Perturbation properties of fractional strongly continuous cosine and sine family operators (Q2697178)

scientific article; zbMATH DE number 7675749

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English	Perturbation properties of fractional strongly continuous cosine and sine family operators	scientific article; zbMATH DE number 7675749

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instance of

scholarly article

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title

Perturbation properties of fractional strongly continuous cosine and sine family operators (English)

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Electronic Research Archive

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publication date

18 April 2023

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full work available at URL

https://arxiv.org/abs/2109.11297

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zbMATH Keywords

perturbation theory

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strongly continuous fractional operator cosine and sine functions

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infinitesimal generator

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Banach space

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perturbed fractional wave equation

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One-Parameter Semigroups for Linear Evolution Equations

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Semigroups of linear operators and applications to partial differential equations

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Ordinary differential equations in linear topological spaces. I

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Ordinary differential equations in linear topological space. II

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Cosine families and abstract nonlinear second order differential equations

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Differential equations in Banach spaces. II: Theory of cosine operator functions

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Langevin differential equations with general fractional orders and their applications to electric circuit theory

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Robust stability criterion for perturbed singular systems of linearized differential equations

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Generalized fractional controller for singular systems of differential equations

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Fractional evolution equations in Banach spaces

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A novel characteristic of solution operator for the fractional abstract Cauchy problem

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Fractional resolvents and fractional evolution equations

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Fractional abstract Cauchy problems

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General fractional differential equations of order \(\alpha \in (1,2)\) and type \(\beta \in [0,1]\) in Banach spaces

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A new characteristic property of Mittag-Leffler functions and fractional cosine functions

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A novel algebraic characteristic of fractional resolvent families

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Exponential stability and stabilization of fractional stochastic degenerate evolution equations in a Hilbert space: subordination principle

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Q4438500

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Subordination approach to multi-term time-fractional diffusion-wave equations

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Subordination in a class of generalized time-fractional diffusion-wave equations

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Mathematical modelling

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Perturbation Theory for Semi-Groups of Linear Operators

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Perturbation of strongly continuous cosine family generators

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On bounded time-dependent perturbations of operator cosine functions

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Some probability densities and fundamental solutions of fractional evolution equations

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Q4438449

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Perturbation theory for fractional evolution equations in a Banach space

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Fractional order semilinear Volterra integrodifferential equations in Banach spaces

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Q5699297

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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Mittag-Leffler Functions, Related Topics and Applications

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A novel technique for solving Sobolev-type fractional multi-order evolution equations

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Analytical solutions for the multi-term time-fractional diffusion-wave/diffusion equations in a finite domain

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Q3746374

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Mathematics(1 entry)

mardi Publication:2697178