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Theory of Fractional Evolution Equations
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Yong Zhou
Language:
English
Published/Copyright:
2022
About this book
Fractional evolution equations provide a unifying framework to investigate wellposedness of complex systems with fractional order derivatives. This monograph presents the existence, attractivity, stability, periodic solutions and control theory for time fractional evolution equations. The book contains an up-to-date and comprehensive stuff on the topic.
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Gives a systematic presentation of the theory of fractional partial evolution equations and its research methods.
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Fills the vacuum in the literature regarding fractional evolution differential equations.
Author / Editor information
Yong Zhou, Macau Univ. of Science and Tech. and Xiangtan Univ., China; Bashir Ahmad, Ahmed Alsaedi, King Abdulaziz Univ., Saudi Arabia.
Topics
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Frontmatter
I -
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Contents
VII -
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Preface
XI -
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Introduction
XIII -
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1 Preliminaries
1 -
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2 Fractional evolution equations of order α ∈ (0, 1)
29 -
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3 Fractional control systems of order α ∈ (0, 1)
89 -
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4 Fractional evolution equations and inclusions of order α ∈ (1, 2)
129 -
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5 Fractional neutral evolution equations and inclusions
169 -
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6 Fractional evolution equations on whole real axis
215 -
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7 Discrete time fractional evolution equations
251 -
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Bibliography
313 -
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Index
323
Publishing information
Pages and Images/Illustrations in book
eBook published on:
March 21, 2022
eBook ISBN:
9783110769272
Hardcover published on:
April 4, 2022
Hardcover ISBN:
9783110769180
Pages and Images/Illustrations in book
Front matter:
16
Main content:
326
Tables:
5
Keywords for this book
Fractional evolution equations; Existence; Attractivity; Stability; Periodic solution
Audience(s) for this book
Researchers, graduate students and modelers interested in the study of differential equations.
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
