Weighted Generalized Fractional Integration by Parts and the Euler–Lagrange Equation

Integration by parts plays a crucial role in mathematical analysis, e.g., during the proof of necessary optimality conditions in the calculus of variations and optimal control. Motivated by this fact, we construct a new, right-weighted generalized fractional derivative in the Riemann–Liouville sense...

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Auteurs principaux:	Houssine Zine, El Mehdi Lotfi, Delfim F. M. Torres, Noura Yousfi
Format:	Artigo
Langue:	Inglês
Publié:	MDPI AG 2022-04-01
Collection:	Axioms
Sujets:	weighted generalized fractional calculus integration by parts formula Euler–Lagrange equation quantum mechanics calculus of variations
Accès en ligne:	https://www.mdpi.com/2075-1680/11/4/178
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