Yong Zhou's Basic Theory of Fractional Differential Equations PDF

By Yong Zhou

This important booklet is dedicated to a swiftly constructing zone at the study of the qualitative concept of fractional differential equations. it really is self-contained and unified in presentation, and offers readers the mandatory history fabric required to head extra into the topic and discover the wealthy study literature.

The instruments used comprise many classical and glossy nonlinear research equipment similar to mounted aspect thought, degree of noncompactness approach, topological measure process, the Picard operators strategy, serious element idea and semigroups thought. according to examine paintings performed through the writer and different specialists in past times 4 years, the contents are very new and accomplished. it's worthy to researchers and graduate scholars for learn, seminars, and complex graduate classes, in natural and utilized arithmetic, physics, mechanics, engineering, biology, and similar disciplines.

Contents:

  • Preliminaries:
    • Introduction
    • Some Notations, suggestions and Lemmas
    • Fractional Calculus
    • Some effects from Nonlinear Analysis
    • Semigroups
  • Fractional practical Differential Equations:
    • Introduction
    • Neutral Equations with Bounded Delay
    • p-Type impartial Equations
    • Neutral Equations with endless Delay
    • Iterative useful Differential Equations
    • Notes and Remarks
  • Fractional traditional Differential Equations in Banach Spaces:
    • Introduction
    • Cauchy difficulties through degree of Noncompactness Method
    • Cauchy difficulties through Topological measure Method
    • Cauchy difficulties through Picard Operators Technique
    • Notes and Remarks
  • Fractional summary Evolution Equations:
    • Introduction
    • Evolution Equations with Riemann-Liouville Derivative
    • Evolution Equations with Caputo Derivative
    • Nonlocal Cauchy difficulties for Evolution Equations
    • Abstract Cauchy issues of virtually Sectorial Operators
    • Notes and Remarks
  • Fractional Boundary price difficulties through serious element Theory:
    • Introduction
    • Existence of resolution for BVP with Left and correct Fractional Integrals
    • Multiple recommendations for BVP with Parameters
    • Infinite strategies for BVP with Left and correct Fractional Integrals
    • Existence of recommendations for BVP with Left and correct Fractional Derivatives
    • Notes and Remarks
  • Fractional Partial Differential Equations:
    • Introduction
    • Fractional Euler-Lagrange Equations
    • Time-Fractional Diffusion Equations
    • Fractional Hamiltonian Systems
    • Fractional Schrödinger Equations
    • Notes and Remarks

Readership: Graduate scholars and researchers within the fields of fractional differential equations, fractional calculus and similar parts of research.

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Basic Theory of Fractional Differential Equations by Yong Zhou


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