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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Bibliographic Details
Main Authors: Houssine Zine, El Mehdi Lotfi, Delfim F. M. Torres, Noura Yousfi
Format: Article
Language:English
Published: MDPI AG 2022-04-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/11/4/178