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This accessible monograph is devoted to a rapidly developing area
on the research of qualitative theory of fractional ordinary
differential equations and evolution equations. It is
self-contained and unified in presentation, and provides the
readers the necessary background material required to go further
into the subject and explore the rich research literature. The
tools used include many classical and modern nonlinear analysis
methods such as fixed point theory, measure of noncompactness
method, topological degree method, Picard operators technique,
critical point theory and semigroups theory. This book is based on
the research work done so far by the author and other experts, and
contains comprehensive up-to-date materials on the topic.In this
third edition, four new topics have been added: Hilfer fractional
evolution equations and infinite interval problems, oscillations
and nonoscillations, fractional Hamiltonian systems, fractional
Rayleigh-Stokes equations, and wave equations. The bibliography has
also been updated and expanded.This book is useful to researchers,
graduate or PhD students dealing with fractional calculus and
applied analysis, differential equations, and related areas of
research.
"Eco- and Renewable Energy Materials" provides a survey of the
current topics and the major developmental trends in the rapidly
growing research area of clean energy materials. This book covers,
but is not limited to, photochemical materials (fuels from light),
fuel cells (electricity from fuels), batteries (electricity
storage), and hydrogen production and storage. This book is
intended as a vehicle for the dissemination of research results on
energy-based material science in the form of commissioned reviews
and commentaries. This book is for scientists and engineers
interested in energy-related materials, compounds and electronic
devices. Prof. Yong Zhou is currently serving as a full professor
at the Eco-Materials and Renewable Energy Research Center (ERERC),
Nanjing University, China.
This edited volume expands the scope of risk management beyond
finance to include resources and environment issues in China. It
presents the state-of-the-art approaches of using risk management
to effectively manage resources and environment. Both case studies
and theoretical methodologies are discussed.
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.
This monograph is devoted to the existence and stability
(Ulam-Hyers-Rassias stability and asymptotic stability) of
solutions for various classes of functional differential equations
or inclusions involving the Hadamard or Hilfer fractional
derivative. Some equations present delay which may be finite,
infinite, or state-dependent. Others are subject to impulsive
effect which may be fixed or non-instantaneous.Readers will find
the book self-contained and unified in presentation. It provides
the necessary background material required to go further into the
subject and explores the rich research literature in detail. Each
chapter concludes with a section devoted to notes and
bibliographical remarks and all abstract results are illustrated by
examples. The tools used include many classical and modern
nonlinear analysis methods such as fixed-point theorems, as well as
some notions of Ulam stability, attractivity and the measure of
non-compactness as well as the measure of weak noncompactness. It
is useful for researchers and graduate students for research,
seminars, and advanced graduate courses, in pure and applied
mathematics, physics, mechanics, engineering, biology, and all
other applied sciences.
This invaluable monograph is devoted to a rapidly developing area
on the research of qualitative theory of fractional ordinary and
partial differential equations. It provides the readers the
necessary background material required to go further into the
subject and explore the rich research literature. The tools used
include many classical and modern nonlinear analysis methods such
as fixed point theory, measure of noncompactness method,
topological degree method, the technique of Picard operators,
critical point theory and semigroup theory. Based on the research
work carried out by the authors and other experts during the past
seven years, the contents are very recent and comprehensive.In this
edition, two new topics have been added, that is, fractional
impulsive differential equations, and fractional partial
differential equations including fractional Navier-Stokes equations
and fractional diffusion equations.
Mobile Edge Artificial Intelligence: Opportunities and Challenges
presents recent advances in wireless technologies and nonconvex
optimization techniques for designing efficient edge AI systems.
The book includes comprehensive coverage on modeling, algorithm
design and theoretical analysis. Through typical examples, the
powerfulness of this set of systems and algorithms is demonstrated,
along with their abilities to make low-latency, reliable and
private intelligent decisions at network edge. With the
availability of massive datasets, high performance computing
platforms, sophisticated algorithms and software toolkits, AI has
achieved remarkable success in many application domains. As such,
intelligent wireless networks will be designed to leverage advanced
wireless communications and mobile computing technologies to
support AI-enabled applications at various edge mobile devices with
limited communication, computation, hardware and energy resources.
"Eco- and Renewable Energy Materials" provides a survey of the
current topics and the major developmental trends in the rapidly
growing research area of clean energy materials. This book covers,
but is not limited to, photochemical materials (fuels from light),
fuel cells (electricity from fuels), batteries (electricity
storage), and hydrogen production and storage. This book is
intended as a vehicle for the dissemination of research results on
energy-based material science in the form of commissioned reviews
and commentaries. This book is for scientists and engineers
interested in energy-related materials, compounds and electronic
devices. Prof. Yong Zhou is currently serving as a full professor
at the Eco-Materials and Renewable Energy Research Center (ERERC),
Nanjing University, China.
This edited volume expands the scope of risk management beyond
finance to include resources and environment issues in China. It
presents the state-of-the-art approaches of using risk management
to effectively manage resources and environment. Both case studies
and theoretical methodologies are discussed.
Over the last decade it has been shown that orphan G
protein-coupled receptors (GPCRs) can be used as targets to
discover novel neuropeptides. A dozen neuropeptides have been
identified through this approach. Each of these neuropeptides has
opened new doors for our understanding of fundamental physiological
or behavioral responses. For example the orexins, MCH and ghrelin
carry fundamental roles in regulating food intake while
neuropeptide S, neuromedin S, the prokineticins and the orexins are
major players in modulating sleep and circadian rhythms. The
chapters of this book review the latest research in the field, most
of them are written by the original discoverers of the respective
novel neuropeptide. Emphasis is set not only on their discovery but
also on their functional significance. Since many of these
neuropeptides are part of drug discovery programs, this book
impacts academic as well as pharmaceutical research.
Fractional evolution inclusions are an important form of
differential inclusions within nonlinear mathematical analysis.
They are generalizations of the much more widely developed
fractional evolution equations (such as time-fractional diffusion
equations) seen through the lens of multivariate analysis. Compared
to fractional evolution equations, research on the theory of
fractional differential inclusions is however only in its initial
stage of development. This is important because differential models
with the fractional derivative providing an excellent instrument
for the description of memory and hereditary properties, and have
recently been proved valuable tools in the modeling of many
physical phenomena. The fractional order models of real systems are
always more adequate than the classical integer order models, since
the description of some systems is more accurate when the
fractional derivative is used. The advantages of fractional
derivatization become evident in modeling mechanical and electrical
properties of real materials, description of rheological properties
of rocks and in various other fields. Such models are interesting
for engineers and physicists as well as so-called pure
mathematicians. Phenomena investigated in hybrid systems with dry
friction, processes of controlled heat transfer, obstacle problems
and others can be described with the help of various differential
inclusions, both linear and nonlinear. Fractional Evolution
Equations and Inclusions is devoted to a rapidly developing area of
the research for fractional evolution equations & inclusions
and their applications to control theory. It studies Cauchy
problems for fractional evolution equations, and fractional
evolution inclusions with Hille-Yosida operators. It discusses
control problems for systems governed by fractional evolution
equations. Finally it provides an investigation of fractional
stochastic evolution inclusions in Hilbert spaces.
Over the last decade it has been shown that orphan G
protein-coupled receptors (GPCRs) can be used as targets to
discover novel neuropeptides. A dozen neuropeptides have been
identified through this approach. Each of these neuropeptides has
opened new doors for our understanding of fundamental physiological
or behavioral responses. For example the orexins, MCH and ghrelin
carry fundamental roles in regulating food intake while
neuropeptide S, neuromedin S, the prokineticins and the orexins are
major players in modulating sleep and circadian rhythms. The
chapters of this book review the latest research in the field, most
of them are written by the original discoverers of the respective
novel neuropeptide. Emphasis is set not only on their discovery but
also on their functional significance. Since many of these
neuropeptides are part of drug discovery programs, this book
impacts academic as well as pharmaceutical research. Written for:
Neurobiologists, endocrinologists, pharmaceutical companies
Nanoscience is a rapidly evolving field of studying and working
with matter on an ultra-small scale, which was invented late in the
twentieth century. Learning from bio-systems in nature, scientists
began to design experiments to specifically couple biology with
nanofabricated materials, devices and tools. Such bio-inspired
nanoscience utilises biological processes, shape, chemical and
physical functionality of biomolecules for atom-levelly
controllable fabrication of advanced materials with extreme
precision. This book presents the current knowledge and
understanding of bio-inspired nanoscience by a collection of eleven
impressive chapters, covering several remarkable aspects. This book
will also provide researchers in these fields with the newest
developments in this rapidly evolving field for advancing research.
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