A. M. Hassan - Department of Basic Science, Higher Institute of Engineering and Technology, El Minia, Egypt. - Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt. H. M. El-Owaidy - Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt. A. A. El-Deeb - Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt.
The main objective of this study is to demonstrate several novel Hardy-type inequalities via delta conformable calculus within time scales framework. Using the chain rule, Hölder inequality and integration by parts via conformable calculus on time scales, we demonstrate and validate a number of results. Our findings expand upon, enhance, and generalize earlier findings in the literature. The proposed results yield and examine several specific instances, including new conformable fractional \(h\)-sum inequalities, new conformable fractional \(q\)-sum inequalities, as well as new classical conformable fractional integral inequalities.
A. M. Hassan, H. M. El-Owaidy, A. A. El-Deeb, Generalized Hardy-type inequalities using delta conformable calculus on time scales, Journal of Mathematics and Computer Science, 40 (2026), no. 2, 156--181
Hassan A. M., El-Owaidy H. M., El-Deeb A. A., Generalized Hardy-type inequalities using delta conformable calculus on time scales. J Math Comput SCI-JM. (2026); 40(2):156--181
Hassan, A. M., El-Owaidy, H. M., El-Deeb, A. A.. "Generalized Hardy-type inequalities using delta conformable calculus on time scales." Journal of Mathematics and Computer Science, 40, no. 2 (2026): 156--181
