The duality theory of fractional calculus and a new fractional calculus of variations involving left operators only

DOI10.1007/S00009-024-02652-XzbMATH Open1540.49019MaRDI QIDQ6552240

Delfim F. M. Torres

Publication date: 8 June 2024

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

Euler-Lagrange equationsdualitydissipative systemsfractional calculusintegration by partsfractional calculus of variations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Duality theory (optimization) (49N15) Optimality conditions for free problems in one independent variable (49K05) Fractional ordinary differential equations (34A08)

Cites Work

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• The generalized fractional calculus of variations
• The variable-order fractional calculus of variations
• Advanced methods in the fractional calculus of variations
• The action principle for dissipative systems
• Dissipative Dynamical Systems
• Lagrangian descriptions of dissipative systems: a review
• Variational Integrators for Dissipative Systems
• Computational Methods in the Fractional Calculus of Variations
• Generalising the fractional calculus with Sonine kernels via conjugations

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