Presents a systematic treatment of fuzzy fractional differential
equations as well as newly developed computational methods to model
uncertain physical problems Complete with comprehensive results and
solutions, Fuzzy Arbitrary Order System: Fuzzy Fractional
Differential Equations and Applications details newly developed
methods of fuzzy computational techniquesneeded to model solve
uncertainty. Fuzzy differential equations are solved via various
analytical andnumerical methodologies, and this book presents their
importance for problem solving, prototypeengineering design, and
systems testing in uncertain environments. In recent years,
modeling of differential equations for arbitrary and fractional
order systems has been increasing in its applicability, and as
such, the authors feature examples from a variety of disciplines to
illustrate the practicality and importance of the methods within
physics, applied mathematics, engineering, and chemistry, to name a
few. The fundamentals of fractional differential equations and the
basic preliminaries of fuzzy fractional differential equations are
first introduced, followed by numerical solutions, comparisons of
various methods, and simulated results. In addition, fuzzy
ordinary, partial, linear, and nonlinear fractional differential
equations are addressed to solve uncertainty in physical systems.
In addition, this book features: * Basic preliminaries of fuzzy set
theory, an introduction of fuzzy arbitrary order differential
equations, and various analytical and numerical procedures for
solving associated problems * Coverage on a variety of fuzzy
fractional differential equations including structural, diffusion,
and chemical problems as well as heat equations and biomathematical
applications * Discussions on how to model physical problems in
terms of nonprobabilistic methods and provides systematic coverage
of fuzzy fractional differential equations and its applications *
Uncertainties in systems and processes with a fuzzy concept Fuzzy
Arbitrary Order System: Fuzzy Fractional Differential Equations and
Applications is an ideal resource for practitioners, researchers,
and academicians in applied mathematics, physics, biology,
engineering, computer science, and chemistry who need to model
uncertain physical phenomena and problems. The book is appropriate
for graduate-level courses on fractional differential equations for
students majoring in applied mathematics, engineering, physics, and
computer science.
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