Generalized Fractional Calculus of Variations by Tatiana Odzijewicz
Generalized Fractional Calculus of Variations - Table of Contents
- Introduction
- PART I. SYNTHESIS
- 1. Fractional Calculus
- 2. Fractional Calculus of Variations
- PART II. ORIGINAL WORK
- 3. Standard Methods in Fractional Variational Calculus
- 4. Direct Methods in Fractional Calculus of Variations
- 5. Application to the Sturm–Liouville Problem
What You Will Learn in Generalized Fractional Calculus of Variations
Generalized Fractional Calculus of Variations by Tatiana Odzijewicz is an advanced, authoritative research monograph designed for graduate students, researchers, and professional mathematicians working in applied analysis and optimal control. The text bridges classical variational calculus with modern non-local fractional operators, covering core advanced topics such as Generalized Fractional Derivatives and Integrals, Integration by Parts Formulae for Fractional Operators, Fractional Euler-Lagrange Equations, and Hamiltonian Formulations of Fractional Variational Problems.
This book serves as an invaluable guide for applied mathematicians, control theorists, and theoretical physicists who seek to model complex physical phenomena characterized by memory effects and non-local interactions. Odzijewicz combines rigorous analytical proofs with structured theoretical frameworks, ensuring readers understand both the mathematical foundations and advanced problem-solving techniques of fractional optimization.
Due to its systematic approach and innovative contributions, it is widely recognized as an outstanding reference for modern fractional calculus and variational analysis. Rather than focusing solely on traditional integer-order formulations, it equips advanced learners with the powerful analytical tools necessary for advanced physics modeling, non-local mechanics, and optimal control systems.
Book Details & Specifications
Title:
Generalized Fractional Calculus of Variations by Tatiana Odzijewicz
Publisher:
Arxiv
Year:
2013
Pages:
128
Type:
PDF
Language:
English
ISBN-10 #:
N\A
ISBN-13 #:
N\A
License:
Arxiv License
Amazon:
Amazon
About the Author: Tatiana Odzijewicz
The author Tatiana Odzijewicz
is a distinguished contemporary mathematician and researcher specializing in the calculus of variations, fractional differential equations, and optimal control theory.
Through Generalized Fractional Calculus of Variations, Odzijewicz successfully synthesized complex non-local operator theories into a clear, structured monograph. Her rigorous mathematical expertise and innovative perspective make this text a masterpiece resource for advanced fractional variational analysis.
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