Variational Problems with Partial Fractional Derivative: Optimal Conditions and Noether’s Theorem

Joint Authors

Feng, Yuqiang
Jiang, Jun
Li, Shougui

Source

Journal of Function Spaces

Issue

Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-14, 14 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2018-10-02

Country of Publication

Egypt

No. of Pages

14

Main Subjects

Mathematics

Abstract EN

In this paper, the necessary and sufficient conditions of optimality for variational problems with Caputo partial fractional derivative are established.

Fractional Euler-Lagrange equations are obtained.

The Legendre condition and Noether’s theorem are also presented.

American Psychological Association (APA)

Jiang, Jun& Feng, Yuqiang& Li, Shougui. 2018. Variational Problems with Partial Fractional Derivative: Optimal Conditions and Noether’s Theorem. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1186395

Modern Language Association (MLA)

Jiang, Jun…[et al.]. Variational Problems with Partial Fractional Derivative: Optimal Conditions and Noether’s Theorem. Journal of Function Spaces No. 2018 (2018), pp.1-14.
https://search.emarefa.net/detail/BIM-1186395

American Medical Association (AMA)

Jiang, Jun& Feng, Yuqiang& Li, Shougui. Variational Problems with Partial Fractional Derivative: Optimal Conditions and Noether’s Theorem. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1186395

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1186395