Higher-order Hahn's quantum variational calculus
Artur M. C. Brito da Cruz, Natalia Martins, Delfim F. M. Torres
TL;DR
This paper establishes a necessary optimality condition of Euler-Lagrange type for higher-order Hahn's quantum variational problems, advancing the mathematical framework of quantum calculus.
Contribution
It introduces a higher-order Euler-Lagrange condition specifically for Hahn's quantum derivatives, extending variational calculus in quantum settings.
Findings
Derived a necessary optimality condition for higher-order Hahn's derivatives.
Extended classical variational principles to quantum calculus context.
Provides a foundation for further research in quantum variational problems.
Abstract
We prove a necessary optimality condition of Euler-Lagrange type for quantum variational problems involving Hahn's derivatives of higher-order.
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