Integrodifferential evolution systems with nonlocal initial conditions [PDF]
Studia Universitatis Babes-Bolyai Matematica, 2020 The paper deals with systems of abstract integrodifferential equations subject to general nonlocal initial conditions. In order to allow the nonlinear terms of the equations to behave independently as much as possible, we use a vector approach based on matrices, vector-valued norms and a vector version of Krasnoselskii's fixed point theorem for a sum ...
Sylvain Koumla, Radu Precup
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Mathematical Models with Nonlocal Initial Conditions: An Exemplification from Quantum Mechanics [PDF]
Mathematical and Computational Applications, 2021 Nonlocal models are ubiquitous in all branches of science and engineering, with a rapidly expanding range of mathematical and computational applications due to the ability of such models to capture effects and phenomena that traditional models cannot ...
Dmytro Sytnyk, Roderick Melnik
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Existence results for systems with nonlinear coupled nonlocal initial conditions [PDF]
Mathematica Bohemica, 2015 The purpose of the present work is to study the existence of solutions to initial value problems for nonlinear first order differential systems with nonlinear nonlocal boundary conditions of functional type. The existence results are established by means of the Perov, Schauder and Leray-Schauder fixed point principles combined with a technique based on
Bolojan Nica O +2 more
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Reaction Diffusion Equations with Nonlocal Boundary and Nonlocal Initial Conditions [PDF]
Journal of Mathematical Analysis and Applications, 1995 The author considers the existence, multiplicity, and asymptotic behavior of solutions for a reaction diffusion equation under nonlocal boundary and nonlocal initial conditions. The main results are the theorems about the existence of multiple solutions for both the time-dependent and the steady-state problems, and that each of the time-dependent ...
Pao, C.V.
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Evolution equations with nonlocal initial conditions and superlinear growth [PDF]
Journal of Differential Equations, 2022 We carry out an analysis of the existence of solutions for a class of nonlinear partial differential equations of parabolic type. The equation is associated to a nonlocal initial condition, written in general form which includes, as particular cases, the Cauchy multipoint problem, the weighted mean value problem and the periodic problem. The dynamic is
Benedetti I., Ciani S.
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Fractional Neutral Integro-Differential Equations with Nonlocal Initial Conditions [PDF]
MathematicsWe primarily investigate the existence of solutions for fractional neutral integro-differential equations with nonlocal initial conditions, which are crucial for understanding natural phenomena.
Zhiyuan Yuan +4 more
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Fractional parabolic problems with a nonlocal initial condition [PDF]
Moroccan Journal of Pure and Applied Analysis, 2017 Abstract In this work we will consider a class of non local parabolic problems with nonlocal initial condition, more precisely we deal with the problem where is a bounded domain, the function a can be a singular potential, g is a suitable function which will be specified ...
Abdellaoui B. +2 more
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Approximate Controllability of Semilinear Stochastic Integrodifferential System with Nonlocal Conditions [PDF]
Fractal and Fractional, 2018 The objective of this paper is to analyze the approximate controllability of a semilinear stochastic integrodifferential system with nonlocal conditions in Hilbert spaces.
Annamalai Anguraj, K. Ramkumar
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Exact Controllability for Hilfer Fractional Differential Inclusions Involving Nonlocal Initial Conditions [PDF]
Complexity, 2018 The exact controllability results for Hilfer fractional differential inclusions involving nonlocal initial conditions are presented and proved. By means of the multivalued analysis, measure of noncompactness method, fractional calculus combined with the ...
Jun Du +3 more
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Hilfer fractional evolution hemivariational inequalities with nonlocal initial conditions and optimal controls [PDF]
Nonlinear Analysis, 2019 In this paper, we mainly consider a control system governed by a Hilfer fractional evolution hemivariational inequality with a nonlocal initial condition.
Yatian Pei, Yong-Kui Chang
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