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EXISTENCE OF MULTIPLE POSITIVE SOLUTIONS FOR A CLASS OF INFINITE-POINT SINGULAR P-LAPLACIAN FRACTIONAL DIFFERENTIAL EQUATION WITH SINGULAR SOURCE TERMS*

Abstract: Based on properties of Green’s function and by Avery–Peterson fixed point theorem, the existence of multiple positive solutions are obtained for singular p-Laplacian fractional differential equation with infinite-point boundary conditions, and an example is g

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Predefined-time synchronization of 5D Hindmarsh–Rose neuron networks via backstepping design and application in secure communication
Lixiong Lin

Abstract: In this paper, the fast synchronization problem of 5D Hindmarsh–Rose neuron networks is studied. Firstly, the global predefined-time stability of a class of nonlinear dynamical systems is investigated under the complete beta function. Then an active controlle

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How to empower Grünwald–Letnikov fractional difference equations with available initial condition?*

Abstract: In this paper, the initial condition independence property of Grünwald–Letnikov fractional difference is revealed for the first time. For example, the solution org.siir.client.entities.InlineGraphic@795526 of equation,org.siir.client.entities.InlineGraphic@b1

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Positive almost periodicity on SICNNs incorporating mixed delays and D operator*

Abstract: This article involves a kind of shunting inhibitory cellular neural networks incorporating D operator and mixed delays. First of all, we demonstrate that, under appropriate external input conditions, some positive solutions of the addressed system exist globa

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Modeling and analysis of SIR epidemic dynamics in immunization and cross-infection environments: Insights from a stochastic model*

Abstract: We propose a stochastic SIR model with two different diseases cross-infection and immunization. The model incorporates the effects of stochasticity, cross-infection rate and immunization. By using stochastic analysis and Khasminski ergodicity theory, the exis

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Finite-time reliable nonfragile control for fractionalorder nonlinear systems with asymmetrical saturation and structured uncertainties

Abstract: This paper investigates the finite-time stabilization problem of fractional-order nonlinear differential systems via an asymmetrically saturated reliable control in the sense of Caputo’s fractional derivative. In particular, an asymmetrical saturation control

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An upper-lower solution method for the eigenvalue problem of Hadamard-type singular fractional differential equation*

Abstract: In this paper, we are concerned with the eigenvalue problem of Hadamard-type singular fractional differential equations with multi-point boundary conditions. By constructing the upper and lower solutions of the eigenvalue problem and using the properties of t

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Index spaces and standard indices in metric modelling*

Abstract: We analyze the basic structure of certain metric models, which are constituted by an index org.siir.client.entities.InlineGraphic@1b27b55 acting on a metric space org.siir.client.entities.InlineGraphic@d01a31 representing a relevant property of the elements o

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Dufour and Soret effects on pulsatile hydromagnetic flow of Casson fluid in a vertical non-Darcian porous space

Abstract: This article aims to inspect the pulsating hydromagnetic slip flow of Casson fluid in a vertical porous channel with heat and mass transfer. The fluid is injected into the channel from the left wall and removed at the opposite wall with the same velocity. The

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Effects of Joule heating, thermal radiation on MHD pulsating flow of a couple stress hybrid nanofluid in a permeable channel

Abstract: The current work deals with the pulsatile hydromagnetic flow of blood-based couple stress hybrid nanofluid in a porous channel. For hybrid nanofluid, the fusion of gold (Au) and copper oxide (CuO) nanoparticles are suspended to the blood (base fluid). In this

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Exponential synchronization for second-order switched quaternion-valued neural networks with neutral-type and mixed time-varying delays
Tingting Zhanga Jigui Jianb a 1

Abstract: This article focuses on the global exponential synchronization (GES) for second-order state-dependent switched quaternion-valued neural networks (SOSDSQVNNs) with neutral-type and mixed delays. By proposing some new Lyapunov–Krasovskii functionals (LKFs) and

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