An application to a system of $(k,ρ)$-fractional Hilfer integral equations via a measure of noncompactness
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915694852964352 |
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| author | Umbrey, Gete Kaye, Riken Lhamu, Drema Khilak, Monkhum Deuri, Bhuban Chandra |
| author_facet | Umbrey, Gete Kaye, Riken Lhamu, Drema Khilak, Monkhum Deuri, Bhuban Chandra |
| contents | 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 $(k,ρ)$-fractional Hilfer integral equations, accompanied by an appropriate example to illustrate the findings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_22000 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | An application to a system of $(k,ρ)$-fractional Hilfer integral equations via a measure of noncompactness Umbrey, Gete Kaye, Riken Lhamu, Drema Khilak, Monkhum Deuri, Bhuban Chandra Functional Analysis 26A33, 47H08, 47H09, 47H10 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 $(k,ρ)$-fractional Hilfer integral equations, accompanied by an appropriate example to illustrate the findings. |
| title | An application to a system of $(k,ρ)$-fractional Hilfer integral equations via a measure of noncompactness |
| topic | Functional Analysis 26A33, 47H08, 47H09, 47H10 |
| url | https://arxiv.org/abs/2512.22000 |