Results 91 to 100 of about 1,345 (201)
Some Fractional Calculus Results Pertaining To Mittag-Leffler Type Functions
In this paper, we study the generalized fractional operators pertaining to the generalized Mittag-Leffler function and multi-index Mittag-Leffler function.
Jagdev Singh +2 more
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On applications of Caputo k-fractional derivatives
This research explores Caputo k-fractional integral inequalities for functions whose nth order derivatives are absolutely continuous and possess Grüss type variable bounds. Using Chebyshev inequality (Waheed et al. in IEEE Access 7:32137–32145, 2019) for
Ghulam Farid +5 more
doaj +1 more source
Studying the Stability of the ψ-Hilfer Fractional Differential System
This paper devotes to the study on the stability and decay of solution to fractional differential system involving the ψ-Hilfer fractional derivative of order α∈0,1 and type β∈0,1.
Jinping Yang, Zhiqiang Li
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Generating a New Convolution Function From Mittag‐Leffler and Koebe Functions
This paper describes the generation of a new function using the convolution process for a Mittag‐Leffler function of one parameter α and a Koebe function. The resulting function is characterized by many properties, the most important of which is that it is convergent. This paper finds many recursive relations, finds functions that are difficult to find
Ali Halil Ghathith +2 more
openaire +2 more sources
Integral transforms of the generalized Mittag-Leffler function
This paper is devoted to study integral transforms of extended version of generalized MittagLeffler function introduced by Prajapati et al [9].
Aneela Nadir, Adnan Khan, Muhammed Kalim
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Mittag - Leffler function distribution - a new generalization of hyper-Poisson distribution [PDF]
In this paper a new generalization of the hyper-Poisson distribution is proposed using the Mittag-Leffler function. The hyper-Poisson, displaced Poisson, Poisson and geometric distributions among others are seen as particular cases. This Mittag-Leffler function distribution (MLFD) belongs to the generalized hypergeometric and generalized power series ...
Subrata Chakraborty, S. H. Ong
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Explore the soliton solutions, stability, and chaotic characteristics of the M fractional (3+1)‐dimensional generalized B‐type Kadomtsev–Petviashvili (gBKP) equation, where a Galilean transformation is performed to get the related system of equations.
Md. Habibul Bashar +5 more
wiley +1 more source
A study of integral formulas for the generalized p-k-Mittag–Leffler function
This paper presents a comprehensive system of integration formulas for the generalized p-k-Mittag–Leffler function. By extending and synthesizing multiple mathematical results through the properties of the k-Gamma function, we derive general integral ...
Anu Arora, Shilpi Jain
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A general approach to the linear stability of viscoelastic shear‐flows
Abstract The present work provides an in‐depth analysis of the linear stability theory of viscoelastic shear‐flows, based upon a constitutive equation of the fading memory type. The particular model considered herein was introduced by Kenneth Walters through the integration of classical rate‐type fluids in a convected frame (Walters 1962).
Johannes Conrad, Martin Oberlack
wiley +1 more source
Caputo Type Fractional Differentiation for the Extended Generalized Mittag-Leffler Function
The goal of this paper is to develop some differential equation formulas for the extended generalized Mittag-Leffler function (EGMLF) using Caputo type Marichev-Saigo-Maeda (MSM) fractional derivative operators involving the third Appell function as ...
UÇAR, FARUK
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