A new conformable fractional derivative and applications

• Stojiljkovic, Vuk ^[1]
  1. [1] University of Novi Sad

     University of Novi Sad

     RS.VO.6.3194359, Serbia

     
• Localización: Selecciones Matemáticas, ISSN-e 2411-1783, Vol. 9, Nº. 2, 2022 (Ejemplar dedicado a: August - December), págs. 370-380
• Idioma: inglés
• DOI: 10.17268/sel.mat.2022.02.12
• Títulos paralelos:
  • Una nueva derivada fraccionaria conforme y aplicaciones
• Enlaces
  • Texto completo (pdf)
• Resumen
  • español

    La motivacion de este artículo proviene de otros artículos que tratan las derivadas fraccionarias. Introducimos una nueva definición de derivada fraccionaria que obedece a propiedades clásicas que incluyen la linealidad, la regla del producto, la regla del cociente, la regla de la potencia, la regla de la cadena, elteorema de Rolle, teorema del valor medio y series de Taylor. El uso de esta derivada definida se proporciona en la seccion de ejemplo donde se muestra cómo se puede usar nuestra derivada para resolver ecuaciones diferenciales. La comparacion de nuestra derivada con la derivada definida por Abdejjawad y las conclusiones generales se dan en la seccion de conclusiones.

  • English

    The motivation for this paper comes from other papers treating the fractional derivatives. We introducea new definition of fractional derivative which obeys classical properties including linearity, product rule, quotient rule, power rule, chain rule, Rolle’s theorem, mean value theorem and Taylor series. Usage of thedefined derivative is given in the example section which shows how our derivative can be used in solving differential equations. Comparison of our derivative with the derivative defined by Abdejjawad and overall conclusions are given in the conclusion section.

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