Results 21 to 30 of about 1,557 (138)

On Cauchy problem for fractional parabolic-elliptic Keller-Segel model

Advances in Nonlinear Analysis, 2022
In this paper, we concern about a modified version of the Keller-Segel model. The Keller-Segel is a system of partial differential equations used for modeling Chemotaxis in which chemical substances impact the movement of mobile species.
Nguyen Anh Tuan, Tuan Nguyen Huy, Yang Chao   +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

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
doaj   +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

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
doaj   +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

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

A Computational Method for the Time-Fractional Navier-Stokes Equation

Cumhuriyet Science Journal, 2018
In thisstudy, Navier-Stokes equations with fractional derivate are solved according totime variable. To solve these equations, hybrid generalized differentialtransformation and finite difference methods are used in various subdomains.The aim of this ...
Hüseyin Demir, İnci Çilingir Süngü
doaj   +1 more source

Fractional heat conduction in a rectangular plate with bending moments

, 2020
In this research work, we consider a thin, simply supported rectangular plate defined as 0 x a   , 0 y b   , 0 z c   and determine the thermal stresses by using a thermal bending moment with the help of a time dependent fractional derivative.
S. Warbhe
semanticscholar   +1 more source