Results 21 to 30 of about 251 (140)

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 class of diffusion problem of Kirchhoff type with viscoelastic term involving the fractional Laplacian

, 2020
This work is concerned with a class of diffusion problem of Kirchhoff type with viscoelastic term and nonlinear interior source in the setting of the fractional Laplacian.
LAPA, Eugenio Cabanillas, TRUJILLO FLORES, Eduardo V., BERNUI BARROS, Juan B., HUARINGA SEGURA, Zacarias L.   +3 more
core   +1 more source

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

, 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.
Shifaa Bani-Issa, Mahmoud S Alrawashdeh
core   +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

Existence and stability of solution to a toppled systems of differential equations of non-integer order [PDF]

, 2017
The aim of this paper is developing conditions that guarantee the existence of a solution to a toppled system of differential equations of noninteger order with fractional integral boundary conditions where the nonlinear functions involved in the ...
Shah, Kamal, Bessem Samet, Amjad Ali, Rahmat Ali Khan, Samet, Bessem, Khan, Rahmat, Ali, Amjad, Kamal Shah   +7 more
core   +2 more sources

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

Existence of Ground States of Fractional Schrödinger Equations

Advanced Nonlinear Studies, 2021
We consider ground states of the nonlinear fractional Schrödinger equation with ...
Ma Li, Li Zhenxiong
doaj   +1 more source

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

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

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