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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Real analysis
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Fractional Evolution Equations and Inclusions - Analysis and Control (Hardcover)
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Fractional Evolution Equations and Inclusions - Analysis and Control (Hardcover)
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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.
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