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Existence and controllability for nonlinear fractional differential inclusions with nonlocal boundary conditions and time-varying delay

Fractional Calculus and Applied Analysis, 2018
This paper discusses the existence and controllability of a class of fractional order evolution inclusions with time-varying delay. In the weak topology setting we establish the existence of solutions.
Yi Cheng, R. Agarwal, D. Regan
semanticscholar   +1 more source

Size-dependent vibration of functionally graded rotating nanobeams with different boundary conditions based on nonlocal elasticity theory

Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 2021
The free vibration of rotating functionally graded nanobeams under different boundary conditions is studied based on nonlocal elasticity theory within the framework of Euler-Bernoulli and Timoshenko beam theories.
J. Fang   +3 more
semanticscholar   +1 more source

Nonlocal boundary value problems for hyperbolic-Schrödinger equations with multipoint nonlocal boundary condition

AIP Conference Proceedings, 2017
In this work, the stability estimates for the solution of the given problem for hyperbolic-Schrodinger partial differential equations with the multipoint nonlocal boundary condition are obtained. In applications, the stability estimates for the solutions of the mixed type boundary value problems for hyperbolic-Schrodinger equations are established.
Özdemir, Yıldırım, Erdoğan, Sevilay
openaire   +2 more sources

Haar based numerical solution of Fredholm-Volterra fractional integro-differential equation with nonlocal boundary conditions

, 2017
In this paper, a numerical method is proposed to solve the Fredholm-Volterra fractional integro-differential equation with nonlocal boundary conditions by using Haar wavelets.
A. Setia, B. Prakash, A. Vatsala
semanticscholar   +1 more source

On a Nonlocal BVP with Nonlinear Boundary Conditions

Results in Mathematics, 2012
We consider the existence of at least one positive solution of the problem $${-y''(t)=f(t,y(t)), y(0)=H_1(\varphi(y))+\int_{E}H_2(s,y(s))\,ds, y(1)=0}$$ , where $${y(0)=H_1(\varphi(y))+\int_{
openaire   +2 more sources

Oceanic vertical mixing: a review and a model with a nonlocal boundary layer parameterization

, 1994
If model parameterizations of unresolved physics, such as the variety of upper ocean mixing processes, are to hold over the large range of time and space scales of importance to climate, they must be strongly physically based. Observations, theories, and
W. Large, J. McWilliams, S. Doney
semanticscholar   +1 more source

An Accurate Jacobi Pseudospectral Algorithm for Parabolic Partial Differential Equations With Nonlocal Boundary Conditions

, 2015
A new spectral Jacobi–Gauss–Lobatto collocation (J–GL–C) method is developed and analyzed to solve numerically parabolic partial differential equations (PPDEs) subject to initial and nonlocal boundary conditions.
E. H. Doha, A. Bhrawy, M. Abdelkawy
semanticscholar   +1 more source

A note on nonlocal boundary value problem for elliptic-Schrödinger equations with multipoint nonlocal boundary condition

AIP Conference Proceedings, 2017
In this study, the nonlocal boundary value problem for elliptic-Schrodinger equation with multipoint nonlocal boundary condition is considered. The stability estimates for the solution of this problem are obtained. Additionally, the stability estimates of the mixed type boundary value problems for elliptic-Schrodinger equations are established in ...
Özdemir, Yıldırım, Pekonur, Esra
openaire   +3 more sources

On a class of parabolic equations with a nonlocal boundary condition

Bulletin de la Classe des sciences, 1999
The present paper is devoted to a proof of the existence, uniqueness and continuous dependence of a strong solution upon the data for a mixed problem which combines Neumann and integral conditions for a class of parabolic equations. The proof is based on an a priori estimate and on the density of the range of the linear operator associated to the ...
openaire   +2 more sources

An inverse diffusion problem with nonlocal boundary conditions

Numerical Methods for Partial Differential Equations, 2015
This article considers the inverse problem of identification of a time‐dependent thermal diffusivity together with the temperature in an one‐dimensional heat equation with nonlocal boundary and integral overdetermination conditions when a heat exchange takes place across boundary of the material.
Bülent Oğur, Mansur I. Ismailov
openaire   +2 more sources

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