Conformable fractional derivatives and applications to Newtonian dynamic and cooling body law

Authors

  • Pedro Abrahan Parraga Cedeño Instituto de Posgrado, Universidad Técnica de Manabí, Manabí, Ecuador.
  • Miguel J. Vivas-Cortez Escuela de Ciencias Físicas y Matemáticas, Facultad de Ciencias Naturales, Pontificia Universidad Católica del Ecuador, Quito, Ecuador.
  • Oswaldo José Larreal Departamento de Matemáticas, Universidad Técnica de Manabí, Manabí, Ecuador.

DOI:

https://doi.org/10.17268/sel.mat.2022.01.03

Keywords:

Fractional derivatives, Nápoles' fractional derivative, free fall of bodies, cooling bodies

Abstract

This article presents a rigorous review of the conformable fractional derivative given by J. E. Napoles in [11], studying its classical properties, as a differential operator. Likewise, applications are given to Physics, specifically to the free fall of bodies and Newton’s law of cooling.

References

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Published

2022-07-27

How to Cite

Parraga Cedeño, P. A., Vivas-Cortez, M. J., & Larreal, O. J. (2022). Conformable fractional derivatives and applications to Newtonian dynamic and cooling body law. Selecciones Matemáticas, 9(01), 34 - 43. https://doi.org/10.17268/sel.mat.2022.01.03

Issue

Vol. 9 No. 01 (2022): January - July

Section

Articles

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