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Fractional derivatives of the generalized Mittag-Leffler functions [PDF]
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
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Self-similar Cauchy problems and generalized Mittag-Leffler functions [PDF]
Fractional Calculus and Applied Analysis, 2019 By observing that the fractional Caputo derivative can be expressed in terms of a multiplicative convolution operator, we introduce and study a class of such operators which also have the same self-similarity property as the Caputo derivative. We proceed
Patie, P., Srapionyan, A.
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Some Unified Integrals for Generalized Mittag-Leffler Functions [PDF]
Axioms, 2021 Here, we ascertain generalized integral formulas concerning the product of the generalized Mittag-Leffler function. These integral formulas are described in the form of the generalized Lauricella series.
Prakash Singh +2 more
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Partial sums of generalized q-Mittag-Leffler functions
AIMS Mathematics, 2020 In the present investigation, our main aim is to give lower bounds for the ratio of some normalized q-Mittag-Leffler function and their sequences of partial sums. We consider various corollaries and consequences of our main results.
Muhammad Sabil Ur Rehman +4 more
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Fractional operators with generalized Mittag-Leffler k-function [PDF]
Advances in Difference Equations, 2019 In this paper, our main aim is to deal with two integral transforms involving the Gauss hypergeometric functions as their kernels. We prove some composition formulas for such generalized fractional integrals with Mittag-Leffler k-function.
Shahid Mubeen, Rana Safdar Ali
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Turán Type Inequalities for Classical and Generalized Mittag-Leffler Functions [PDF]
Analysis Mathematica, 2016 In this paper some Turán type inequalities for classical and generalized Mittag-Leffler functions are considered. The method is based on proving monotonicity for the special ratio of sections for series of such functions. Some applications are considered
S. Sitnik, K. Mehrez
semanticscholar +5 more sources
Fractal and Fractional, 2023 Using the results of third-order differential subordination, we introduce certain families of admissible functions and discuss some applications of third-order differential subordination for meromorphic functions associated with a linear operator ...
Adel A. Attiya +2 more
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Fractal and FractionalThis manuscript focuses on new generalizations of q-Mittag-Leffler functions, called generalized hyper q-Mittag-Leffler functions, and discusses their regions of convergence and various fractional q operators.
Mohammed Z. Alqarni +2 more
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Journal of Mathematics, 2021 In this paper, generalized versions of Hadamard and Fejér–Hadamard type fractional integral inequalities are obtained. By using generalized fractional integrals containing Mittag-Leffler functions, some well-known results for convex and harmonically ...
M. Yussouf +3 more
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SOME INTEGRAL TRANSFORM OF GENERALIZED MITTAG-LEFFLER FUNCTIONS [PDF]
International Journal of Pure and Apllied Mathematics, 2016 This paper presents integral transform of Generalized Mittag-Leffler function which plays an important role to solve the differential equations and also some relations and results related to this generalized Mittag-Leffler function.
B. Sontakke +2 more
semanticscholar +2 more sources