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Coupled fractional differential equations involving Caputo–Hadamard derivative with nonlocal boundary conditions

Mathematical methods in the applied sciences, 2020
This paper aims to study the sufficient conditions for the existence and uniqueness of solutions to the multipoint coupled boundary value problem of nonlinear Caputo–Hadamard fractional differential equations associating with nonlocal integral boundary ...
A. Nain, R. Vats, Avadhesh Kumar
semanticscholar   +1 more source

A Meshfree Computational Approach Based on Multiple-Scale Pascal Polynomials for Numerical Solution of a 2D Elliptic Problem with Nonlocal Boundary Conditions

, 2020
A two-dimensional (2D) elliptic problem with nonlocal boundary conditions on both regular and irregular domains is solved numerically by Pascal polynomial basis unified with multiple-scale techniqu...
Ö. Oruç
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.
Qi Guo, Wei Hu, Yiheng Li, Jing Wang
openaire   +3 more sources

Transcendental Bernstein series for solving reaction–diffusion equations with nonlocal boundary conditions through the optimization technique

Numerical Methods for Partial Differential Equations, 2019
In this paper, we apply transcendental Bernstein series (TBS) for solving reaction–diffusion equations with nonlocal boundary conditions which is the novel approximation tool.
Z. Avazzadeh, H. Hassani
semanticscholar   +1 more source

Nonlocal Boundary Conditions for Split-Step Padé Approximations of the Helmholtz Equation With Modified Refractive Index

IEEE Antennas and Wireless Propagation Letters, 2018
This research is concerned with the numerical methods for the electromagnetic wave propagation over the Earth's surface. Discrete nonlocal boundary conditions for the Padé parabolic equation are derived.
M. Lytaev
semanticscholar   +1 more source

On fractional differential inclusions with Nonlocal boundary conditions

Fractional Calculus and Applied Analysis, 2019
The main purpose of this paper is to study a class of boundary value problem governed by a fractional differential inclusion in a separable Banach space E Dαu(t)+λDα−1u(t)∈F(t,u(t),Dα−1u(t)),t∈[0,1]I0+βu(t)t=0=0,u(1)=I0+γu(1)$$\begin{array ...
C. Castaing   +3 more
semanticscholar   +1 more source

Free vibration analysis of graded porous circular micro/nanoplates with various boundary conditions based on the nonlocal elasticity theory

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2022
In this article, the free vibrations of graded porous circular nanoplates subjected to various boundary conditions have been investigated. It is assumed that the performance of graded porous materials varies continuously in the whole thickness, and two ...
Qing-Lu Li, S. Wang, Jinghua Zhang
semanticscholar   +1 more source

Nonlocal boundary conditions for corrugated acoustic metasurface with strong near-field interactions

, 2018
The propagation of long-wavelength sound in the presence of a metasurface made by arranging acoustic resonators periodically upon or slightly above an impervious substrate is studied.
L. Schwan   +3 more
semanticscholar   +1 more source

Evolution Problems with Nonlinear Nonlocal Boundary Conditions

Journal of Dynamics and Differential Equations, 2013
Weprovideanewapproachtoobtainsolutionsofevolutionequationswithnonlin- ear and nonlocal in time boundary conditions. Both, compact and noncompact semigroups are considered. As an example we show a "principle of huge growth": every control of a reaction-diffusion system necessarily leads to a profile preserving nonlinear huge growth for an appropriate ...
BENEDETTI, Irene   +2 more
openaire   +3 more sources

Problem with nonlocal condition on the free boundary

Ukrainian Mathematical Journal, 2012
We investigate the one-phase Florin problem for a parabolic equation with nonlocal condition. Theorems on the existence and uniqueness of a solution are proved, and a priori estimates for the solution are obtained.
R. N. Turaev, Zh. O. Takhirov
openaire   +2 more sources

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