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April 15, 2026Mathematical logic quarterly

On The ( k , s )‐Hilfer Fractional Derivatives via Wirtinger‐Type Inequalities and Their Analytical Applications

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Authors

MSMuhammad SamraizAYAreej YussoufSNSaima Naheed

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Overview

The article introduces Hilfer fractional derivatives and establishes Wirtinger-type inequalities, indicating their analytical applications.

Key Points

  • This research aims to define Hilfer fractional derivatives and explore their properties through inequalities.
  • Introduced a novel definition of Hilfer fractional derivative.
  • Established fractional Wirtinger-type inequalities using Hölder's inequality.
  • Presented special cases and graphical examples to illustrate main results.
  • Demonstrated new fractional inequalities applicable in different mathematical contexts.
  • Provided examples that validate the significance of the established inequalities.
  • Applied inequalities to illustrate connections between arithmetic and geometric means.

Cite This Study

Samraiz et al. (2026) studied this question.

synapsesocial.com/papers/69df2bcae4eeef8a2a6b0b1bhttps://doi.org/10.1002/malq.70020
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  1. 1Graphical Insights and Applications of Fractional Minkowski and Fejér‐Hermite‐Hadamard Type Inequalities2026
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  3. 3Analytical approach for fractional differential hybrid inclusions involving Ψ-Hilfer fractional derivative2025
  4. 4An Extensive Study of Weighted Hilfer Fractional Calculus With Respect to Functions2025 · 1 citations
  5. 5Using the Laplace Transform Technique to Solve Hilfer Fractional Partial Differential Equations2026