Solutions to Variable-Order Fractional BVPs with Multipoint Data in <i>W</i><sup>s,p</sup> Spaces
This study explores the existence of positive solutions within a Sobolev space for a boundary value problem that involves Riemann–Liouville fractional derivatives of variable order. The analysis utilizes the method of upper and lower solutions in combination with the Schauder fixed-point theorem. To...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2025-07-01
|
| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/9/7/461 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849303509114028032 |
|---|---|
| author | Zineb Bellabes Kadda Maazouz Naima Boussekkine Rosana Rodríguez-López |
| author_facet | Zineb Bellabes Kadda Maazouz Naima Boussekkine Rosana Rodríguez-López |
| author_sort | Zineb Bellabes |
| collection | DOAJ |
| description | This study explores the existence of positive solutions within a Sobolev space for a boundary value problem that involves Riemann–Liouville fractional derivatives of variable order. The analysis utilizes the method of upper and lower solutions in combination with the Schauder fixed-point theorem. To illustrate the theoretical findings, a numerical example is included. |
| format | Article |
| id | doaj-art-861184bc55ff42f182d3797a61933f4c |
| institution | Kabale University |
| issn | 2504-3110 |
| language | English |
| publishDate | 2025-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj-art-861184bc55ff42f182d3797a61933f4c2025-08-20T03:58:26ZengMDPI AGFractal and Fractional2504-31102025-07-019746110.3390/fractalfract9070461Solutions to Variable-Order Fractional BVPs with Multipoint Data in <i>W</i><sup>s,p</sup> SpacesZineb Bellabes0Kadda Maazouz1Naima Boussekkine2Rosana Rodríguez-López3Laboratory of Fundamental and Applied Mathematics (LMFAO), University of Oran 1, Ahmed Benbella, Oran 31000, AlgeriaDepartment of Mathematics, Faculty of Mathematics and Computer Science, Ibn Khaldoun University, Tiaret 14000, AlgeriaDepartment of Mathematics, Faculty of Science and Technology, Relizane University, Relizane 48000, AlgeriaCITMAga, 15782 Santiago de Compostela, SpainThis study explores the existence of positive solutions within a Sobolev space for a boundary value problem that involves Riemann–Liouville fractional derivatives of variable order. The analysis utilizes the method of upper and lower solutions in combination with the Schauder fixed-point theorem. To illustrate the theoretical findings, a numerical example is included.https://www.mdpi.com/2504-3110/9/7/461fixed point theoremupper and lower solutionsRiemann–Liouville derivativevariable order fractional operators |
| spellingShingle | Zineb Bellabes Kadda Maazouz Naima Boussekkine Rosana Rodríguez-López Solutions to Variable-Order Fractional BVPs with Multipoint Data in <i>W</i><sup>s,p</sup> Spaces Fractal and Fractional fixed point theorem upper and lower solutions Riemann–Liouville derivative variable order fractional operators |
| title | Solutions to Variable-Order Fractional BVPs with Multipoint Data in <i>W</i><sup>s,p</sup> Spaces |
| title_full | Solutions to Variable-Order Fractional BVPs with Multipoint Data in <i>W</i><sup>s,p</sup> Spaces |
| title_fullStr | Solutions to Variable-Order Fractional BVPs with Multipoint Data in <i>W</i><sup>s,p</sup> Spaces |
| title_full_unstemmed | Solutions to Variable-Order Fractional BVPs with Multipoint Data in <i>W</i><sup>s,p</sup> Spaces |
| title_short | Solutions to Variable-Order Fractional BVPs with Multipoint Data in <i>W</i><sup>s,p</sup> Spaces |
| title_sort | solutions to variable order fractional bvps with multipoint data in i w i sup s p sup spaces |
| topic | fixed point theorem upper and lower solutions Riemann–Liouville derivative variable order fractional operators |
| url | https://www.mdpi.com/2504-3110/9/7/461 |
| work_keys_str_mv | AT zinebbellabes solutionstovariableorderfractionalbvpswithmultipointdatainiwisupspsupspaces AT kaddamaazouz solutionstovariableorderfractionalbvpswithmultipointdatainiwisupspsupspaces AT naimaboussekkine solutionstovariableorderfractionalbvpswithmultipointdatainiwisupspsupspaces AT rosanarodriguezlopez solutionstovariableorderfractionalbvpswithmultipointdatainiwisupspsupspaces |