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WORLD SCIENTIFIC eBooks· 2013· Book chapter

Basic Theory of Fractional Differential Equations

Yong Zhou

Short summary

This book provides a comprehensive introduction to the fundamental theory of fractional differential equations (FDEs), covering existence, uniqueness, and continuation of mild solutions.

AI-generated from the title and abstract; the full text is not read.

Key points

  • Introduces the basic theory of fractional differential equations (FDEs).
  • Covers existence, uniqueness, and continuation of mild solutions.
  • Explores applications in fractional functional, abstract, evolution, boundary value, and Schrödinger equations.
  • Utilizes advanced mathematical tools like C0-semigroups and variational approaches.

AI-generated from the title and abstract; the full text is not read.

Abstract

Fractional Functional Differential Equations Fractional Abstract Differential Equations Fractional Evolution Equations Fractional Boundary Value Problems Fractional Schrodinger Equations Fractional Euler - Lagrange Equations Time-Fractional Diffusion Equations Fractional Hamiltonian Systems Existence and Uniqueness Continuation Mild Solutions C0-semigroup Almost Sectorial Operators Multiplicity Variational Approach Critical Point Theory.

The authors' abstract, as published at the source. WORLD SCIENTIFIC eBooks, 2013 · DOI ↗

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Field: Modeling and Simulation

Modeling and SimulationMathematics