Controllability of a class of heat equations with memory in one dimension
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DOI: 10.1002/mma.4221
Abstract: This paper addresses a study of the controllability for a class of heat equations with memory in one spacial dimension. Unlike the classical heat equation, a heat equation with memory in general is not null… read more here.
Keywords: class heat; equations memory; heat equations; controllability ... See more keywords
Controllability for a class of integro-differential evolution equations involving non-local initial conditions
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DOI: 10.1080/00207179.2016.1260161
Abstract: ABSTRACT This paper deals with the exact controllability for a class of first-order integro-differential evolution equations involving non-local initial conditions. By using Sadovskii fixed point theorem, exact controllability results are obtained without assuming the compactness… read more here.
Keywords: non local; integro differential; evolution equations; controllability ... See more keywords
Controllability of a Class of Impulsive ψ-Caputo Fractional Evolution Equations of Sobolev Type
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DOI: 10.3390/axioms11060283
Abstract: In this paper, we investigate the controllability of a class of impulsive ψ-Caputo fractional evolution equations of Sobolev type in Banach spaces. Sufficient conditions are presented by two new characteristic solution operators, fractional calculus, and… read more here.
Keywords: impulsive caputo; controllability class; class impulsive; evolution equations ... See more keywords