Novel Definition of Conformable Delta Fractional Derivative and Its Applications in Variational Calculus on Time Scales

Serkan Aslıyüce

Journal of Mathematics, 2026, vol. 2026, 1-7

Abstract: In this paper, we propose an enhanced definition of the conformable delta fractional derivative. Using this refined definition, we examine variational calculus problems on fractional time scales. We begin by introducing the fundamental problem in the calculus of variations and derive the corresponding Euler–Lagrange equation—a necessary condition for determining functional extrema. Our framework unifies and encompasses ordinary calculus, conformable fractional calculus, and time scale calculus as special cases. We then investigate problems with nonfixed boundary conditions, known in the literature as transversality conditions.

Date: 2026
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/jmath/2026/9135806.pdf (application/pdf)
http://downloads.hindawi.com/journals/jmath/2026/9135806.xml (application/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9135806

DOI: 10.1155/jom/9135806

Access Statistics for this article

More articles in Journal of Mathematics from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().