernel. We also investigate a certain number of their consequences containing the said function in their kernels. (C) 2017 All rights reserved.
Description
Rahman, Gauhar/0000-0002-2728-7537; Arshad, Muhammad/0000-0003-3041-328X
Keywords
Fractional Integration, Differential Operator, Mittag-Leffler Function, Lebesgue Measurable Function, Extended Mittag-Leffler Function, Mittag-Leffler function, extended Mittag-Leffler function, Other functions defined by series and integrals, Generalized hypergeometric series, \({}_pF_q\), Fractional derivatives and integrals, Lebesgue measurable function, differential operator, Functions of one variable, fractional integration
Turkish CoHE Thesis Center URL
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Rahman, Gauhar...et al. (2017). "The extended Mittag-Leffler function via fractional calculus", Journal Of Nonlinear Sciences And Applications, Vol.10, No.8, pp.4244-4253.
WoS Q
Scopus Q
OpenCitations Citation Count
68
Source
The Journal of Nonlinear Sciences and Applications
Volume
10
Issue
8
Start Page
4244
End Page
4253
PlumX Metrics
Captures
Mendeley Readers : 10
Web of Science™ Citations
88
checked on Feb 03, 2026
Page Views
1
checked on Feb 03, 2026
Google Scholar™
