scientific article; zbMATH DE number 7410881
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Publication:5157488
zbMath1475.49010MaRDI QIDQ5157488
Publication date: 18 October 2021
Full work available at URL: http://online.watsci.org/abstract_pdf/2021v28/v28n5a-pdf/1.pdf
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Euler-Lagrange equationsfractional derivativestransversality conditionfractional integralsnatural boundary conditions
Optimality conditions for problems involving partial differential equations (49K20) Numerical methods based on necessary conditions (49M05) Fractional derivatives and integrals (26A33) Existence theories for optimal control problems involving relations other than differential equations (49J21)
Cites Work
- Unnamed Item
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- Generalized transversality conditions in fractional calculus of variations
- Necessary and sufficient conditions for the fractional calculus of variations with Caputo derivatives
- Calculus of variations with fractional derivatives and fractional integrals
- Fractional Hamiltonian formalism within Caputo's derivative
- Generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative
- A formulation of Noether's theorem for fractional problems of the calculus of variations
- New applications of fractional variational principles
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional calculus and its applications. Proceedings of the international conference held at the University of New Haven, June 1974
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- An efficient approximation technique for solving a class of fractional optimal control problems
- Formulation of Euler-Lagrange equations for fractional variational problems
- Jacobi and Legendre variational tests for a class of generalized fractional variational problem
- \( \alpha \)-fractionally convex functions
- A general finite element formulation for fractional variational problems
- Fractional calculus of variations for a combined Caputo derivative
- Calculus of Variations with Classical and Fractional Derivatives
- A fractional calculus of variations for multiple integrals with application to vibrating string
- A numerical scheme for the solution of a class of fractional variational and optimal control problems using the modified Jacobi polynomials
- Fractional variational calculus in terms of Riesz fractional derivatives
- Fractional variational calculus and the transversality conditions
- Generalized Euler-Lagrange equations for variational problems with scale derivatives
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