Results 21 to 30 of about 1,534 (136)

Numerical Comparison of FNVIM and FNHPM for Solving a Certain Type of Nonlinear Caputo Time-Fractional Partial Differential Equations

Annales Mathematicae Silesianae, 2020
This work presents a numerical comparison between two efficient methods namely the fractional natural variational iteration method (FNVIM) and the fractional natural homotopy perturbation method (FNHPM) to solve a certain type of nonlinear Caputo time ...
Khalouta Ali, Kadem Abdelouahab
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
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Compact Sobolev-Slobodeckij embeddings and positive solutions to fractional Laplacian equations

Advances in Nonlinear Analysis, 2021
In this work, we study the existence of a positive solution to an elliptic equation involving the fractional Laplacian (−Δ)s in ℝn, for n ≥ 2, such ...
Han Qi
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Optimal rearrangement problem and normalized obstacle problem in the fractional setting

Advances in Nonlinear Analysis, 2020
We consider an optimal rearrangement minimization problem involving the fractional Laplace operator (–Δ)s, 0 < s < 1, and the Gagliardo seminorm |u|s. We prove the existence of the unique minimizer, analyze its properties as well as derive the non-local ...
Bonder Julián Fernández, Cheng Zhiwei, Mikayelyan Hayk   +2 more
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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

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
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Some remarks on the duality method for Integro-Differential equations with measure data [PDF]

, 2015
We deal with existence, uniqueness, and regularity for solutions of the boundary value problem $$ \begin{cases} {\mathcal L}^s u = \mu &\quad \text{in $\Omega$}, u(x)=0 \quad &\text{on} \ \ \mathbb{R}^N\backslash\Omega, \end{cases} $$ where $\Omega$ is
Petitta, Francesco
core   +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

On fractional p-Laplacian problems with local conditions

Advances in Nonlinear Analysis, 2018
In this paper, we deal with fractional p-Laplacian equations of the ...
Li Anran, Wei Chongqing
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On well-posedness of semilinear Rayleigh-Stokes problem with fractional derivative on ℝN

Advances in Nonlinear Analysis, 2021
We are devoted to the study of a semilinear time fractional Rayleigh-Stokes problem on ℝN, which is derived from a non-Newtonain fluid for a generalized second grade fluid with Riemann-Liouville fractional derivative.
He Jia Wei, Zhou Yong, Peng Li, Ahmad Bashir   +3 more
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