Results 41 to 50 of about 2,621 (157)

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

Regularity and Bernstein-type results for nonlocal minimal surfaces [PDF]

, 2013
We prove that, in every dimension, Lipschitz nonlocal minimal surfaces are smooth. Also, we extend to the nonlocal setting a famous theorem of De Giorgi stating that the validity of Bernstein's theorem in dimension $n+1$ is a consequence of the ...
Figalli, Alessio, Valdinoci, Enrico
core   +4 more sources

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

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

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

, 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, Machado, Tenreiro, Mainardi, Francesco   +2 more
core  

Fractional differential operators in vector-valued spaces and applications

, 2020
Fractional differential operator equations with parameter are studied. Uniform Lp separability properties and sharp resolvent estimates are obtained for elliptic equations in terms of fractional derivatives. Moreover, maximal regularity properties of the
V. Shakhmurov
semanticscholar   +1 more source

A note on higher order fractional Hardy-Sobolev inequalities [PDF]

arXiv, 2020
We establish some qualitative properties of minimizers in the fractional Hardy--Sobolev inequalities of arbitrary order.
arxiv  

Integral Transforms Method to Solve a Time-Space Fractional Diffusion Equation [PDF]

, 2010
Mathematical Subject Classification 2010: 35R11, 42A38, 26A33, 33E12.The method of integral transforms based on using a fractional generalization of the Fourier transform and the classical Laplace transform is applied for solving Cauchy-type problem for ...
Boyadjiev, Lyubomir, Nikolova, Yanka
core  

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

, 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

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