Results 81 to 90 of about 19,869 (230)
Exploring Fractional $q$-Kinetic Equations via Generalized $q$-Mittag-Leffler Type Functions: Applications and Analysis [PDF]
Sahand Communications in Mathematical AnalysisIn 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 +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
Comments on the Properties of Mittag-Leffler Function
, 2017 The properties of Mittag-Leffler function is reviewed within the framework of an umbral formalism. We take advantage from the formal equivalence with the exponential function to define the relevant semigroup properties.
Dattoli, Giuseppe +4 more
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A fractional residue theorem and its applications in calculating real integrals
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract As part of an ongoing effort to fractionalise complex analysis, we present a fractional version of the residue theorem, involving pseudo‐residues calculated at branch points. Since fractional derivatives are non‐local and fractional powers necessitate branch cuts, each pseudo‐residue depends on a line segment in the complex plane rather than a
Egor Zaytsev, Arran Fernandez
wiley +1 more source
On the solutions of certain fractional kinetic equations involving k-Mittag-Leffler function
Advances in Differential Equations, 2018 The aim of the present paper is to develop a new generalized form of the fractional kinetic equation involving a generalized k-Mittag-Leffler function Ek,ζ,ηγ,ρ(⋅)$E^{\gamma,\rho}_{k,\zeta,\eta}(\cdot)$.
P. Agarwal +4 more
semanticscholar +1 more source
Extension of Mittag-Leffler function
, 2017 In this paper, we present an extension of Mittag-Leffler function by using the extension of beta functions ( zergin et al. in J. Comput. Appl. Math. 235 (2011), 4601-4610) and obtain some integral representation of this newly defined function.
Rahman, G. +3 more
openaire +2 more sources
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
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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
Fractional calculus and continuous-time finance II: the waiting-time distribution
, 2000 We complement the theory of tick-by-tick dynamics of financial markets based on a Continuous-Time Random Walk (CTRW) model recently proposed by Scalas et al., and we point out its consistency with the behaviour observed in the waiting-time distribution ...
Butzer +27 more
core +3 more sources
Engineering Reports, Volume 8, Issue 3, March 2026.We develop and analyze a fractional‐order avian influenza chicken model for chicken farms, providing existence, uniqueness, and stability results. With real Bangladesh farm data and 80% vaccine efficacy, numerical results show that combining vaccination and treatment can control disease spread by reducing the basic reproduction number below one ...
Muhammad Altaf Khan +4 more
wiley +1 more source