Results 11 to 20 of about 174 (81)

Crank–Nicolson Method for the Advection-Diffusion Equation Involving a Fractional Laplace Operator

Abstract and Applied Analysis
MSC2020 Classification: 35R11; 35S15; 65M12.
Martin Nitiema, Thomas Tindano, Windjiré Some   +2 more
doaj   +2 more sources

Clinical Performance and Safety of 108 SpineJack Implantations: 1-Year Results of a Prospective Multicentre Single-Arm Registry Study. [PDF]

Biomed Res Int, 2015
This prospective, consecutive, multicentre observational registry aimed to confirm the safety and clinical performance of the SpineJack system for the treatment of vertebral compression fractures (VCF) of traumatic origin. We enrolled 103 patients (median age: 61.6 years) with 108 VCF due to trauma, or traumatic VCF with associated osteoporosis ...
Noriega D, Maestretti G, Renaud C, Francaviglia N, Ould-Slimane M, Queinnec S, Ekkerlein H, Hassel F, Gumpert R, Sabatier P, Huet H, Plasencia M, Theumann N, Kunsky A, Krüger A.   +14 more
europepmc   +2 more sources

Anomalous pseudo-parabolic Kirchhoff-type dynamical model

Advances in Nonlinear Analysis, 2021
In this paper, we study an anomalous pseudo-parabolic Kirchhoff-type dynamical model aiming to reveal the control problem of the initial data on the dynamical behavior of the solution in dynamic control system. Firstly, the local existence of solution is
Dai Xiaoqiang, Han Jiangbo, Lin Qiang, Tian Xueteng   +3 more
doaj   +1 more source

Well-posedness and blow-up results for a class of nonlinear fractional Rayleigh-Stokes problem

Advances in Nonlinear Analysis, 2022
In this article, we consider the fractional Rayleigh-Stokes problem with the nonlinearity term satisfies certain critical conditions. The local existence, uniqueness and continuous dependence upon the initial data of ε\varepsilon -regular mild solutions ...
Wang Jing Na, Alsaedi Ahmed, Ahmad Bashir, Zhou Yong   +3 more
doaj   +1 more source

Monotonicity of solutions for fractional p-equations with a gradient term

Open Mathematics, 2022
In this paper, we consider the following fractional pp-equation with a gradient term: (−Δ)psu(x)=f(x,u(x),∇u(x)).{\left(-\Delta )}_{p}^{s}u\left(x)=f\left(x,u\left(x),\nabla u\left(x)). We first prove the uniqueness and monotonicity of positive solutions
Wang Pengyan
doaj   +1 more source

A new analytical method to simulate the mutual impact of space-time memory indices embedded in (1 + 2)-physical models

Nonlinear Engineering, 2022
In the present article, we geometrically and analytically examine the mutual impact of space-time Caputo derivatives embedded in (1 + 2)-physical models.
Makhadmih Mohammad, Jaradat Imad, Alquran Marwan, Baleanu Dumitru   +3 more
doaj   +1 more source

The concentration-compactness principles for Ws,p(·,·)(ℝN) and application

Advances in Nonlinear Analysis, 2020
We obtain a critical imbedding and then, concentration-compactness principles for fractional Sobolev spaces with variable exponents. As an application of these results, we obtain the existence of many solutions for a class of critical nonlocal problems ...
Ho Ky, Kim Yun-Ho
doaj   +1 more source

Sign-Changing Solutions for the One-Dimensional Non-Local sinh-Poisson Equation

Advanced Nonlinear Studies, 2020
We study the existence of sign-changing solutions for a non-local version of the sinh-Poisson equation on a bounded one-dimensional interval I, under Dirichlet conditions in the exterior of I.
DelaTorre Azahara, Mancini Gabriele, Pistoia Angela   +2 more
doaj   +1 more source

A preconditioned iterative method for coupled fractional partial differential equation in European option pricing

Open Mathematics, 2023
Recently, regime-switching option pricing based on fractional diffusion models has been used, which explains many significant empirical facts about financial markets better.
Wu Shuang, Chou Lot-Kei, Chen Xu, Lei Siu-Long   +3 more
doaj   +1 more source

A posteriori error estimates based on superconvergence of FEM for fractional evolution equations

Open Mathematics, 2021
In this paper, we consider an approximation scheme for fractional evolution equation with variable coefficient. The space derivative is approximated by triangular finite element and the time fractional derivative is evaluated by the L1 approximation. The
Tang Yuelong, Hua Yuchun
doaj   +1 more source