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Expansion formula for fractional derivatives in variational problems

✍ Scribed by Atanacković, Teodor M.; Janev, Marko; Konjik, Sanja; Pilipović, Stevan; Zorica, Dušan


Book ID
120807532
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
380 KB
Volume
409
Category
Article
ISSN
0022-247X

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Variational problems with fractional der
✍ Teodor M. Atanacković; Sanja Konjik; Stevan Pilipović; Srboljub Simić 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 813 KB

A variational principle for Lagrangian densities containing derivatives of real order is formulated and the invariance of this principle is studied in two characteristic cases. Necessary and sufficient conditions for an infinitesimal transformation group (basic Nöther's identity) are obtained. These