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A note on the problem of geodesics curves with fractional derivative of Atangana–Baleanu

Year: 2025

Type: article

Abstract: This paper presents some properties and relations that exist between fractional operators in the sense of Riemann–Liouville and Atangana–Baleanu. In particular, a proof of the integration by parts formula is presented when the fractional derivative of Atangana–Baleanu is considered. As an application of these properties, the classical problem of determining geodesic curves in the plane is analyzed considering the fractional derivative of Atangana–Baleanu. The introduction of the fractional derivative in the functional describing the optimization problem is performed by means of the fractionalization method. The obtained results are compared with the classical problem.

Source: PÄDI Boletín Científico de Ciencias Básicas e Ingenierías del ICBI

DOI: 10.29057/icbi.v13iespecial.13480

Authors: Antonio de Jesús Colin-Luqueño, Raúl Temoltzi-Ávila

Institution: Universidad Autónoma del Estado de Hidalgo

Language: English

Topic: Fractional Differential Equations Solutions

Subfield: Modeling and Simulation

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4409885707

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