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Generalized Fractional Integral Operators Involving Mittag-Leffler Function [PDF]
Abstract and Applied Analysis, 2018 The aim of this paper is to study various properties of Mittag-Leffler (M-L) function. Here we establish two theorems which give the image of this M-L function under the generalized fractional integral operators involving Fox’s H-function as kernel ...
D. L. Suthar, Hafte Amsalu
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On a new class of integrals involving generalized Mittag-Leffler function [PDF]
Surveys in Mathematics and its Applications, 2016 In this paper, we aim at establishing two generalized integral formulae involving generalized Mittag-Leffler function which are expressed in terms of the generalized hypergeometric function and generalized (Wright) hypergeometric function.
Naresh Menaria +2 more
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Note on generalized Mittag-Leffler function [PDF]
SpringerPlus, 2016 The present paper deals with the study of a generalized Mittag-Leffler function and associated fractional operator. The operator has been discussed in the space of Lebesgue measurable functions. The composition with Riemann-Liouville fractional integration operator has been obtained.
Desai, Rachana +2 more
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On Generalized Mittag–Leffler‐Type Functions of Two Variables
Mathematical Methods in the Applied Sciences, 2023 ABSTRACT We aim to study the Mittag–Leffler‐type functions of two variables by analogy with the Appell hypergeometric functions of two variables. Moreover, we targeted functions as limiting cases of the functions and studied certain properties, as well.
Anvar Hasanov, Erkinjon Karimov
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On some properties of the generalized Mittag-Leffler function [PDF]
SpringerPlus, 2013 This paper deals with the study of a generalized function of Mittag-Leffler type. Various properties including usual differentiation and integration, Euler(Beta) transforms, Laplace transforms, Whittaker transforms, generalized hypergeometric series form with their several special cases are obtained and relationship with Wright hypergeometric function ...
Khan, Mumtaz, Ahmed, Shakeel
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Fractional Calculus of the Generalized Mittag-Leffler Type Function [PDF]
International Scholarly Research Notices, 2014 We introduce and study a new function called R-function, which is an extension of the generalized Mittag-Leffler function. We derive the relations that exist between the R-function and Saigo fractional calculus operators. Some results derived by Samko et al. (1993), Kilbas (2005), Kilbas and Saigo (1995), and Sharma and Jain (2009) are special cases of
Dinesh Kumar, Sunil Kumar
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Some properties of analytic functions involving the Mittag-Leffler function [PDF]
, 2021 Mittag-Leffler fonksiyonu 1903 yılında İsveçli matematikçi Magnus Gustav Mittag-Leffler tarafından tanımlanmıştır.Daha sonra, araştırmacılar farklı parametreler ilave ederek bu fonksiyonu genelleştirmiştir. 2015 yılında, Bansal vePrajabat, Mittag-Leffler
Mert, Oya, Çetinkaya, Asena
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Robust generalized Mittag-Leffler synchronization of fractional order neural networks with discontinuous activation and impulses [PDF]
, 2018 Fractional order system is playing an increasingly important role in terms of both theory and applications. In this paper we investigate the global existence of Filippov solutions and the robust generalized Mittag-Leffler synchronization of fractional ...
Cao, Jinde +11 more
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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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