Results 11 to 20 of about 328 (78)

Fractional nonlocal impulsive quasilinear multi-delay integro-differential systems

open access: yesAdvances in Difference Equations, 2011
In this article, sufficient conditions for the existence result of quasilinear multi-delay integro-differential equations of fractional orders with nonlocal impulsive conditions in Banach spaces have been presented using fractional calculus, resolvent ...
Debbouche Amar
doaj   +2 more sources

Necessary and Sufficient Conditions for the Existence of aWeak Solution to the Maxwell-Stokes Type Equation

open access: yesAdvances in Dynamical Systems and Applications, 2021
In this paper, we derive necessary and sufficient conditions for the existence of a weak solution to the Maxwell-Stokes type equation associated with slip-Navier boundary condition.
J. Aramaki
semanticscholar   +1 more source

Incompressible limit for compressible viscoelastic flows with large velocity

open access: yesAdvances in Nonlinear Analysis, 2023
We are concerned with the incompressible limit of global-in-time strong solutions with arbitrary large initial velocity for the three-dimensional compressible viscoelastic equations.
Hu Xianpeng   +3 more
doaj   +1 more source

Nonlocal nonlinear integrodifferential equations of fractional orders

open access: yesBoundary Value Problems, 2012
In this paper, Schauder fixed point theorem, Gelfand-Shilov principles combined with semigroup theory are used to prove the existence of mild and strong solutions for nonlinear fractional integrodifferential equations of Sobolev type with nonlocal ...
A. Debbouche, D. Baleanu, R. Agarwal
semanticscholar   +2 more sources

Modelling and analysis of fractal-fractional partial differential equations: Application to reaction-diffusion model

open access: yesAlexandria Engineering Journal, 2020
In this paper, an extension is paid to an idea of fractal and fractional derivatives which has been applied to a number of ordinary differential equations to model a system of partial differential equations.
Kolade M. Owolabi   +2 more
doaj   +1 more source

Global nonexistence of solutions for systems of quasilinear hyperbolic equations with damping and source terms

open access: yesBoundary Value Problems, 2014
The initial boundary value problem for a class of quasilinear hyperbolic equations system in a bounded domain is studied. We prove that the solutions with positive initial energy blow up in finite time under some conditions. The estimates of the lifespan
Y. Ye
semanticscholar   +2 more sources

Existence of a Solution for a Variational Inequality Associated with the Maxwell-Stokes Type Problem and the Continuous Dependence of the Solution on the Data

open access: yes, 2020
In this paper, we prove the existence of a solution for a variational inequality associated with the Maxwell-Stokes type equation in a bounded multiply connected domain with holes.
J. Aramaki
semanticscholar   +1 more source

Existence and Regularity of a Weak Solution to a Class of Systems in a Multi-Connected Domain

open access: yesJournal of Partial Differential Equations, 2019
We consider the existence and regularity of a weak solution to a class of systems containing a p-curl system in a multi-connected domain. This paper extends the result of the regularity theory for a class containing a p-curl system that is given in the ...
Junichi Aramaki sci
semanticscholar   +1 more source

Exact Boundary Conditions at an Artificial Boundary for Partial Differential Equations in Cylinders [PDF]

open access: yes, 1986
The numerical solution of partial differential equations in unbounded domains requires a finite computational domain. Often one obtains a finite domain by introducing an artificial boundary and imposing boundary conditions there. This paper derives exact
Hagstrom, Thomas, Keller, H. B.
core   +1 more source

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