Some Novel Integral Inequalities via the Generalized (k, Ψ)-Conformable Fractional Integrals

Authors

  • Wards Department of Mathematics & Statistics, Hazara University, Mansehra 21300, Pakistan
  • Gauhar Rahman Department of Mathematics & Statistics, Hazara University, Mansehra 21300, Pakistan https://orcid.org/0000-0002-2728-7537
  • Muhammad Samraiz Department of Mathematics, University of Sargodha, Sargodha, Pakistan
  • Salma Haque Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
  • Nabil Mlaiki Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

DOI:

https://doi.org/10.37256/cm.7320269306

Keywords:

(k, Ψ)-Conformable Fractional Integral, Conformable Fractional Integral (CFI), inequalities

Abstract

The stability and uniqueness of the solutions depend on the inequalities. Bounding, simulating non-local behaviors, and resolving systems that integer-order algorithms are unable to handle are among their uses. In this paper, we examine the generalized (k, Ψ)-Conformable Fractional Integrals (CFIs), which are the k-analogues of the recently published generalized conformable fractional integrals. These integrals are reducible to other fractional integrals under specific parameter values. Finally, we present several integral inequalities pertaining to the generalized (k, Ψ)-Conformable Fractional Integrals. The classical integral inequalities can easily be restored by applying certain conditions on parameters k and Ψ.

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Published

2026-06-03

How to Cite

1.
Wards, Rahman G, Samraiz M, Haque S, Mlaiki N. Some Novel Integral Inequalities via the Generalized (<i>k</i>, Ψ)-Conformable Fractional Integrals. Contemp. Math. [Internet]. 2026 Jun. 3 [cited 2026 Nov. 14];7(3):3912-28. Available from: https://ojs.wiserpub.com/index.php/CM/article/view/9306