Basic Theory Of Fractional Differential Equations (Third Edition)

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A01=Yong Zhou
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Almost Sectorial Operators
Approximation Solution
Author_Yong Zhou
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Boundary Value Problems
Caputo Derivative
Category1=Non-Fiction
Category=PBKJ
Cauchy Problems
Compact Semigroup
Continuous Dependence
COP=Singapore
Critical Point Theorems
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Energy Estimates
eq_isMigrated=0
eq_isMigrated=2
eq_nobargain
Existence
Extremal Solutions
Fixed Point Theorems
Fractional Calculus
Fractional Euler-Lagrange Equations
Fractional EulerAcAEURA"Lagrange Equations
Fractional Evolution Equations
Fractional Functional Differential Equations
Fractional Hamiltonian Systems
Fractional Impulsive Differential Equations
Fractional Navier-Stokes Equations
Fractional NavierAcAEURA"Stokes Equations
Fractional Ordinary Differential Equations
Fractional Partial Differential Equations
Fractional Wave Equations
Global Existence
Hilfer Derivative
Homoclinic Solutions
Initial Value Problems
Language_English
Laplace and Fourier Transforms
Local Existence
Measure of Noncompactness
Mild Solutions
Mittag-Leffler Functions
MittagAcAEURA"Leffler Functions
Multiplicity
Noncompact Semigroup
Nonlocal Problems
PA=Available
Picard Operator
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Regularity
Riemann-Liouville Derivative
RiemannAcAEURA"Liouville Derivative
Semigroups
softlaunch
Topological Degree
Uniqueness
Variational Structure
Weak Solutions
Well-Posedness

Product details

  • ISBN 9789811271687
  • Publication Date: 10 Nov 2023
  • Publisher: World Scientific Publishing Co Pte Ltd
  • Publication City/Country: SG
  • Product Form: Hardback
  • Language: English
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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.

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