Results 31 to 40 of about 36,538 (210)

Fractional Integro-Differential Equations for Electromagnetic Waves in Dielectric Media

, 2011
We prove that the electromagnetic fields in dielectric media whose susceptibility follows a fractional power-law dependence in a wide frequency range can be described by differential equations with time derivatives of noninteger order.
A. A. Kilbas, A. A. Stanislavsky, A. Carpinteri, A. K. Jonscher, A. K. Jonscher, A. K. Jonscher, G. M. Zaslavsky, P. Debye, R. R. Nigmatullin, R. R. Nigmatullin, R. R. Nigmatullin, S. G. Samko, V. E. Tarasov, V. E. Tarasov, V. V. Novikov, Y. Yilmaz   +15 more
core   +1 more source

Localized direct boundary–domain integro–differential formulations for scalar nonlinear boundary-value problems with variable coefficients [PDF]

, 2005
Mixed boundary-value Problems (BVPs) for a second-order quasi-linear elliptic partial differential equation with variable coefficients dependent on the unknown solution and its gradient are considered.
Mikhailov, SE
core   +1 more source

Numerical Approximate Solution of Fuzzy Volterra Nonlinear Integro-Differential Equation

Academic Science Journal
In this work, approximate solutions to fuzzy integro-differential equations refer to numerical methods or techniques used to obtain approximate solutions to differential equations involving fuzzy sets and integro-differential operators.
walaa fasial, Rokan Khaji, Suhad K. Hameed   +2 more
doaj   +1 more source

Stochastic functional differential equations driven by L\'{e}vy processes and quasi-linear partial integro-differential equations

, 2012
In this article we study a class of stochastic functional differential equations driven by L\'{e}vy processes (in particular, $\alpha$-stable processes), and obtain the existence and uniqueness of Markov solutions in small time intervals.
Zhang, Xicheng
core   +1 more source

Numerical method for a system of integro-differential equations and convergence analysis by Taylor collocation

Ain Shams Engineering Journal, 2018
In this paper, we present the Taylor polynomial solutions of system of higher order linear integro-differential Volterra-Fredholm equations (IDVFE). This method transforms IDVFE into the matrix equations which correspond to a system of linear algebraic ...
Yousef Jafarzadeh, Bagher Keramati
doaj   +1 more source

Classical Theory of Linear Multistep Methods for Volterra Functional Differential Equations

Discrete Dynamics in Nature and Society, 2021
Based on the linear multistep methods for ordinary differential equations (ODEs) and the canonical interpolation theory that was presented by Shoufu Li who is exactly the second author of this paper, we propose the linear multistep methods for general ...
Yunfei Li, Shoufu Li
doaj   +1 more source

Solving multi-point problem for Volterra-Fredholm integro-differential equations using Dzhumabaev parameterization method

Open Mathematics
In this study, a multipoint boundary value problem for Volterra-Fredholm integro-differential equations is considered. The addition of a new function converts the system of Volterra-Fredholm integro-differential equations to a system of Fredholm integro ...
Bakirova Elmira A., Assanova Anar T., Kadirbayeva Zhazira M.   +2 more
doaj   +1 more source

A magneto-viscoelasticity problem with a singular memory kernel

, 2016
The existence of solutions to a one-dimensional problem arising in magneto-viscoelasticity is here considered. Specifically, a non-linear system of integro-differential equations is analyzed, it is obtained coupling an integro-differential equation ...
Caffarelli, Giorgio Vergara, Carillo, Sandra, Chipot, Michel, Valente, Vanda   +3 more
core   +1 more source

Quenching the Hubbard Model: Comparison of Nonequilibrium Green's Function Methods

Contributions to Plasma Physics, EarlyView.
ABSTRACT We benchmark nonequilibrium Green's function (NEGF) approaches for interaction quenches in the half‐filled Fermi–Hubbard model in one and two dimensions. We compare fully self‐consistent two‐time Kadanoff–Baym equations (KBE), the generalized Kadanoff–Baym ansatz (GKBA), and the recently developed NEGF‐based quantum fluctuations approach (NEGF‐
Jan‐Philip Joost, Christopher Makait, Alexander Osterkorn, Erik Schroedter   +3 more
wiley   +1 more source

Front motion for phase transitions in systems with memory

, 2000
We consider the Allen-Cahn equations with memory (a partial integro-differential convolution equation). The prototype kernels are exponentially decreasing functions of time and they reduce the integrodifferential equation to a hyperbolic one, the damped ...
Aizicovici, Alexander I. Domoshnitsky, Alexander Nepomnyashchy, Binder, Caginalp, Caginalp, Caginalp, Caginalp, Cahn, Fife, Horacio G. Rotstein, Jäckle, Jäckle, Jäckle, Jäckle, Neu, Rotstein, Rubinstein   +17 more
core   +1 more source