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Fractional Differential Equations And Inclusions: Classical And Advanced Topics (Hardcover)
Loot Price: R3,122
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Fractional Differential Equations And Inclusions: Classical And Advanced Topics (Hardcover)
Series: Series On Analysis, Applications And Computation, 10
Expected to ship within 10 - 15 working days
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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.
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