Abstract
AbstractThe main aim of the present article is to introduce some new ∇-conformable dynamic inequalities of Hardy type on time scales. We present and prove several results using chain rule and Fubini’s theorem on time scales. Our results generalize, complement, and extend existing results in the literature. Many special cases of the proposed results, such as new conformable fractional h-sum inequalities, new conformable fractional q-sum inequalities, and new classical conformable fractional integral inequalities, are obtained and analyzed.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Reference49 articles.
1. Abd El-Hamid, H.A., Rezk, H.M., Ahmed, A.M., AlNemer, G., Zakarya, M., El Saify, H.A.: Some dynamic Hilbert-type inequalities for two variables on time scales. J. Inequal. Appl. 2021(1), 1 (2021)
2. Abdel-Moneim El-Deeb, A., Bazighifan, O., Awrejcewicz, J.: A variety of dynamic Steffensen-type inequalities on a general time scale. Symmetry 13(9), 1738 (2021)
3. Abdeldaim, A., El-Deeb, A.A.: On generalized of certain retarded nonlinear integral inequalities and its applications in retarded integro-differential equations (2015)
4. Abdeljawad, T.: On conformable fractional calculus. J. Comput. Appl. Math. 279, 57–66 (2015)
5. Adil Khan, M., Ali, T., Dragomir, S.S., Sarikaya, M.Z.: Hermite–Hadamard type inequalities for conformable fractional integrals. Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat. 112(4), 1033–1048 (2018)
Cited by
8 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献