Mittag‐Leffler stability for a fractional thermoelastic‐porous system arising in swelling soils problem
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DOI: 10.1002/asjc.3738
Abstract: The study of swelling soils is of considerable importance in geotechnical engineering and soil mechanics due to their capacity to undergo significant volumetric changes in response to moisture variation. These volumetric changes can affect the… read more here.
Keywords: system; leffler stability; fractional thermoelastic; mittag leffler ... See more keywords
Mittag‐Leffler stability and synchronization of discrete‐time quaternion valued delayed neural networks with fractional order and its application
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DOI: 10.1002/mma.10220
Abstract: This paper discusses the problem of Mittag‐Leffler stability and synchronization for discrete‐time fractional‐order delayed quaternion valued neural networks (DTFODQVNN). Firstly, a criterion is achieved to ensure the existence and uniqueness of the equilibrium point (EP)… read more here.
Keywords: synchronization; stability; leffler stability; synchronization discrete ... See more keywords
Existence and k‐Mittag–Leffler–Ulam stabilities of a Volterra integro‐differential equation via (k,ϱ)‐Hilfer fractional derivative
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DOI: 10.1002/mma.10572
Abstract: In this paper, we investigate the existence, uniqueness, and analysis of two types of k$$ k $$ ‐Mittag–Leffler–Ulam stabilities in a Volterra integro‐differential fractional differential equation that involves the (k,ϱ)$$ \left(k,\varrho \right) $$ ‐Hilfer operator.… read more here.
Keywords: mittag leffler; ulam stabilities; existence; leffler ulam ... See more keywords
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
On Generalized Mittag–Leffler‐Type Functions of Two Variables
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DOI: 10.1002/mma.70041
Abstract: We aim to study the Mittag–Leffler‐type functions of two variables D1(x,y),…,D5(x,y)$$ {D}_1\left(x,y\right),\dots, {D}_5\left(x,y\right) $$ by analogy with the Appell hypergeometric functions of two variables. Moreover, we targeted functions E1(x,y),…,E10(x,y)$$ {E}_1\left(x,y\right),\kern0.3em \dots, {E}_{10}\left(x,y\right) $$ as limiting… read more here.
Keywords: function; leffler type; functions two; mittag leffler ... 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