Optimality conditions for fractional variational problems with Caputo-Fabrizio fractional derivatives

DOI10.1186/s13662-017-1388-7zbMath1444.26006OpenAlexW2767748242WikidataQ59527387 ScholiaQ59527387MaRDI QIDQ1710126

Xiaojue Ma, Lifeng Li, Jianke Zhang

Publication date: 15 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-017-1388-7

zbMATH Keywords

optimality conditionsCaputo-Fabrizio fractional derivativefractional variational problems

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Fractional derivatives and integrals (26A33) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for problems involving relations other than differential equations (49K21)

Related Items (7)

Variational problems with partial fractional derivative: optimal conditions and Noether's theorem ⋮ An adaptive collocation method for solving delay fractional differential equations ⋮ Fractional variational problems on conformable calculus ⋮ New aspects of time fractional optimal control problems within operators with nonsingular kernel ⋮ Interval‐valued variational programming problem with Caputo–Fabrizio fractional derivative ⋮ Optimal control of the Cattaneo-Hristov heat diffusion model ⋮ Generalized Euler-Lagrange equations for fuzzy fractional variational problems under gH-Atangana-Baleanu differentiability

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