Results 41 to 50 of about 19,869 (230)
Grüss Type k-Fractional Integral Operator Inequalities and Allied Results
International Journal of Analysis and Applications, 2023 This paper aims to derive fractional Grüss type integral inequalities for generalized k-fractional integral operators with Mittag-Leffler function in the kernel.
Ghulam Farid +5 more
doaj +1 more source
Some Remarks on Estimate of Mittag-Leffler Function
Journal of Function Spaces, 2019 The estimate of Mittag-Leffler function has been widely applied in the dynamic analysis of fractional-order systems in some recently published papers. In this paper, we show that the estimate for Mittag-Leffler function is not correct.
Jia Jia +3 more
doaj +1 more source
Fractional calculus of generalized p-k-Mittag-Leffler function using Marichev–Saigo–Maeda operators
Arab Journal of Mathematical Sciences, 2019 In this paper, we establish fractional integral and derivative formulas involving the generalized p-k-Mittag-Leffler function by using Marichev–Saigo–Maeda type fractional integral and derivative operators.
M. Kamarujjama, N.U. Khan, Owais Khan
doaj +1 more source
Geometric Properties of Normalized Mittag–Leffler Functions [PDF]
Symmetry, 2019 The aim of this paper is to investigate certain properties such as convexity of order μ , close-to-convexity of order 1 + μ /2 and starlikeness of normalized Mittag–Leffler function. We use some inequalities to prove our results. We also discuss the close-to-convexity of Mittag–Leffler functions with respect to certain starlike functions ...
Noreen, Saddaf +3 more
openaire +2 more sources
Functional Inequalities for the Mittag–Leffler Functions
Results in Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mehrez K., Sitnik S.M.
openaire +4 more sources
Mathematics, 2015 In a joint paper with Srivastava and Chopra, we introduced far-reaching generalizations of the extended Gammafunction, extended Beta function and the extended Gauss hypergeometric function.
Rakesh K. Parmar
doaj +1 more source
Differential Subordination and Superordination Results Associated with Mittag–Leffler Function
Mathematics, 2021 In this paper, we derive a number of interesting results concerning subordination and superordination relations for certain analytic functions associated with an extension of the Mittag–Leffler function.
A. A. Attiya +3 more
semanticscholar +1 more source
Fractional derivatives of the generalized Mittag-Leffler functions
Advances in Difference Equations, 2018 In this paper, we derive the compositions of the fractional derivatives with the Shukla function, a four-parameter Mittag-Leffler function. We investigate and compare the difference between the Riemann–Liouville and Caputo derivatives of the generalized ...
Denghao Pang +2 more
doaj +1 more source
On a Lyapunov-type inequality and the zeros of a certain Mittag–Leffler function
Journal of Mathematical Analysis and Applications, 2014 R. Ferreira
semanticscholar +3 more sources
Mathematical methods in the applied sciences, 2021 A number of Mittag–Leffler functions are defined in the literature which have many applications across various areas of physical, biological, and applied sciences and are used in solving problems of fractional order differential, integral, and difference
R. Agarwal +3 more
semanticscholar +1 more source