On Hardy-Hilbert Inequalities With Α-Fractional Derivatives

Hassanein, Wael S.Elsayed, Marwa Sh.Baleanu, DumitruEl-Deeb, Ahmed A.Ahmed, Marwa M.02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2024-01-172025-09-182024-01-172025-09-182023Ahmed, Marwa M.;...et.al. (2023). "On Hardy-Hilbert-type inequalities with α-fractional derivatives", AIMS Mathematics, Vol.8, No.9, pp.22097-22111.2473-6988https://doi.org/10.3934/math.20231126https://hdl.handle.net/123456789/12707Ahmed, Marwa/0000-0003-4197-5907; Hassanein, Wael/0000-0002-4679-5676; Eldeeb, Ahmed/0000-0003-2822-4092In the current manuscript, new alpha delta dynamic Hardy-Hilbert inequalities on time scales are discussed. These inequalities combine and expand a number of continuous inequalities and their corresponding discrete analogues in the literature. We shall illustrate our results using Holder's inequality on time scales and a few algebraic inequalities.eninfo:eu-repo/semantics/openAccessSteffensen'S InequalityDynamic InequalityDynamic IntegralTime ScaleOn Hardy-Hilbert Inequalities With Α-Fractional DerivativesOn Hardy-Hilbert-type inequalities with α-fractional derivativesArticle10.3934/math.202311262-s2.0-85165513271