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Stability of a generalized Euler–Lagrange radical multifarious functional equation
In this paper, we introduce a new generalized version of the Euler–Lagrange functional equation, namely, generalized Euler–Lagrange radical...
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Decay and Global Well-Posedness of the Free-Boundary Incompressible Euler Equations with Dam**
We consider the free boundary problem for a layer of incompressible fluid lying below the atmosphere and above a rigid bottom in the horizontally...
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Injectivity of Spherical Means on H-Type Groups
We establish injectivity results for three different spherical means on an H -type group, G . The first one is the standard spherical mean operator,...
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On the Energy Equality via a Priori Bound on the Velocity for Axisymmetric 3D Navier–Stokes Equations
In this paper, we are concerned with the energy equality for axisymmetric weak solutions of the 3D Navier–Stokes equations. The classical Shinbrot...
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Stability analysis of discrete-time tempered fractional-order neural networks with time delays
In order to accurately capture non-local properties and long-term memory effects, this study combines the tempered fractional-order operator with...
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Heyde Theorem for Locally Compact Abelian Groups Containing No Subgroups Topologically Isomorphic to the 2-Dimensional Torus
We prove the following group analogue of the well-known Heyde theorem on a characterization of the Gaussian distribution on the real line. Let X be a...
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Harmonic and Monogenic Functions on Toroidal Domains
A standard technique for producing monogenic functions is to apply the adjoint quaternionic Fueter operator to harmonic functions. We will show that...
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Shape Gradient Methods for Shape Optimization of an Unsteady Multiscale Fluid–Structure Interaction Model
We consider numerical shape optimization of a fluid–structure interaction model. The constrained system involves multiscale coupling of a...
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A General Integral Identity with Applications to a Reverse Serrin Problem
We prove a new general differential identity and an associated integral identity, which entails a pair of solutions of the Poisson equation with...
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Triebel–Lizorkin capacity and Hausdorff measure in metric spaces with chain condition
In this paper, we improve the lower bound estimate for capacity in Hajłasz–Triebel–Lizorkin spaces in terms of Hausdorff Measure obtained in Karak...
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A comparative study for mathematical modelling of the contest of CAR-T and tumour cells in solid cancers using fractional- and integer-order derivatives
Cancer is a disease resulting from the fractious growth and division of abnormal cells and has gotten consistent and dedicated attention from...
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Global Dynamics of 3D Compressible Viscous and Heat-Conducting Micropolar Fluids with Vacuum at Infinity
In this paper, we are concerned with the Cauchy problem of 3D viscous and heat-conducting micropolar fluids with far field vacuum. Compared with the...
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Extended dissipative performance of fractional-order neural networks via LMI approach
This paper investigates the extended dissipativity performance of a specific category of fractional-order neural networks. The derivatives involving...
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Certain characterization properties of the Laguerre polynomials
Generalized Laguerre polynomials have extensively been studied in various branches of applied mathematics and theoretical physics. It has however...
