Results 41 to 50 of about 11,816 (109)

Integro-differential diffusion equation for continuous time random walk

, 2010
In this paper we present an integro-differential diffusion equation for continuous time random walk that is valid for a generic waiting time probability density function.
A. Carpinteri, A. Erdelyi, H. Risken, K. G. Wang, Kwok Sau Fa, R. Kubo   +5 more
core   +1 more source

Fractional Minkowski-Type Integral Inequalities via the Unified Generalized Fractional Integral Operator

Journal of Function Spaces, 2022
This paper is aimed at presenting the unified integral operator in its generalized form utilizing the unified Mittag-Leffler function in its kernel. We prove the boundedness of this newly defined operator.
Tingmei Gao, Ghulam Farid, Ayyaz Ahmad, Waewta Luangboon, Kamsing Nonlaopon   +4 more
doaj   +1 more source

Finite-Time Stability of Impulsive Fractional Differential Equations with Pure Delays

Axioms, 2023
This paper introduces a novel concept of the impulsive delayed Mittag–Leffler-type vector function, an extension of the Mittag–Leffler matrix function.
Tingting Xie, Mengmeng Li
doaj   +1 more source

On Fractional Helmholtz Equations [PDF]

, 2010
MSC 2010: 26A33, 33E12, 33C60, 35R11In this paper we derive an analytic solution for the fractional Helmholtz equation in terms of the Mittag-Leffler function.
Samuel, M., Thomas, Anitha
core  

Theorem for Series in Three-Parameter Mittag-Leffler Function [PDF]

, 2010
Mathematics Subject Classification 2010: 26A33, 33E12.The new result presented here is a theorem involving series in the three-parameter Mittag-Leffler function. As a by-product, we recover some known results and discuss corollaries.
Camargo, Rubens, Oliveira, Edmundo, Soubhia, Ana, Vaz, Jayme   +3 more
core  

Anomalous Rotational Relaxation: A Fractional Fokker-Planck Equation Approach

, 2005
In this study we obtained analytically relaxation function in terms of rotational correlation functions based on Brownian motion for complex disordered systems in a stochastic framework.
A. Erdelyi, E. N. Ivanov, Ekrem Aydıner, J. C. Maxwell, J. H. Ro, J. P. Bouchaud, J. R. McConnell, K. B. Oldham, P. Debye, R. Kohlrausch, S. Dattagupta, W. F. Brown   +11 more
core   +2 more sources

Tur\'an type inequalities for regular Coulomb wave functions

, 2015
Tur\'an, Mitrinovi\'c-Adamovi\'c and Wilker type inequalities are deduced for regular Coulomb wave functions. The proofs are based on a Mittag-Leffler expansion for the regular Coulomb wave function, which may be of independent interest.
Baricz, Árpád
core   +1 more source

Exploring Fractional $q$-Kinetic Equations via Generalized $q$-Mittag-Leffler Type Functions: Applications and Analysis [PDF]

Sahand Communications in Mathematical Analysis
In this study, the $q$-calculus is employed to introduce a novel generalization of the Mittag-Leffler function. In the following, we investigate a novel $q$-exponential function with five parameters, resulting in the generalized $q$-Mittag-Leffler ...
Mulugeta Dawud Ali, Dayalal Suthar, Sunil Purohit   +2 more
doaj   +1 more source

Further results on Mittag-Leffler synchronization of fractional-order coupled neural networks

Advances in Difference Equations, 2021
In this paper, we focus on the synchronization of fractional-order coupled neural networks (FCNNs). First, by taking information on activation functions into account, we construct a convex Lur’e–Postnikov Lyapunov function.
Fengxian Wang, Fang Wang, Xinge Liu
doaj   +1 more source

Asymptotic Expansion of the Modified Exponential Integral Involving the Mittag-Leffler Function

Mathematics, 2020
We consider the asymptotic expansion of the generalised exponential integral involving the Mittag-Leffler function introduced recently by Mainardi and Masina [Fract. Calc. Appl. Anal. 21 (2018) 1156−1169].
Richard Paris
doaj   +1 more source