Results 81 to 90 of about 43,664 (246)
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
wiley +1 more source
Boundary value problem with fractional p-Laplacian operator
Advances in Nonlinear Analysis, 2016 The aim of this paper is to obtain the existence of solution for the fractional p-Laplacian Dirichlet problem with mixed derivatives tDTα(|0Dtαu(t)|p-20Dtαu(t)) = f(t,u(t)), t ∈ [0,T], u(0) = u(T) = 0, where 1/p < α < 1, 1 < p < ∞ and f : [0,T] × ℝ → ℝ ...
Torres Ledesma César
doaj +1 more source
On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley +1 more source
Coexistence, crossover and extirpation in coalescent communities and ecotones
Oikos, EarlyView.When two ecological communities come into contact, the strength of their mixing determines whether species coexist, extirpate, or extend their ranges. We present analytical formulas and simulations describing these transitions. Specifically, we derive abundance shifts upon community coalescence, identify the critical mixing strength leading to first ...
Martin Heidelman, Dervis Can Vural
wiley +1 more source
On Shape Optimization Theory With Fractional p-Laplacian Operators
Abstract and Applied AnalysisThe focus of this paper is the investigation of shape optimization problems with operators such as fractional Laplacian and p-Laplacian operators, that is, −Δs and −Δps, where ...
Malick Fall +3 more
doaj +1 more source
On fractional p-Laplacian problems with local conditions
Advances in Nonlinear Analysis, 2018 In this paper, we deal with fractional p-Laplacian equations of the ...
Li Anran, Wei Chongqing
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A Hopf's lemma and the boundary regularity for the fractional p-Laplacian
Discrete and Continuous Dynamical Systems, 2019 We begin the paper with a Hopf's lemma for a fractional p-Laplacian problem on a half-space. Specifically speaking, we show that the derivative of the solution along the outward normal vector is strictly positive on the boundary of the half-space.
Jin, Lingyu, Li, Yan
openaire +3 more sources
Precision Radiation Oncology, EarlyView.A prognostic nomogram integrating radiomic features and white matter hyperintensity (WMH) grading was developed to enable individualized survival prediction in patients with brain metastases (BMs). Integration of these imaging biomarkers into the clinical model enhanced predictive performance, indicating their incremental prognostic value for BM ...
Jianan Ni +7 more
wiley +1 more source
Journal of Function SpacesThe p-Laplacian fractional differential equations have been studied extensively because of their numerous applications in science and engineering.
Wangjin Yao, Huiping Zhang
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Non-local Diffusion Equations Involving the Fractional p(·) -Laplacian
, 2019 In this paper we study a class of nonlinear quasi-linear diffusion equations involving the fractional p(·) -Laplacian with variable exponents, which is a fractional version of the nonhomogeneous p(·) -Laplace operator. The paper is divided into two parts.
Hurtado, Elard J. [UNESP] +1 more
core +1 more source