Some Fractional Dynamic Inequalities of Hardy’s Type via Conformable Calculus

Samir Saker, Mohammed Kenawy, Ghada AlNemer and Mohammed Zakarya
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Samir Saker: Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Mohammed Kenawy: Department of Mathematics, Faculty of Science, Fayoum University, Fayoum 63514, Egypt
Ghada AlNemer: Department of Mathematical Science, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 105862, Riyadh, Saudi 11656, Arabia
Mohammed Zakarya: Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia

Mathematics, 2020, vol. 8, issue 3, 1-15

Abstract: In this article, we prove some new fractional dynamic inequalities on time scales via conformable calculus. By using chain rule and Hölder’s inequality on timescales we establish the main results. When α = 1 we obtain some well-known time-scale inequalities due to Hardy, Copson, Bennett and Leindler inequalities.

Keywords: fractional hardy’s inequality; fractional bennett’s inequality; fractional copson’s inequality; fractional leindler’s inequality; timescales; conformable fractional calculus; fractional hölder inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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