Results 41 to 50 of about 1,524 (134)

All functions are locally $s$-harmonic up to a small error [PDF]

, 2014
We show that we can approximate every function $f\in C^{k}(\bar{B_1})$ with a $s$-harmonic function in $B_1$ that vanishes outside a compact set. That is, $s$-harmonic functions are dense in $C^{k}_{\rm{loc}}$.
Dipierro, Serena, Savin, Ovidiu, Valdinoci, Enrico   +2 more
core   +4 more sources

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

Double Laplace Transform Method for Solving Fractional Fourth-Order Partial Integro-Differential Equations with Weakly Singular Kernel

Indian Journal of Science and Technology
Objectives: To investigates the solutions of fourth order partial integro-differential equations with high-order non-integer derivatives and weakly singular kernels.
Ranjit R. Dhunde
semanticscholar   +1 more source

A Conservative Difference Scheme for Space Fractional Klein-Gordon-Schrödinger Equations with a High-Degree Yukawa Interaction

East Asian Journal on Applied Mathematics, 2018
A conservative finite difference scheme for nonlinear space fractional KleinGordon-Schrödinger systems with high-degree Yukawa interaction is studied. We show that the arising difference equations are uniquely solvable and approximate solutions converge ...
Junjie Wang, A. Xiao, Chenxi Wang
semanticscholar   +1 more source

Fractional natural decomposition method for solving a certain class of nonlinear time-fractional wave-like equations with variable coefficients

Acta Universitatis Sapientiae: Mathematica, 2019
In this paper, we propose a new approximate method, namely fractional natural decomposition method (FNDM) in order to solve a certain class of nonlinear time-fractional wave-like equations with variable coefficients.
Khalouta Ali, Kadem Abdelouahab
doaj   +1 more source

Combination of Homotopy Perturbation Method (HPM) and Double Sumudu Transform to Solve Fractional KdV Equations

, 2018
In this work, we developed homotopy perturbation double Sumudu transform method (HPDSTM) which is obtained by combining homotopy perturbation method, double Sumudu transform and He’s polynomials.
H. Rehman, M. Saleem, Ayesha Ahmad
semanticscholar   +1 more source

Two equivalent Stefan's problems for the Time Fractional Diffusion Equation [PDF]

, 2013
Two Stefan's problems for the diffusion fractional equation are solved, where the fractional derivative of order $ \al \in (0,1) $ is taken in the Caputo's sense.
Marcus, Eduardo A. Santillan, Roscani, Sabrina   +1 more
core   +2 more sources

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

Investigation of solutions to the fractional integro-differential equations of Bratu-type using Legendre wavelets method

, 2020
In this study, Legendre wavelets has been applied to solve the fractional integrodifferential equations of Bratu-type. In this method, Legendre wavelet operational matrix and numerical integration techniques have been used.
M. Felahat, N. Kadkhoda, Michal Feckan
semanticscholar   +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