Perturbation properties for abstract evolution equations of fractional order

E.G. Bazhlekova

Perturbation properties for abstract evolution equations of fractional order

E.G. Bazhlekova

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We investigate the abstract evolution equation of fractional order Dau = au, a > 0, where Da is the Caputo fractional derivative of order a and A is an unbounded closed operator in a Banach space X. Some perturbation properties are presented, generalizing known facts about Co-semigroups and cosine operator functions.

Original language	English
Pages (from-to)	359-366
Journal	Fractional Calculus and Applied Analysis
Volume	2
Issue number	4
Publication status	Published - 1999

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title = "Perturbation properties for abstract evolution equations of fractional order",

abstract = "We investigate the abstract evolution equation of fractional order Dau = au, a > 0, where Da is the Caputo fractional derivative of order a and A is an unbounded closed operator in a Banach space X. Some perturbation properties are presented, generalizing known facts about Co-semigroups and cosine operator functions.",

author = "E.G. Bazhlekova",

year = "1999",

language = "English",

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pages = "359--366",

journal = "Fractional Calculus and Applied Analysis",

issn = "1311-0454",

publisher = "Springer",

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AU - Bazhlekova, E.G.

PY - 1999

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AB - We investigate the abstract evolution equation of fractional order Dau = au, a > 0, where Da is the Caputo fractional derivative of order a and A is an unbounded closed operator in a Banach space X. Some perturbation properties are presented, generalizing known facts about Co-semigroups and cosine operator functions.

M3 - Article

SN - 1311-0454

VL - 2

SP - 359

EP - 366

JO - Fractional Calculus and Applied Analysis

JF - Fractional Calculus and Applied Analysis

IS - 4

ER -

Perturbation properties for abstract evolution equations of fractional order

Abstract

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