On fractional derivation and fractional convexity

Azennar, Radouane; Asbab, Sara; Hajioui, Khalid El

doi:10.47974/JIM-2114

Open Access Research Article

On fractional derivation and fractional convexity

^*Radouane AzennarCorresponding authorazennar_pf@hotmail.comFaculté des SciencesB. P. 133Ibn Tofaïl UniversityKenitra, 14000, MoroccoView full profile → , Sara AsbabSara.Asbab@uit.ac.maFaculté des SciencesB. P. 133Ibn Tofaïl UniversityKenitra, 14000, MoroccoView full profile → , Khalid El Hajiouielhajkhalid@hotmail.comFaculté d’Economie et de GestionB. P. 133Ibn Tofaïl UniversityKenitra, 14000, MoroccoView full profile →

* Corresponding author · click or hover a name for details

pp. 1529–1536Vol. 28Issue 4June 2025DOI: 10.47974/JIM-2114XML

Received:: 05 Jun 2024
Published Online:: 19 May 2025
Article type:: Research Article
Language:: EN
Article no.:: JIM-2114
Pages:: 1529–1536

Abstract

Some novel applications of the conformable fractional derivative are presented. Indeed, we generalize the inverse function theorem and the Euler’s theorem. We also propose a definition of fractional convexity for which we show certain properties and applications.

Keywords

Inverse function theorem Homogeneous function Euler’s theorem Conformable fractional derivative Fractional convexity

Subject Classifications

34K3739B6247J07

References

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