Results 31 to 40 of about 1,586 (136)

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

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

open access: yesCumhuriyet 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

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

open access: yes, 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

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

open access: yesEast 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

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

open access: yes, 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

On a Class of Caputo Time Fractional Problems with Boundary Integral Conditions

open access: yesMoroccan Journal of Pure and Applied Analysis, 2021
The aim of this paper is to work out the solvability of a class of Caputo time fractional problems with boundary integral conditions. A generalized formula of integration is demonstrated and applied to establish the a priori estimate of the solution ...
Aggoun Karim, Merad Ahcene
doaj   +1 more source

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

open access: yes, 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

On Cauchy problem for pseudo-parabolic equation with Caputo-Fabrizio operator

open access: yesDemonstratio 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   +2 more
doaj   +1 more source

A Poster about the Recent History of Fractional Calculus [PDF]

open access: yes, 2010
MSC 2010: 26A33, 05C72, 33E12, 34A08, 34K37, 35R11, 60G22In the last decades fractional calculus became an area of intense re-search and development.
Kiryakova, Virginia   +2 more
core  

Transference of fractional Laplacian regularity

open access: yes, 2014
In this note we show how to obtain regularity estimates for the fractional Laplacian on the multidimensional torus $\mathbb{T}^n$ from the fractional Laplacian on $\mathbb{R}^n$.
J.E. Galé   +4 more
core   +1 more source

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