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

• Parraga Cedeño, Pedro Abrahan ^[1] ; Vivas-Cortez, Miguel J. ^[2] ; Larreal, Oswaldo José ^[1]
  1. [1] Universidad Técnica de Manabí

     Universidad Técnica de Manabí

     Portoviejo, Ecuador

     
  2. [2] Pontificia Universidad Católica del Ecuador

     Pontificia Universidad Católica del Ecuador

     Quito, Ecuador

     
• Localización: Selecciones Matemáticas, ISSN-e 2411-1783, Vol. 9, Nº. 1, 2022 (Ejemplar dedicado a: Enero - Julio), págs. 34-43
• Idioma: inglés
• DOI: 10.17268/sel.mat.2022.01.03
• Títulos paralelos:
  • Derivadas fraccionales conformables y aplicaciones a la dinámica Newtoniana y Ley de enfriamiento de los cuerpos
• Enlaces
  • Texto completo (pdf)
• Resumen
  • español

    En el presente artículo se presenta una revisión rigurosa de la derivada fraccionaria conformable dada por J. E. Nápoles en [11], estudiando las propiedades clásicas, como operador diferencial, que posee, así mismo se dan aplicaciones a la Física, específicamente a la caída libre de los cuerpos y la ley de enfriamiento de Newton.

  • English

    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.

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