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Existence and approximate controllability of fractional evolution equations with nonlocal conditions via resolvent operators

Fractional Calculus and Applied Analysis, 2020
In this article, we are concerned with the existence of mild solutions as well as approximate controllability for a class of fractional evolution equations with nonlocal conditions in Banach spaces.
Pengyu Chen, Xuping Zhang, Yongxiang Li
semanticscholar   +1 more source

A residual power series method for solving pseudo hyperbolic partial differential equations with nonlocal conditions

Numerical Methods for Partial Differential Equations, 2020
This article will give the residual power series method (RPSM) for solving pseudo hyperbolic partial differential equations with nonlocal conditions, RPSM is essentially based on general formula of Taylor series with residual error function.
Mahmut Modanlı   +2 more
semanticscholar   +1 more source

The Hyperbolic-Elliptic Equation with the Nonlocal Condition [PDF]

open access: possibleAIP Conference Proceedings, 2011
The nonlocal boundary value problem for a hyperbolic‐elliptic equation {utt(t)+Au(t) = f(t), 0≤t≤1,−utt(t)+Au(t) = g(t), −1≤t≤0,u(−1) =  ∑ k = 1Pαku(θk)+φ ...
Allaberen Ashyralyev   +5 more
openaire   +2 more sources

Reproducing kernel method to solve parabolic partial differential equations with nonlocal conditions

Numerical Methods for Partial Differential Equations, 2020
In this study, the parabolic partial differential equations with nonlocal conditions are solved. To this end, we use the reproducing kernel method (RKM) that is obtained from the combining fundamental concepts of the Galerkin method, and the complete ...
T. Allahviranloo, Hussein Sahihi
semanticscholar   +1 more source

Approximate controllability and existence of mild solutions for Riemann-Liouville fractional stochastic evolution equations with nonlocal conditions of order 1 < α < 2

Fractional Calculus and Applied Analysis, 2019
In this paper, we consider the existence of mild solutions and approximate controllability for Riemann-Liouville fractional stochastic evolution equations with nonlocal conditions of order 1 < α < 2.
Linxin Shu, X. Shu, J. Mao
semanticscholar   +1 more source

Mild solutions of evolution quantum stochastic differential equations with nonlocal conditions

Mathematical methods in the applied sciences, 2020
We study existence of a unique mild solution of evolution quantum stochastic differential equations with nonlocal conditions under the strong topology. Using the method of successive approximations, we do not need to transform the nonlocal problem to a ...
S. Bishop, G. A. Okeke, K. Eke
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

Nonlocal conditions for fractional differential equations

Studia Universitatis Babeş-Bolyai. Mathematica
In this work we use the method of lower and upper solutions to develop an iterative technique, which is not necessarily monotone, and combined with a fixed point theorem to prove the existence of at least one solution of nonlinear fractional differential
A. Boucherif   +2 more
semanticscholar   +1 more source

Existence and Regularity of Solutions for Some Partial Integrodifferential Equations Involving the Nonlocal Conditions

Numerical Functional Analysis and Optimization, 2019
The aim of this work is to prove some results about the existence and regularity of solutions for some partial integrodifferential equations with nonlocal conditions.
K. Ezzinbi, S. Ghnimi
semanticscholar   +1 more source

A parabolic equation with nonlocal conditions

Journal of Mathematical Sciences, 2008
For a linear parabolic equation with the principal part in divergence form, a boundary-value problem with nonlocal (irregular) conditions of integral type is considered. Sufficient conditions of the unique solvability are found for the above-mentioned problem.
openaire   +2 more sources

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