Novel Hardy-Type Inequalities Involving Delta Conformable Calculus on Arbitrary Time Scales

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.

Authors

Publication Details

Journal
Al-Azhar Bulletin of Science
Published
2025-01-01
DOI
https://doi.org/10.58675/2636-3305.1699
Citations
1
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
Field-Weighted Citation Impact
3.73
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article

Novel Hardy-Type Inequalities Involving Delta Conformable Calculus on Arbitrary Time Scales

Ahmed A. El‐Deeb, Hassan M. El‐Owaidy, A. M. Hassan
1 citations
Al-Azhar Bulletin of Science
Nonlinear Differential Equations Analysis
3.73
article

Novel Hardy-Type Inequalities Involving Delta Conformable Calculus on Arbitrary Time Scales

Ahmed A. El‐Deeb, Hassan M. El‐Owaidy, A. M. Hassan
article en
1 citations

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.

Al-Azhar Bulletin of ScienceVol. 36(1)
Reduced inequalities
Openalex Percentile: Top 9%
Nonlinear Differential Equations Analysis
3.73
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Novel Hardy-Type Inequalities Involving Delta Conformable Calculus on Arbitrary Time Scales — Ahmed A. El‐Deeb, Hassan M. El‐Owaidy, et al. · Al-Azhar Bulletin of Science (2025) | TGRS Research Map | TGRS