Regularity results for fractional diffusion equations involving fractional derivative with Mittag–Leffler kernel
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DOI: 10.1002/mma.6459
Abstract: This paper studies partial differential equation model with the new general fractional derivatives involving the kernels of the extended Mittag–Leffler type functions. An initial boundary value problem for the anomalous diffusion of fractional order is… read more here.
Keywords: fractional derivative; mittag leffler; derivative mittag; diffusion ... See more keywords
Global Mittag-Leffler Synchronization for Fractional-Order BAM Neural Networks with Impulses and Multiple Variable Delays via Delayed-Feedback Control Strategy
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DOI: 10.1007/s11063-018-9801-0
Abstract: This paper is concerned with the global Mittag-Leffler synchronization schemes for the Caputo type fractional-order BAM neural networks with multiple time-varying delays and impulsive effects. Based on the delayed-feedback control strategy and Lyapunov functional approach,… read more here.
Keywords: synchronization; leffler synchronization; mittag leffler; global mittag ... See more keywords
Finite-Time Mittag-Leffler Stability of Fractional-Order Quaternion-Valued Memristive Neural Networks with Impulses
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DOI: 10.1007/s11063-019-10154-1
Abstract: The finite-time Mittag-Leffler stability for fractional-order quaternion-valued memristive neural networks (FQMNNs) with impulsive effect is studied here. A new mathematical expression of the quaternion-value memductance (memristance) is proposed according to the feature of the quaternion-valued… read more here.
Keywords: quaternion; finite time; order; mittag leffler ... See more keywords
Mittag–Leffler Stability for Impulsive Caputo Fractional Differential Equations
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DOI: 10.1007/s12591-017-0384-4
Abstract: The stability properties of Caputo fractional differential equations with impulses are studied. Both types of impulses, non-instantaneous impulses as well as instantaneous impulses are considered. The two approaches in the literature for the interpretation ofsolutions… read more here.
Keywords: impulsive caputo; mittag leffler; fractional differential; caputo fractional ... See more keywords
Study of Fractional Boundary Value Problem Using Mittag-Leffler Function with Two Point Periodic Boundary Conditions
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DOI: 10.1007/s40819-017-0464-8
Abstract: In this paper, two point periodic boundary value problem of fractional differential equation involving Caputo fractional derivative of order $$2 read more here.
Keywords: point; mittag leffler; periodic boundary; two point ... See more keywords
On the recurrent computation of fractional operator with Mittag-Leffler kernel
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DOI: 10.1016/j.apnum.2020.12.016
Abstract: Abstract The paper considers the problem of computing the values of the Atangana-Baleanu derivative in Caputo sense which arises while solving fractional partial differential equations. In such case the values of the derivative are needed… read more here.
Keywords: atangana baleanu; leffler function; baleanu derivative; recurrent computation ... See more keywords
A globally Mittag-Leffler bounded high-gain observer for systems with unknown dynamics and noisy measurements.
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DOI: 10.1016/j.isatra.2021.11.003
Abstract: In this work, we present a globally Mittag-Leffler bounded high-gain observer for fractional order nonlinear systems with unmodeled dynamics and additive measurement noise at the output. Our proposal starts from an alternative representation of the… read more here.
Keywords: high gain; globally mittag; mittag leffler; gain observer ... See more keywords
On stability of nonlinear nonautonomous discrete fractional Caputo systems
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124021
Abstract: Abstract Conditions to establish Mittag-Leffler stability of solutions for nonlinear nonautonomous discrete Caputo-like fractional systems just from the linear associated system is shown. Mittag-Leffler stability for linear systems is tackled pointing out properties the matrix… read more here.
Keywords: caputo; nonlinear nonautonomous; leffler stability; mittag leffler ... See more keywords
Some Comprehensive Inequalities Consisting of Mittag-Leffler Type Functions in the Complex Plane
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DOI: 10.1051/mmnp/201712306
Abstract: Inequalities involving Mittag-Leffler functions play important roles in themselves and in their diverse applications. Many inequalities involving Mittag-Leffler functions have been established by a number of authors in many different ways. In this paper by… read more here.
Keywords: leffler type; leffler; mittag leffler; complex plane ... See more keywords
Analysis of two avian influenza epidemic models involving fractal-fractional derivatives with power and Mittag-Leffler memories.
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DOI: 10.1063/1.5117285
Abstract: Since certain species of domestic poultry and poultry are the main food source in many countries, the outbreak of avian influenza, such as H7N9, is a serious threat to the health and economy of those… read more here.
Keywords: avian influenza; involving fractal; mittag leffler; influenza epidemic ... See more keywords
On the fractional calculus of multivariate Mittag-Leffler functions
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DOI: 10.1080/00207160.2021.1906869
Abstract: ABSTRACT Multivariate Mittag-Leffler functions are a strong generalisation of the univariate and bivariate Mittag-Leffler functions which are known to be important in fractional calculus. We consider the general functional operator defined by an integral transform… read more here.
Keywords: mittag leffler; leffler functions; fractional calculus; multivariate mittag ... See more keywords