Results 211 to 220 of about 3,849,109 (255)

Integral solutions of nondense impulsive conformable-fractional differential equations with nonlocal condition

Journal of Applied Analysis, 2021
In this paper, a class of nondense impulsive differential equations with nonlocal condition in the frame of the conformable fractional derivative is studied. The abstract results concerning the existence, uniqueness and stability of the integral solution
M. Bouaouid, K. Hilal, M. Hannabou
semanticscholar   +1 more source

A class of stochastic nonlocal evolution equations with nonlocal initial conditions

Analysis and Applications, 2023
In this paper, we consider the existence and uniqueness of mild solutions for stochastic nonlocal evolution equations with Lévy diffusion operator and nonlocal initial conditions. Based on the continuity of the Lévy semigroup and the technique of the measure of noncompactness, we establish the local existence of mild solutions in [Formula: see text ...
Yarong Liu   +2 more
openaire   +2 more sources

Integrable solutions for implicit fractional order differential equations with nonlocal condition

, 2020
We establish in this work the existence and uniqueness results of integrable solutions for nonlocal problem for fractional implicit differential equations. Our results are based on two fixed point theorems.
Benoumran Telli, M. S. Souıd
semanticscholar   +1 more source

Stabilization of nonlocal solitons by boundary conditions

Optics Letters, 2014
We discovered that boundary conditions can stabilize nonlocal solitons with an oscillatory periodic response function. These solitons are the equivalent of quadratic solitons consisting of fundamental waves and oscillatory second harmonics, which are unstable unless subject to boundary confinement.
Jing, Wang, Yiheng, Li, Qi, Guo, Wei, Hu
openaire   +2 more sources

A nonlocal problem with integral conditions

Mathematical Notes, 1996
For the equation \(u_{xy} +A(x,y)u_x +B(x,y)u_y +C(x,y)u =f(x,y)\) in the domain \(D=\{(x,y ...
Golubeva, N. D., Pul'kina, L. S.
openaire   +1 more source

Constrained controllability of second order retarded nonlinear systems with nonlocal condition

IMA Journal of Mathematical Control and Information, 2019
In this paper, the constrained controllability of the second order retarded nonlinear systems with nonlocal condition has been established by using the theory of cosine families and the generalized open mapping theorem.
Suman Kumar, Rathinasamy Sakthivel
semanticscholar   +1 more source

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