Results 51 to 60 of about 20,113 (252)
Geometric Properties of Normalized Mittag–Leffler Functions [PDF]
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
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A Comprehensive Study on the Zeros of the Two-Parameter Mittag-Leffler Function [PDF]
The Mittag-Leffler function appears as an analytical solution of some fractional differential equations. The behavior of the zeros of the Mittag-Leffler function, especially their asymptotic distribution, plays a fundamental role in the study of ...
Farnoosh Abooali +1 more
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This article uses fractional calculus to create novel links between the well-known Mittag-Leffler functions of one, two, three, and four parameters.
F. Ghanim +2 more
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Some properties relating to the Mittag–Leffler function of two variables
An attempt is made here to study the Mittag–Leffler function with two variables. Its various properties including integral and operational relationships with other known Mittag–Leffler functions of one variable, pure and differential recurrence relations,
M. Bin-Saad +2 more
semanticscholar +1 more source
Fractional calculus of generalized p-k-Mittag-Leffler function using Marichev–Saigo–Maeda operators
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
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Functional Inequalities for the Mittag–Leffler Functions
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mehrez K., Sitnik S.M.
openaire +4 more sources
On Some Operators Involving Hadamard Derivatives [PDF]
In this paper we introduce a novel Mittag--Leffler-type function and study its properties in relation to some integro-differential operators involving Hadamard fractional derivatives or Hyper-Bessel-type operators.
Garra, Roberto, Polito, Federico
core +1 more source
Fractional derivatives of the generalized Mittag-Leffler functions
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
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Modified Fractional Power Series Method for solving fractional partial differential equations
The literature revealed that the Fractional Power Series Method (FPSM), which uses the Mittag-Leffler function in one parameter, has been gainfully applied in obtaining the solutions of fractional partial differential equations (FPDEs) in one dimension ...
Isaac Addai +3 more
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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
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