Some fractional dynamic inequalities on time scales of Hardy's type

Volume 23, Issue 2, pp 98--109 http://dx.doi.org/10.22436/jmcs.023.02.03
Publication Date: October 15, 2020 Submission Date: July 22, 2020 Revision Date: August 24, 2020 Accteptance Date: September 27, 2020

Authors

A. G. Sayed - Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt. S. H. Saker - Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt. A. M. Ahmed - Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City 11884, Cairo, Egypt. - Department of Mathematics, College of Science, Jouf University, Sakaka (2014), Kingdom of Saudi Arabia.


Abstract

In this paper, we prove some new fractional dynamic inequalities on time scales of Hardy's type due to Yang and Hwang. The results will be proved by employing the chain rule, Hölder's inequality, and integration by parts on fractional time scales. Several well-known dynamic inequalities on time scales will be obtained as special cases from our results.


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ISRP Style

A. G. Sayed, S. H. Saker, A. M. Ahmed, Some fractional dynamic inequalities on time scales of Hardy's type, Journal of Mathematics and Computer Science, 23 (2021), no. 2, 98--109

AMA Style

Sayed A. G., Saker S. H., Ahmed A. M., Some fractional dynamic inequalities on time scales of Hardy's type. J Math Comput SCI-JM. (2021); 23(2):98--109

Chicago/Turabian Style

Sayed, A. G., Saker, S. H., Ahmed, A. M.. "Some fractional dynamic inequalities on time scales of Hardy's type." Journal of Mathematics and Computer Science, 23, no. 2 (2021): 98--109


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