Results 1 to 10 of about 1,586 (136)

Regularity and Classification of Solutions to Fractional-Order Systems With Hartree-Type Nonlinearities

open access: yesAbstract and Applied Analysis
MSC2020 Classification: 35R11, 35B06 ...
Yu-Cheng An, Guai-Qi Tian
doaj   +2 more sources

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

open access: yesBiomed 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   +14 more
europepmc   +2 more sources

Inverse problem of determining an order of the Riemann-Liouville time-fractional derivative [PDF]

open access: yesFractional Differential Calculus, 2021
The inverse problem of determining the order of the fractional RiemannLiouville derivative with respect to time in the subdiffusion equation with an arbitrary positive self-adjoint operator having a discrete spectrum is considered.
S. Alimov, R. Ashurov
semanticscholar   +1 more source

Semilinear Dirichlet problem for subordinate spectral Laplacian [PDF]

open access: yesCommunications on Pure and Applied Analysis, 2022
We study semilinear problems in bounded C1,1 domains for non-local operators with a boundary condition. The operators cover and extend the case of the spectral fractional Laplacian.
I. Biočić
semanticscholar   +1 more source

INITIAL-BOUNDARY VALUE PROBLEM FOR A SUBDIFFUSION EQUATION WITH CAPUTO DERIVATIVE [PDF]

open access: yesInternational Journal of Apllied Mathematics, 2021
We investigate an initial-boundary value problem for a timefractional subdiffusion equation with the Caputo derivatives on N -dimensional torus by the classical Fourier method.
O. Muhiddinova
semanticscholar   +1 more source

Analysis of solutions of the 1D fractional Cattaneo heat transfer equation

open access: yesJournal of Applied Mathematics and Computational Mechanics, 2021
In this paper, a solution of the single-phase lag heat conduction problem is presented. The research concerns the generalized 1D Cattaneo equation in a whole-space domain, where a second order time derivative is replaced by the fractional Caputo ...
U. Siedlecka, M. Ciesielski
semanticscholar   +1 more source

Symmetry and Nonexistence of Positive Solutions for a Fractional Laplacion System with Coupled Terms

open access: yes, 2022
In this paper, we study the problem for a nonlinear elliptic system involving fractional Laplacion: (equation 1.1) where 0 < α, β < 2, p, q > 0 and max{p, q} ≥ 1, α + γ > 0, β + τ > 0, n ≥ 2. First of all, while in the subcritical case, i.e. n + α + γ −
Rongpei Zhang
semanticscholar   +1 more source

An efficient technique to solve coupled–time fractional Boussinesq–Burger equation using fractional decomposition method

open access: yes, 2021
For this work, a novel numerical approach is proposed to obtain solution for the class of coupled time-fractional Boussinesq–Burger equations which is a nonlinear system.
Mahmoud S. Alrawashdeh, Shifaa Bani-Issa
semanticscholar   +1 more source

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

open access: yesOpen 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

open access: yesNonlinear 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   +3 more
doaj   +1 more source

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