Results 11 to 20 of about 1,279 (100)

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

open access: yesAdvances 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 fractional p-Laplacian problems with local conditions

open access: yesAdvances in Nonlinear Analysis, 2018
In this paper, we deal with fractional p-Laplacian equations of the ...
Li Anran, Wei Chongqing
doaj   +1 more source

Multiplicity solutions of a class fractional Schrödinger equations

open access: yesOpen 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   +3 more
doaj   +1 more source

Numerical treatment of the generalized time-fractional Huxley-Burgers’ equation and its stability examination

open access: yesDemonstratio Mathematica, 2021
In this paper, we show how to approximate the solution to the generalized time-fractional Huxley-Burgers’ equation by a numerical method based on the cubic B-spline collocation method and the mean value theorem for integrals.
Hadhoud Adel R.   +3 more
doaj   +1 more source

Ground states for fractional Schrödinger equations involving a critical nonlinearity

open access: yesAdvances in Nonlinear Analysis, 2016
This paper is aimed to study ground states for a class of fractional Schrödinger equations involving the critical exponents:
Zhang Xia, Zhang Binlin, Xiang Mingqi
doaj   +1 more source

Blowup in L1(Ω)-norm and global existence for time-fractional diffusion equations with polynomial semilinear terms

open access: yesAdvances in Nonlinear Analysis, 2023
This article is concerned with semilinear time-fractional diffusion equations with polynomial nonlinearity up{u}^{p} in a bounded domain Ω\Omega with the homogeneous Neumann boundary condition and positive initial values.
Floridia Giuseppe   +2 more
doaj   +1 more source

Nonlocal and mixed models with Lavrentiev Gap [PDF]

open access: yesarXiv, 2023
We present a general framework for constructing examples on Lavrentiev energy gap for nonlocal problems and apply it to several nonlocal and mixed models of double-phase type.
arxiv  

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

open access: yesAnnales 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

Embedding (3 + 1)-dimensional diffusion, telegraph, and Burgers’ equations into fractal 2D and 3D spaces: An analytical study

open access: yesJournal of King Saud University: Science, 2020
Fractional derivatives can be utilized as a promising tool for characterizing systems with embedded memory or describing viscoelasticity of advanced materials.
Marwan Alquran   +2 more
doaj  

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

open access: yesActa 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

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