Results 11 to 20 of about 167 (138)
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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New Extended Three-Variable Mittag-Leffler Type Functions
Vestnik KRAUNC: Fiziko-Matematičeskie NaukiThis article presents a systematic investigation of a new class of Mittag-Leffler-type functions in three variables. These functions are a natural and significant extension of the classical Mittag-Leffler function, and are constructed to correspond ...
Hasanov, A., Yuldashova, H.A.
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Integral Representations and Algebraic Decompositions of the Fox-Wright Type of Special Functions
Fractal and Fractional, 2019 The manuscript surveys the special functions of the Fox-Wright type. These functions are generalizations of the hypergeometric functions. Notable representatives of the type are the Mittag-Leffler functions and the Wright function.
Dimiter Prodanov
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Fractal and FractionalIn this paper, we evaluate a general class of finite integrals involving the error function, generalized Mittag-Leffler functions, and incomplete Aleph functions. The main result provides a unified framework that extends several known formulas related to
Dinesh Kumar +4 more
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A General Class of Multivariable Mittag–Leffler Function and Its Associated Applications
Abstract and Applied AnalysisIn this paper, a new class of multivariable special functions and their generalizations is introduced and used to solve generalized fractional differential and kinetic equations.
B. B. Jaimini +4 more
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Mathematics, 2023 In recent years, various qualitative investigations of the properties of differential equations with different types of generalizations of Riemann–Liouville fractional derivatives were studied and stability properties were investigated, usually using ...
Ravi P. Agarwal +2 more
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Open Physics, 2022 The main aim of this article is to study a new generalizations of the Gauss hypergeometric matrix and confluent hypergeometric matrix functions by using two-parameter Mittag–Leffler matrix function.
Jain Shilpi +4 more
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Fractional operators with generalized Mittag-Leffler k-function [PDF]
Advances in Difference Equations, 2019 AbstractIn 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-Lefflerk-function. The results are established in terms of the generalized Wright hypergeometric function. The Euler integralk-
Shahid Mubeen, Rana Safdar Ali
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Partial sums of generalized q-Mittag-Leffler functions
AIMS Mathematics, 2020 En la presente investigación, nuestro objetivo principal es proporcionar límites inferiores para la relación de alguna función q-Mittag-Leffler normalizada y sus secuencias de sumas parciales. Consideramos diversos corolarios y consecuencias de nuestros principales resultados.
Muhammad Sabil Ur Rehman +4 more
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On the generalized fractional integrals of the generalized Mittag-Leffler function [PDF]
SpringerPlus, 2014 In this paper, we employ the generalized fractional calculus operators on the generalized Mittag-Leffler function. Some results associated with generalized Wright function are obtained. Recent results of Chaurasia and Pandey are obtained as special cases.33C45, 47G20, 26A33.
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