Results 41 to 50 of about 8,778,307 (358)

Measure of noncompactness and fractional integro-differential equations with state-dependent nonlocal conditions in Fréchet spaces

AIMS Mathematics, 2020
This paper deals with the existence of mild solutions for non-linear fractional integrodifferential equations with state-dependent nonlocal conditions. The technique used is a generalization of the classical Darbo fixed point theorem for Frechet spaces ...
M. Benchohra, Zohra Bouteffal, J. Henderson, S. Litimein   +3 more
semanticscholar   +1 more source

Spatiotemporal Dynamics of a Diffusive Immunosuppressive Infection Model with Nonlocal Competition and Crowley–Martin Functional Response

Axioms, 2023
In this paper, we introduce the Crowley–Martin functional response and nonlocal competition into a reaction–diffusion immunosuppressive infection model.
Yuan Xue, Jinli Xu, Yuting Ding
doaj   +1 more source

Variational Theory and Domain Decomposition for Nonlocal Problems [PDF]

, 2011
In this article we present the first results on domain decomposition methods for nonlocal operators. We present a nonlocal variational formulation for these operators and establish the well-posedness of associated boundary value problems, proving a ...
Aksoylu, Burak, Parks, Michael L.
core   +5 more sources

Approximate controllability of a semilinear impulsive stochastic system with nonlocal conditions and Poisson jumps

Advances in Differential Equations, 2020
The objective of this paper is to investigate the approximate controllability of a semilinear impulsive stochastic system with nonlocal conditions and Poisson jumps in a Hilbert space.
A. Anguraj, K. Ravikumar, D. Baleanu
semanticscholar   +1 more source

Iterative algorithm for parabolic and hyperbolic PDEs with nonlocal boundary conditions

Journal of Ocean Engineering and Science, 2018
In this paper, we are concerned with the numerical solutions for the parabolic and hyperbolic partial differential equations with nonlocal boundary conditions.
N.A. Al-Zaid, H.O. Bakodah
doaj   +1 more source

Diffusion with nonlocal Robin boundary conditions [PDF]

Journal of the Mathematical Society of Japan, 2018
Revision based on the comments of the referee; final ...
ARENDT, Wolfgang, KUNKEL, Stefan, KUNZE, Markus   +2 more
openaire   +4 more sources

Distributed optimal control of a nonstandard nonlocal phase field system [PDF]

, 2016
We investigate a distributed optimal control problem for a nonlocal phase field model of viscous Cahn-Hilliard type. The model constitutes a nonlocal version of a model for two-species phase segregation on an atomic lattice under the presence of ...
Colli, Pierluigi, Gilardi, Gianni, Sprekels, Jürgen   +2 more
core   +4 more sources

One-loop analysis with nonlocal boundary conditions

, 2019
In the eighties, Schroder studied a quantum mechanical model where the stationary states of Schrodinger's equation obey nonlocal boundary conditions on a circle in the plane.
Di Grezia, Elisabetta, Esposito, Giampiero   +1 more
core   +1 more source

Fractional integro-differential equations with nonlocal conditions and ψ-Hilfer fractional derivative

Mathematical Modelling and Analysis, 2019
Considering a fractional integro-differential equation with nonlocal conditions involving a general form of Hilfer fractional derivative with respect to another function.
Mohammed S Abdo, S. K. Panchal, H. S. Hussien   +2 more
semanticscholar   +1 more source

On a Coupled System of Random and Stochastic Nonlinear Differential Equations with Coupled Nonlocal Random and Stochastic Nonlinear Integral Conditions

Mathematics, 2021
It is well known that Stochastic equations had many useful applications in describing numerous events and problems of real world, and the nonlocal integral condition is important in physics, finance and engineering.
Ahmed M. A. El-Sayed, Hoda A. Fouad
doaj   +1 more source