Inequalities and Asymptotic Formulae for the Three Parametric Mittag-Leffler Functions [PDF]
, 2012 MSC 2010: 33E12, 30A10, 30D15, 30E15We consider some families of 3-index generalizations of the classical Mittag-Le²er functions and study the behaviour of these functions in domains of the complex plane. First, some inequalities in the complex plane and
Paneva-Konovska, Jordanka
core
Velocity and displacement correlation functions for fractional generalized Langevin equations
, 2012 We study analytically a generalized fractional Langevin equation. General formulas for calculation of variances and the mean square displacement are derived. Cases with a three parameter Mittag-Leffler frictional memory kernel are considered.
Sandev, Trifce (Prof. Dr.) +2 more
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Abstract and Applied Analysis, Volume 2026, Issue 1, 2026.This article focuses on the study of fractional integral operators involving the H―‐function. Two main theorems are established that present new fractional integral formulas associated with the H―‐function. Moreover, several well‐known results related to various special functions can be derived as particular cases by assigning suitable parameter values
S. Chandak +3 more
wiley +1 more source
A General Class of Multivariable Mittag–Leffler Function and Its Associated Applications
In 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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Entropy Optimization, Generalized Logarithms, and Duality Relations. [PDF]
Entropy (Basel), 2022 Plastino AR +3 more
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Introduction to the techniques of the fractional calculus to investigate some models of mathematical physics [PDF]
, 2016 CAPES - COORDENAÇÃO DE APERFEIÇOAMENTO DE PESSOAL DE NÍVEL SUPERIORIn this paper, we resort to the Laplace transform method in order to show its efficiency when approaching some types of fractional differential equations.
Oliveira, E. C. de, Rodrigues, Fabio G.
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Some multiple generating functions involving Mittag-Leffler’s functions
International Journal of Engineering, Science and Technology, 1970 In the paper it will be shown that generating functions of hyper Bessel functions due to Humbert and Delerue can be extended to a new class of generating relations for generalized Mittag-Leffler’s functions. A number of new and known double and multiple generating functions involving the product of classical polynomials and functions are considered as ...
Kamarujjama, M, Khan, NU, Khan, WA
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On a Unification of Generalized Mittag-Leffler Function and Family of Bessel Functions
Advances in Pure Mathematics, 2013 In the present work, a unification of certain functions of mathematical physics is proposed and its properties are studied. The proposed function unifies Lommel function, Struve function, the Bessel-Maitland function and its generalization, Dotsenko function, generalized Mittag-Leffler function etc.
Jyotindra C. Prajapati +2 more
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On asymptotic behaviors and convergence rates related to weak limiting distributions of geometric random sums [PDF]
, 2019 summary:Geometric random sums arise in various applied problems like physics, biology, economics, risk processes, stochastic finance, queuing theory, reliability models, regenerative models, etc. Their asymptotic behaviors with convergence rates become a
Hung, Tran Loc +2 more
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Fractional optimal control strategies for hepatitis B virus infection with cost-effectiveness analysis. [PDF]
Sci Rep, 2023 Dano LB, Koya PR, Keno TD.
europepmc +1 more source