On Λ-fractional variational calculus
<p>Pointing out that Λ-fractional analysis is the unique fractional calculus theory including mathematically acceptable fractional derivatives, variational calculus for Λ-fractional analysis is established. Since Λ-fractional analysis is a non-local procedure, global extremals are only accepte...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Published: |
Annals of Mathematics and Physics - Peertechz Publications,
2023-03-01.
|
| Subjects: | |
| Online Access: | Connect to this object online. |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
MARC
| LEADER | 00000 am a22000003u 4500 | ||
|---|---|---|---|
| 001 | peertech__10_17352_amp_000074 | ||
| 042 | |a dc | ||
| 100 | 1 | 0 | |a KA Lazopoulos |e author |
| 700 | 1 | 0 | |a AK Lazopoulos |e author |
| 245 | 0 | 0 | |a On Λ-fractional variational calculus |
| 260 | |b Annals of Mathematics and Physics - Peertechz Publications, |c 2023-03-01. | ||
| 520 | |a <p>Pointing out that Λ-fractional analysis is the unique fractional calculus theory including mathematically acceptable fractional derivatives, variational calculus for Λ-fractional analysis is established. Since Λ-fractional analysis is a non-local procedure, global extremals are only accepted. That means the extremals should satisfy not only the Euler-Lagrange equation but also the additional Weierstrass-Erdmann corner conditions. Hence non-local stability criteria are introduced. The proposed variational procedure is applied to any branch of physics, mechanics, biomechanics, etc. The present analysis is applied to the Λ-fractional refraction of light. </p> | ||
| 540 | |a Copyright © KA Lazopoulos et al. | ||
| 546 | |a en | ||
| 655 | 7 | |a Research Article |2 local | |
| 856 | 4 | 1 | |u https://doi.org/10.17352/amp.000074 |z Connect to this object online. |