Study of Results of Katugampola Fractional Derivative and Chebyshev Inequailities

In this work, we use generalized form of Caputo-type fractional derivative and Riemann–Liouville fractional Integral which is known as Katugampola fractional derivative. This work deals with some results having applications of Katugampola fractional derivative. We discuss commutative and inverse pro...

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Detalles Bibliográficos
Autores principales: Nazeer, Nazakat, Asjad, Muhammad Imran, Azam, Muhammad Khursheed, Akgül, Ali
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer India 2022
Materias:
Original Paper
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9386673/
https://www.ncbi.nlm.nih.gov/pubmed/35996463
http://dx.doi.org/10.1007/s40819-022-01426-x
Descripción
Sumario:In this work, we use generalized form of Caputo-type fractional derivative and Riemann–Liouville fractional Integral which is known as Katugampola fractional derivative. This work deals with some results having applications of Katugampola fractional derivative. We discuss commutative and inverse property of Katugampola fractional derivative. We have also introduced Chebyshev inequalities and some other integrals inequalities applying the Katugampola fractional derivative.

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