Certain new results on the Khalil conformable fractional derivative
Keywords:
Conformable fractional derivative, Fractional Calculus Derivada fraccionaria conformable, Ca ́lculo fraccionario
Abstract
This article establishes certain important results for mathematical analysis, specifically related to conformable derivatives of fractional order, among them the following stand out: the chain rule, the Cauchy mean value theorem and L’Hopital’s rule. These results are expected to stimulate research in this area.
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References
[1] Atangana, A. Derivative with a New Parameter Theory, Methods and Applications. Academic Press: New York, NY, USA, 2016
[2] Gorenflo R. and Mainardi F., Fractional Calculus: Integral and Differential Equations of Fractional Order, in CISM Courses and Lect. 378, Springer, Vienna , 223aˆ276, (1997)
[3] Guzman P., Lugo L., Na ́poles Valdez J. E., Vivas-Cortez M. On a New Generalized Integral Operator and Certain Operating Properties. Axioms. 9(2), 1 – 14
[4] R.Khalil,M.AlHorani,A.Youseff,M.Sababheh.Anewdefinitionoffractionalderivative,J.Compu- tational and Applied Mathematics. 264, 65 – 70, (2014)
[5] S. Miller , B. Ross B. An introduction to the Fractional Calculus and Fractional Diferential Equations, John Wiley & Sons, USA, (1993)
[2] Gorenflo R. and Mainardi F., Fractional Calculus: Integral and Differential Equations of Fractional Order, in CISM Courses and Lect. 378, Springer, Vienna , 223aˆ276, (1997)
[3] Guzman P., Lugo L., Na ́poles Valdez J. E., Vivas-Cortez M. On a New Generalized Integral Operator and Certain Operating Properties. Axioms. 9(2), 1 – 14
[4] R.Khalil,M.AlHorani,A.Youseff,M.Sababheh.Anewdefinitionoffractionalderivative,J.Compu- tational and Applied Mathematics. 264, 65 – 70, (2014)
[5] S. Miller , B. Ross B. An introduction to the Fractional Calculus and Fractional Diferential Equations, John Wiley & Sons, USA, (1993)
Published
2020-12-30
How to Cite
Vivas-Cortez, M., Velasco Velasco, J. A., & Hernández Hernández, J. E. (2020). Certain new results on the Khalil conformable fractional derivative. Revista MATUA ISSN: 2389-7422, 7(1), 44-51. Retrieved from https://investigaciones.uniatlantico.edu.co/revistas/index.php/MATUA/article/view/2776
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