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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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
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author Nazeer, Nazakat
Asjad, Muhammad Imran
Azam, Muhammad Khursheed
Akgül, Ali
author_facet Nazeer, Nazakat
Asjad, Muhammad Imran
Azam, Muhammad Khursheed
Akgül, Ali
author_sort Nazeer, Nazakat
collection PubMed
description 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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spelling pubmed-93866732022-08-18 Study of Results of Katugampola Fractional Derivative and Chebyshev Inequailities Nazeer, Nazakat Asjad, Muhammad Imran Azam, Muhammad Khursheed Akgül, Ali Int J Appl Comput Math Original Paper 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. Springer India 2022-08-18 2022 /pmc/articles/PMC9386673/ /pubmed/35996463 http://dx.doi.org/10.1007/s40819-022-01426-x Text en © The Author(s), under exclusive licence to Springer Nature India Private Limited 2022, Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.
spellingShingle Original Paper
Nazeer, Nazakat
Asjad, Muhammad Imran
Azam, Muhammad Khursheed
Akgül, Ali
Study of Results of Katugampola Fractional Derivative and Chebyshev Inequailities
title Study of Results of Katugampola Fractional Derivative and Chebyshev Inequailities
title_full Study of Results of Katugampola Fractional Derivative and Chebyshev Inequailities
title_fullStr Study of Results of Katugampola Fractional Derivative and Chebyshev Inequailities
title_full_unstemmed Study of Results of Katugampola Fractional Derivative and Chebyshev Inequailities
title_short Study of Results of Katugampola Fractional Derivative and Chebyshev Inequailities
title_sort study of results of katugampola fractional derivative and chebyshev inequailities
topic Original Paper
url 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
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