The Euler-Lagrange and Legendre equations for functionals involving distributed-order fractional derivatives

DOI10.1016/j.amc.2018.03.022zbMath1427.49018OpenAlexW2795179428MaRDI QIDQ2333193

Maria Luísa Morgado, Ricardo Almeida

Publication date: 12 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2018.03.022

zbMATH Keywords

numerical methodsEuler-Lagrange equationdistributed-order fractional derivativeLegendre condition

Mathematics Subject Classification ID

Numerical methods based on necessary conditions (49M05) Optimality conditions for free problems in one independent variable (49K05) Fractional partial differential equations (35R11)

Related Items (4)

Optimality conditions for variational problems involving distributed-order fractional derivatives with arbitrary kernels ⋮ A spectral framework for fractional variational problems based on fractional Jacobi functions ⋮ Legendre's necessary condition for fractional Bolza functionals with mixed initial/final constraints ⋮ Analysis and numerical approximation of tempered fractional calculus of variations problems

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