Newton’s law of cooling with fractional conformable derivative

• A. Ortega ^[1] ; J. Juan Rosales ^[1]
  1. [1] Universidad de Guanajuato

     Universidad de Guanajuato

     México

     
• Localización: Revista Mexicana de Física, ISSN-e 0035-001X, Vol. 64, Nº. 2, 2018, págs. 172-175
• Idioma: inglés
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• Resumen

  • The fractional conformable derivative and its properties have been introduced recently. Using this derivative we obtain a new class of smooth solutions for the Newton’s law of cooling in terms of a stretched exponential function depending on the fractional order parameter 0 < γ ≤ 1. In addition, the convection coefficient of fractional order k(γ) can be calculated easily. Also, it is shown, that in the particular case γ = 1 these solutions become the ordinary ones.