Boundary Value Problem of Weighted Fractional Derivative of a Function With a Respect To Another Function of Variable Order
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Alqudah, Manar A. | |
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.author | Benia, Kheireddine | |
| dc.contributor.author | Souid, Mohammed Said | |
| dc.date.accessioned | 2024-05-29T13:09:39Z | |
| dc.date.accessioned | 2025-09-18T12:49:38Z | |
| dc.date.available | 2024-05-29T13:09:39Z | |
| dc.date.available | 2025-09-18T12:49:38Z | |
| dc.date.issued | 2023 | |
| dc.description | Mohammed Said, Souid/0000-0002-4342-5231 | en_US |
| dc.description.abstract | This study aims to resolve weighted fractional operators of variable order in specific spaces. We establish an investigation on a boundary value problem of weighted fractional derivative of one function with respect to another variable order function. It is essential to keep in mind that the symmetry of a transformation for differential equations is connected to local solvability, which is synonymous with the existence of solutions. As a consequence, existence requirements for weighted fractional derivative of a function with respect to another function of constant order are necessary. Moreover, the stability with in Ulam-Hyers-Rassias sense is reviewed. The outcomes are derived using the Kuratowski measure of non-compactness. A model illustrates the trustworthiness of the observed results. | en_US |
| dc.description.sponsorship | Manar A. Alqudah: Princess Nourah bint Abdul rahman University Researchers Supporting Project number (PNURSP2023R14), Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia. The author T. Abdeljawad would like to thank Prince sultan University f [PNURSP2023R14]; Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia; TAS research lab | en_US |
| dc.description.sponsorship | Manar A. Alqudah: Princess Nourah bint Abdul rahman University Researchers Supporting Project number (PNURSP2023R14), Princess Nourah bint Abdulrahman University, Riyadh, Saudi Arabia. The author T. Abdeljawad would like to thank Prince sultan University for the support through the TAS research lab. | en_US |
| dc.identifier.citation | Benia, Kheireddine...et al. (2023). "Boundary value problem of weighted fractional derivative of a function with a respect to another function of variable order", Journal of Inequalities and Applications, Vol. 2023, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13660-023-03042-9 | |
| dc.identifier.issn | 1029-242X | |
| dc.identifier.scopus | 2-s2.0-85173710659 | |
| dc.identifier.uri | https://doi.org/10.1186/s13660-023-03042-9 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12429 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer | en_US |
| dc.relation.ispartof | Journal of Inequalities and Applications | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Weighted Fractional Integrals | en_US |
| dc.subject | Weighted Spaces Of Summable Functions | en_US |
| dc.subject | Fixed Point Theorem | en_US |
| dc.subject | Derivatives And Integrals Of Variable Order | en_US |
| dc.subject | Boundary Value Problem | en_US |
| dc.subject | Measure Of Non-Compactness | en_US |
| dc.title | Boundary Value Problem of Weighted Fractional Derivative of a Function With a Respect To Another Function of Variable Order | en_US |
| dc.title | Boundary value problem of weighted fractional derivative of a function with a respect to another function of variable order | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Mohammed Said, Souid/0000-0002-4342-5231 | |
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| gdc.author.wosid | Alqudah, Manar/Aba-1904-2020 | |
| gdc.author.wosid | Mekawy, Ibrahim/Gza-8935-2022 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Benia, Kheireddine] Ibn Khaldoun Univ, Dept Math, Tiaret, Algeria; [Souid, Mohammed Said] Ibn Khaldoun Univ, Dept Econ Sci, Tiaret, Algeria; [Jarad, Fahd] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06790 Ankara, Turkiye; [Alqudah, Manar A.] Princess Nourah Bint Abdulrahman Univ, Fac Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia; [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Sci, Riyadh 11586, Saudi Arabia; [Abdeljawad, Thabet] China Med Univ, Dept Med Res, Taichung 40402, Taiwan; [Abdeljawad, Thabet] Kyung Hee Univ, Dept Math, 26 Kyungheedae Ro, Seoul 02447, South Korea; [Abdeljawad, Thabet] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, ZA-0204 Garankuwa, Medunsa, South Africa | en_US |
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| gdc.description.volume | 2023 | en_US |
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