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Open AccessArticle

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

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Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
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Department of Mathematics, Faculty of Science, Fayoum University, Fayoum 63514, Egypt
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Department of Mathematical Science, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 105862, Riyadh, Saudi 11656, Arabia
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Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia
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Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt
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Author to whom correspondence should be addressed.
Mathematics 2020, 8(3), 434; https://doi.org/10.3390/math8030434
Received: 12 February 2020 / Revised: 8 March 2020 / Accepted: 10 March 2020 / Published: 16 March 2020
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. View Full-Text
Keywords: fractional hardy’s inequality; fractional bennett’s inequality; fractional copson’s inequality; fractional leindler’s inequality; timescales; conformable fractional calculus; fractional hölder inequality fractional hardy’s inequality; fractional bennett’s inequality; fractional copson’s inequality; fractional leindler’s inequality; timescales; conformable fractional calculus; fractional hölder inequality
MDPI and ACS Style

Saker, S.; Kenawy, M.; AlNemer, G.; Zakarya, M. Some Fractional Dynamic Inequalities of Hardy’s Type via Conformable Calculus. Mathematics 2020, 8, 434.

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