Results 41 to 50 of about 600,406 (168)

Concept and application of interval-valued fractional conformable calculus

open access: yesAlexandria Engineering Journal, 2022
This paper introduces a new concept of Caputo type interval-valued fractional conformable calculus. Based on this, some theorems and properties related to fractional conformable calculus are presented.
Lihong Zhang   +3 more
doaj   +1 more source

Preventing Exceptions to Robins InEquality [PDF]

open access: yes, 2013
For sufficiently large n Ramanujan gave a sufficient condition for the truth Robin's InEquality $X(n):=\frac{\sigma(n)}{n\ln\ln n}
Schwabhäuser, Thomas
core  

Finite Element Convergence for the Joule Heating Problem with Mixed Boundary Conditions [PDF]

open access: yes, 2012
We prove strong convergence of conforming finite element approximations to the stationary Joule heating problem with mixed boundary conditions on Lipschitz domains in three spatial dimensions.
A. Johnsson   +35 more
core   +3 more sources

A Hamilton-Jacobi approach for front propagation in kinetic equations [PDF]

open access: yes, 2014
In this paper we use the theory of viscosity solutions for Hamilton-Jacobi equations to study propagation phenomena in kinetic equations. We perform the hydrodynamic limit of some kinetic models thanks to an adapted WKB ansatz.
Bouin, Emeric
core   +3 more sources

Convergence for PDEs with an arbitrary odd order spatial derivative term

open access: yes, 2017
We compute the rate of convergence of forward, backward and central finite difference $\theta$-schemes for linear PDEs with an arbitrary odd order spatial derivative term.
B Després, GB Witham, PD Lax, W Craig
core   +1 more source

Stochastic Delay Population Dynamics under Regime Switching: Global Solutions and Extinction

open access: yesAbstract and Applied Analysis, 2013
This paper is concerned with a delay Lotka-Volterra model under regime switching diffusion in random environment. By using generalized Itô formula, Gronwall inequality and Young’s inequality, some sufficient conditions for existence of global positive ...
Zheng Wu, Hao Huang, Lianglong Wang
doaj   +1 more source

Hyers-Ulam stability of a nonautonomous semilinear equation with fractional diffusion

open access: yesDemonstratio Mathematica, 2020
In this paper, we study the Hyers-Ulam stability of a nonautonomous semilinear reaction-diffusion equation. More precisely, we consider a nonautonomous parabolic equation with a diffusion given by the fractional Laplacian. We see that such a stability is
Villa-Morales José
doaj   +1 more source

Fractional Crank-Nicolson-Galerkin Finite Element Methods for Nonlinear Time Fractional Parabolic Problems with Time Delay

open access: yesJournal of Function Spaces, 2021
A linearized numerical scheme is proposed to solve the nonlinear time-fractional parabolic problems with time delay. The scheme is based on the standard Galerkin finite element method in the spatial direction, the fractional Crank-Nicolson method, and ...
Lili Li, Mianfu She, Yuanling Niu
doaj   +1 more source

Attainability property for a probabilistic target in Wasserstein spaces

open access: yes, 2020
In this paper we establish an attainability result for the minimum time function of a control problem in the space of probability measures endowed with Wasserstein distance.
Cavagnari, Giulia, Marigonda, Antonio
core   +1 more source

Dynamics of Sound Waves in an Interacting Bose Gas [PDF]

open access: yes, 2014
We consider a non-relativistic quantum gas of $N$ bosonic atoms confined to a box of volume $\Lambda$ in physical space. The atoms interact with each other through a pair potential whose strength is inversely proportional to the density, $\rho=\frac{N ...
Deckert, D. -A.   +3 more
core  

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