Results 91 to 100 of about 37,564 (233)
Properties of Positive Solution for Nonlocal Reaction-Diffusion Equation with Nonlocal Boundary
Boundary Value Problems, 2007 This paper considers the properties of positive solutions for a nonlocal equation with nonlocal boundary condition u(x,t)=∫Ωf(x,y)u(y,t)dy on ∂Ω×(0,T).
Yulan Wang, Zhaoyin Xiang, Chunlai Mu
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A uniqueness result for an inverse problem in a space-time fractional diffusion equation
Electronic Journal of Differential Equations, 2013 Fractional (nonlocal) diffusion equations replace the integer-order derivatives in space and time by fractional-order derivatives. This article considers a nonlocal inverse problem and shows that the exponents of the fractional time and space ...
Salih Tatar, Suleyman Ulusoy
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Fast Calculation for the Flow and Heat Transfer of Tempered Fractional Maxwell Viscoelastic Fluid
International Journal for Numerical Methods in Fluids, EarlyView.This study develops a tempered fractional Maxwell model to simulate unsteady thermal flow in viscoelastic fluids, capturing key rheological behaviors. A fast SOE‐based algorithm is proposed to improve the computational efficiency of the numerical scheme. Results reveal how key parameters influence fluid motion and heat transfer, demonstrating the model'
Yi Liu, Mochen Jiang, Libo Feng
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Bio‐inspired nanophotonics: Structural color, chirality, and resonance metasurfaces
InfoMat, EarlyView.A butterfly‐wing‐inspired anisotropic plasmonic flatband resonant metasurface. Insets, photo of the butterfly, Sasakia charonda, and the SEM image of its wing scale (above); the SEM image of the metasurface (below). Abstract The dazzling colors of butterfly wings and hummingbird feathers are not painted with pigments, but crafted by nature's invisible ...
Weihan Liu, Yao Liang, Din Ping Tsai
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Asymptotic behaviour of nonlocal reaction–diffusion equations
Nonlinear Analysis: Theory, Methods & Applications, 2010 Ministerio de Ciencia y Tecnología BFM2002 ...
Anguiano Moreno, María +2 more
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Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies
Laser &Photonics Reviews, EarlyView.Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil +6 more
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Mathematical analysis on an age-structured SIS epidemic model with nonlocal diffusion. [PDF]
J Math Biol, 2021 Kang H, Ruan S.
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Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT The main results of this paper are the global existence and long time behavior of solutions of a fractional wave equation with a nonlocal nonlinearity. The techniques in this work rely on norm estimates of the solutions of εutt+ut+(−Δ)βu=0,u(0,x)=φ(x),ut(0,x)=ψ(x),$$ \varepsilon {u}_{tt}+{u}_t+{\left(-\Delta \right)}^{\beta }u=0,\kern1em u ...
Ibrahim Ahmad Suleman, Mokhtar Kirane
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PROBLEM WITH AN INTEGRAL CONDITION FOR FRACTIONAL DIFFUSION EQUATION WITH OPERATOR CAPUTO
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2016 In this paper we consider a nonlocal boundary value problem with integral condition for the fractional diffusion equation with Caputo operator. The theorem of existence of a solution of the problem.
Losanova F. M.
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Numerical Investigation of a Diffusive SIR Model: Focus on Positivity Preservation
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper, we consider a system of semilinear partial differential equations (PDEs) representing a spatially extended SIR epidemic model. A brief analytical investigation of the well‐posedness and positivity of the solutions is provided in the appendix, while the main focus is on the numerical treatment of the model.
Rahele Mosleh +2 more
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