Browsing by Author "Makharesh, Samer D."

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Citation - WoS: 0
Citation - Scopus: 1
Bennett-Leindler nabla type inequalities via conformable fractional derivatives on time scales
(Amer inst Mathematical Sciences-aims, 2022) El-Deeb, Ahmed A.; Baleanu, Dumitru; Makharesh, Samer D.; Askar, Sameh S.; Baleanu, Dumitru; 56389
In this work, we prove several new (gamma, a)-nabla Bennett and Leindler dynamic inequalities on time scales. The results proved here generalize some known dynamic inequalities on time scales, unify and extend some continuous inequalities and their corresponding discrete analogues. Our results will be proved by using integration by parts, chain rule and Holder inequality for the (gamma, a)-nabla-fractional derivative on time scales.
Citation - WoS: 15
Citation - Scopus: 18
Dynamic Hilbert-Type Inequalities with Fenchel-Legendre Transform
(Mdpi, 2020) El-Deeb, Ahmed A.; Baleanu, Dumitru; Makharesh, Samer D.; Baleanu, Dumitru; 56389
Our work is based on the multiple inequalities illustrated in 2020 by Hamiaz and Abuelela. With the help of a Fenchel-Legendre transform, which is used in various problems involving symmetry, we generalize a number of those inequalities to a general time scale. Besides that, in order to get new results as special cases, we will extend our results to continuous and discrete calculus.
Citation - WoS: 9
Citation - Scopus: 8
On nabla conformable fractional Hardy-type inequalities on arbitrary time scales
(Springer, 2021) El-Deeb, Ahmed A.; Baleanu, Dumitru; Makharesh, Samer D.; Nwaeze, Eze R.; Iyiola, Olaniyi S.; Baleanu, Dumitru; 56389
The main aim of the present article is to introduce some new backward difference -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.
Citation - WoS: 1
Citation - Scopus: 0
On Some Important Class of Dynamic Hilbert’s-Type Inequalities on Time Scales
(Mdpi, 2022) El-Owaidy, Hassan M.; Baleanu, Dumitru; El-Deeb, Ahmed A.; Makharesh, Samer D.; Baleanu, Dumitru; Cesarano, Clemente; 56389
In this important work, we discuss some novel Hilbert-type dynamic inequalities on time scales. The inequalities investigated here generalize several known dynamic inequalities on time scales and unify and extend some continuous inequalities and their corresponding discrete analogues. Our results will be proved by using some algebraic inequalities, Holder inequality, and Jensen's inequality on time scales.