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arXiv · 2512.22000

An application to a system of $(k,\rho)$-fractional Hilfer integral equations via a measure of noncompactness

Gete Umbrey·Riken Kaye·Drema Lhamu·Monkhum Khilak·Bhuban Chandra Deuri
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Abstract

In our study, Darbo's fixed point theorem(DFPT) has been extended and generalized using $\mathbb{H}$-class mappings and the measure of noncompactness. Utilizing this Darbo-type theorem, we provided a solvability result for a system of a $(k,\rho)$-fractional Hilfer integral equations, accompanied by an appropriate example to illustrate the findings.

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Gete Umbrey, Riken Kaye, Drema Lhamu, Monkhum Khilak, Bhuban Chandra Deuri. 2025-12-26. An application to a system of $(k,\rho)$-fractional Hilfer integral equations via a measure of noncompactness. https://arxiv.org/abs/2512.22000

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