Some Leindler-type inequalities on conformable fractional integrals

Volume 32, Issue 3, pp 201--212 http://dx.doi.org/10.22436/jmcs.032.03.01

Publication Date: September 13, 2023 Submission Date: April 09, 2023 Revision Date: July 03, 2023 Accteptance Date: July 11, 2023

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Authors

S. H. Saker - Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, Egypt. G. M. Ashry - Department of Mathematics, Faculty of Science, Fayoum University, Fayoum, Egypt. M. R. Kenawy - Department of Mathematics, Faculty of Science, Fayoum University, Fayoum, Egypt.

Abstract

In this paper, we will generate some fractional Liendler type inequalities by using integration by parts, chain rule and Hölder inequality on conformable fractional calculus. As a special case, we obtain some formulas of Liendler type inequalities at \(\alpha=1\).

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Keywords

• Liendler type inequality
• conformable fractional calculus
• Hölder inequality
• chain rule
• integration by parts

MSC

•  26A33
•  26D10

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