Results 161 to 170 of about 3,838,910 (187)

Approximation Results for Volterra Integro-Partial Differential Equations

1980
A nonlinear parabolic Volterra integrodifferential equation with infinite delay, of relevance in population theory, is considered. Under a suitable spectral condition, approximation results are given for solutions near to equilibria in an appropriate function space.
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Energy Inequalities for Integro-Partial Differential Equations with Riemann–Liouville Integrals

SIAM Journal on Mathematical Analysis, 1992
This paper presents energy inequalities for the integro-partial differential equations with the Riemann–Liouville integrals. These equations interpolate between the heat equation and the wave equation. This fact is reflected in the energy inequalities so that they correspond to the energy equality for the wave equation. The proofs depend on the Fourier
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An integro-partial differential equation for modeling biofluids flow in fractured biomaterials

Journal of Theoretical Biology, 2011
A novel mathematical model in the framework of a nonlinear integro-partial differential equation governing biofluids flow in fractured biomaterials is proposed, solved, verified, and evaluated. A semi-analytical solution is derived for the equation, verified by a mass-lumped Galerkin finite element method (FEM), and calibrated with two in vitro ...
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The nonlinear integro-partial differential equation describing the logistic growth of human population with migration

Applied Mathematics and Computation, 1999
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Minoru Tabata, Nobuoki Eshima, Ichiro Takagi   +2 more
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An efficient numerical approach to solve a class of variable‐order fractional integro‐partial differential equations

Numerical Methods for Partial Differential Equations, 2020
AbstractThe main purpose of this work is to investigate an initial boundary value problem related to a suitable class of variable order fractional integro‐partial differential equations with a weakly singular kernel. To discretize the problem in the time direction, a finite difference method will be used.
Afshin Babaei, Seddigheh Banihashemi, Carlo Cattani   +2 more
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A numerical scheme for solving a class of time fractional integro-partial differential equations with Caputo–Fabrizio derivative

Asian-European Journal of Mathematics, 2022
In this paper, we find the numerical solution of the time-fractional partial integro-differential equation with Caputo–Fabrizio fractional derivative. The problem is discretized by some finite difference schemes in the time direction, and then the Sinc collocation method is applied to the resulting problems in the spatial direction.
A. Mohammadpour, A. Babaei, S. Banihashemi   +2 more
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Regularized asymptotic solutions of the initial problem for the system of integro-partial differential equations

Mathematical Notes, 2017
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Bobodzhanov, A. A., Safonov, V. F.
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Initial boundary value problems for a class of nonlinear integro-partial differential equations

Applied Mathematics and Mechanics, 1994
The authors study the global existence of classical solutions of a certain problem which occurs in the theory of nonlinear vibrations of finite rods with nonlinear viscoelasticity. This phenomenon is described by an initial-boundary value problem (with the boundary conditions \(u(t,a) = 0\), \(u(t,b) = 0\), for all \(t)\) for the integro-partial ...
Cui, Shangbin, Qu, Changzheng
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The obstacle problem of integro-partial differential equations with applications to stochastic optimal control/stopping problem

Journal of the Franklin Institute, 2019
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Lei Zhang, Bin Liu
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Initial value problems for a class of nonlinear integro-partial differential equations

Applied Mathematics and Mechanics, 1999
Under certain regularity conditions on the coefficients, it is shown that the initial-value problem \[ \begin{cases} u_{tt}-au_{xxt}-p(u_x)_x-\int_0^t\lambda(t-s)q(u_x)_x ds=f(x,t),\\ \left.u\right|_{t=0}=\varphi(x),\;\left.u_t\right|_{t=0}=\psi(x),\end{cases} \] where \(x\in{\mathbb R}\) and \(t>0\), has a global classical solution. The proof is based
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