Euler-Lagrange equations for Lagrangians containing complex-order fractional derivatives

DOI10.1007/S10957-016-0873-6zbMath1378.49015OpenAlexW2302152606MaRDI QIDQ1673880

Teodor M. Atanacković, Stevan Pilipović, Marko Janev, Dusan Zorica

Publication date: 27 October 2017

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-016-0873-6

zbMATH Keywords

weak convergenceEuler-Lagrange equationsexpansion formulacomplex-order fractional variational problems

Mathematics Subject Classification ID

Variational methods for problems in mechanics (70G75) Optimality conditions for problems involving ordinary differential equations (49K15) Lagrange's equations (70H03) Fractional ordinary differential equations (34A08)

Related Items (7)

Optimal approximation of analog PID controllers of complex fractional-order ⋮ Noether’s theorem for Herglotz type variational problems utilizing complex fractional derivatives ⋮ General fractional classical mechanics: action principle, Euler-Lagrange equations and Noether theorem ⋮ Noether's theorem for variational problems of Herglotz type with real and complex order fractional derivatives ⋮ On a constitutive equation of heat conduction with fractional derivatives of complex order ⋮ Variational problems of Herglotz type with complex order fractional derivatives and less regular Lagrangian ⋮ Non-linear boundary value problems involving Caputo derivatives of complex fractional order

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