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Generalized Fractional Calculus of Variations by Tatiana Odzijewicz



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About this book :-
In this thesis we introduce a generalized fractional calculus of variations. We consider variational problems containing generalized fractional integrals and derivatives and study them using standard (indirect) and direct methods. In particular, we obtain necessary optimality conditions of Euler–Lagrange type for the fundamental and isoperimetric problems, natural boundary conditions, and Noether theorems. Existence of solutions is shown under Tonelli type conditions. Moreover, we apply our results to prove existence of eigenvalues, and corresponding orthogonal eigenfunctions, to fractional Sturm–Liouville problems.

Book Detail :-
This book has following details information.
Title: Generalized Fractional Calculus of Variations by Tatiana Odzijewicz by NA
Publisher:
Series: Google Search
Year: 2013
Pages: 128
Type: PDF
Language: English
ISBN-10 #: N\A
ISBN-13 #: N\A
Country: Pakistan
License: N\A
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About Author :-
The author NA NA

Book Contents :-
conver the following topics.
1. Fractional Calculus 2. Fractional Calculus of Variations 3. Standard Methods in Fractional Variational Calculus 4. Direct Methods in Fractional Calculus of Variations 5. Application to the Sturm–Liouville Problem

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