Results 11 to 20 of about 192 (182)
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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Self-Similar Cauchy Problems and Generalized Mittag-Leffler Functions [PDF]
Fractional Calculus and Applied Analysis, 2021 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 by identifying a subclass which is in bijection with the set of Bernstein functions and we provide ...
Patie, Pierre, Srapionyan, Anna
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Integral equations involving generalized Mittag-Leffler function
Ukrains’kyi Matematychnyi Zhurnal, 2020 UDC 517.5 The paper deals with solving the integral equation with a generalized Mittag-Leffler function E α , β γ , q ( z ) that defines a kernel using a fractional integral operator. The existence of the solution is justified and necessary conditions on the integral equation admiting a solution are ...
Rachana Desai +2 more
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Generalization of Beta functions in terms of Mittag-Leffler function [PDF]
Frontiers in Scientific Research and Technology, 2020 In this paper, we give a new generalization of extended beta functions by using generalized Mittag Leffler functions. We investigate its properties and its integral representations. In addition, we establish the generalization of extended hypergeometric and Confluent hypergeometric functions by using the newly extended beta function. Some properties of
Karima Oraby +5 more
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INTEGRAL TRANSFORM WITH THE EXTENDED GENERALIZED MITTAG-LEFFLER FUNCTION
More Progresses in Analysis, 2006 he paper is devoted to the study of the integral transform containing the special function å((á, â) n ;z) generalizing the Mittag‐Leffler type function in the space £v,r (1 ≤ r ≤ 8, í ∈ R) of Lebesgue measurable functions on R+ = (0,+8) such that ‖ƒ‖ v,r < 8, where Mapping properties such as the boundedness, the range, the representation and the ...
Kilbas, A. A., Koroleva, A. A.
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A Generalized Convexity and Inequalities Involving the Unified Mittag–Leffler Function
, 2023 This article aims to obtain inequalities containing the unified Mittag–Leffler function which give bounds of integral operators for a generalized convexity. These findings provide generalizations and refinements of many inequalities. By setting values of
Ferdous M. O. Tawfiq +4 more
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Fractional derivatives of the generalized Mittag-Leffler functions [PDF]
Advances in Difference Equations, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Denghao Pang +2 more
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Geometric Studies on Mittag-Leffler Type Function Involving a New Integrodifferential Operator
, 2022 The generalized exponential function in a complex domain is called the Mittag-Leffler function (MLF). The implementations of MLF are significant in diverse areas of science. Over the past few decades, MLF and its analysis with generalizations have become
Marwan Al-Momani +3 more
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Biased Continuous-Time Random Walks with Mittag-Leffler Jumps
, 2020 We construct admissible circulant Laplacian matrix functions as generators for strictly increasing random walks on the integer line. These Laplacian matrix functions refer to a certain class of Bernstein functions.
Polito, Federico +5 more
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Further Generalizations of Some Fractional Integral Inequalities
, 2023 This paper aims to establish generalized fractional integral inequalities for operators containing Mittag–Leffler functions. By applying (α,h−m)−p-convexity of real valued functions, generalizations of many well-known inequalities are obtained.
Hafsa Yasmeen +3 more
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