Results 11 to 20 of about 203 (104)

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

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

Abstract 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]

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

Solutions for nonhomogeneous fractional (p, q)-Laplacian systems with critical nonlinearities

Advances in Nonlinear Analysis, 2022
In this article, we aimed to study a class of nonhomogeneous fractional (p, q)-Laplacian systems with critical nonlinearities as well as critical Hardy nonlinearities in RN{{\mathbb{R}}}^{N}.
Tao Mengfei, Zhang Binlin
doaj   +1 more source

Equivalence between a time-fractional and an integer-order gradient flow: The memory effect reflected in the energy

Advances in Nonlinear Analysis, 2022
Time-fractional partial differential equations are nonlocal-in-time and show an innate memory effect. Previously, examples like the time-fractional Cahn-Hilliard and Fokker-Planck equations have been studied.
Fritz Marvin, Khristenko Ustim, Wohlmuth Barbara   +2 more
doaj   +1 more source

Multiplicity solutions of a class fractional Schrödinger equations

Open Mathematics, 2017
In this paper, we study the existence of nontrivial solutions to a class fractional Schrödinger equations (−Δ)su+V(x)u=λf(x,u)inRN, $$ {( - \Delta )^s}u + V(x)u = \lambda f(x,u)\,\,{\rm in}\,\,{\mathbb{R}^N}, $$ where (−Δ)su(x)=2limε→0∫RN∖Bε(X)u(x)−u(y ...
Jia Li-Jiang, Ge Bin, Cui Ying-Xin, Sun Liang-Liang   +3 more
doaj   +1 more source

On a Class of Caputo Time Fractional Problems with Boundary Integral Conditions

Moroccan Journal of Pure and Applied Analysis, 2021
The aim of this paper is to work out the solvability of a class of Caputo time fractional problems with boundary integral conditions. A generalized formula of integration is demonstrated and applied to establish the a priori estimate of the solution ...
Aggoun Karim, Merad Ahcene
doaj   +1 more source

Numerical Solutions of the Conformable Time‐Fractional Caudrey–Dodd–Gibbon–Sawada–Kotera Equation With Proportional Delay by Using the Novel Method

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This study employs the conformable fractional q‐Shehu homotopy analysis transform approach to investigate the nonlinear conformable time‐fractional Caudrey–Dodd–Gibbon–Sawada–Kotera equation incorporating a proportional delay term. Error analysis was performed for the results obtained with this method and the analytical solution.
Aslı Alkan, Funda Turk, Hasan Bulut, Ercan Çelik, Smritijit Sen   +4 more
wiley   +1 more source

On Dirichlet problem for fractional p-Laplacian with singular non-linearity

Advances in Nonlinear Analysis, 2016
In this article, we study the following fractional p-Laplacian equation with critical growth and singular non-linearity:
Mukherjee Tuhina, Sreenadh Konijeti
doaj   +1 more source

On Cauchy problem for pseudo-parabolic equation with Caputo-Fabrizio operator

Demonstratio Mathematica, 2023
In this article, we considered the pseudo-parabolic equation with Caputo-Fabrizio fractional derivative. This equation has many applications in different fields, such as science, technology, and so on.
Nghia Bui Dai, Nguyen Van Tien, Long Le Dinh   +2 more
doaj   +1 more source