Novel Hardy-Type Inequalities Involving Delta Conformable Calculus on Arbitrary Time Scales | ||||
| Al-Azhar Bulletin of Science | ||||
| Volume 2025, Issue 1, January 2025 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
| Ahmad Hassan1; Hassan El-Owaidy2; Ahmed El-Deeb3 | ||||
| 1Department of Basic Science, Higher Institute of Engineering and Technology, El Minia, Egypt | ||||
| 2Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt | ||||
| 3Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City (11884), Cairo, Egypt | ||||
| Abstract | ||||
| This article extends previous findings by obtaining a novel class of Hardy-type dynamic inequalities involving delta conformable calculus on time scales. In addition to enhancing on certain results obtained under less general assumptions, our findings contain several outcomes that have been confirmed in published research and are therefore interpreted as limited cases. The integration by parts calculation, the chain rule on delta conformable calculus time scales, and the Hölder inequality serve as demonstrations of our main findings. | ||||
| Keywords | ||||
| Delta conformable calculus; Hölder inequality; Hardy's inequality; Time scales | ||||
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