Sharp Estimates of the Unique Solution for Two-Point Fractional Boundary Value Problems With Conformable Derivative
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Laadjal, Zaid | |
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.date.accessioned | 2022-12-16T12:03:18Z | |
| dc.date.accessioned | 2025-09-18T15:43:12Z | |
| dc.date.available | 2022-12-16T12:03:18Z | |
| dc.date.available | 2025-09-18T15:43:12Z | |
| dc.date.issued | 2024 | |
| dc.description | Laadjal, Zaid/0000-0003-1627-2898 | en_US |
| dc.description.abstract | In this work, we investigate the condition of the given interval which ensures the existence and uniqueness of solutions for two-point boundary value problems within conformable-type local fractional derivative. The method of analysis is obtained by the principle of contraction mapping. Furthermore, benefiting from calculating the integral of the Green's function, we are able to improve a recent result by obtaining a sharper lower bound for an eigenvalue problem. Two examples are presented to clarify the obtained results. Finally, we present an open problem for the interested reader. | en_US |
| dc.description.sponsorship | Prince Sultan University [RG-DES-2017-01-17] | en_US |
| dc.description.sponsorship | The author T. Abdeljawad would like to thank Prince Sultan University for funding this work through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) group number RG-DES-2017-01-17. | en_US |
| dc.identifier.citation | Laadjal, Zaid ; Abdeljawad, Thabet; Jarad, Fahd (2021). "Sharp estimates of the unique solution for two-point fractional boundary value problems with conformable derivative", Numerical Methods for Partial Differential Equations. | en_US |
| dc.identifier.doi | 10.1002/num.22760 | |
| dc.identifier.issn | 0749-159X | |
| dc.identifier.issn | 1098-2426 | |
| dc.identifier.scopus | 2-s2.0-85099446665 | |
| dc.identifier.uri | https://doi.org/10.1002/num.22760 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/13887 | |
| dc.language.iso | en | en_US |
| dc.publisher | Wiley | en_US |
| dc.relation.ispartof | Numerical Methods for Partial Differential Equations | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Conformable Fractional Derivative | en_US |
| dc.subject | Eigenvalue Problem | en_US |
| dc.subject | Green'S Function | en_US |
| dc.subject | Two Point Boundary Value Problem | en_US |
| dc.subject | Unique Solution | en_US |
| dc.title | Sharp Estimates of the Unique Solution for Two-Point Fractional Boundary Value Problems With Conformable Derivative | en_US |
| dc.title | Sharp estimates of the unique solution for two-point fractional boundary value problems with conformable derivative | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Abdeljawad, Thabet/T-8298-2018 | |
| gdc.author.wosid | Laadjal, Zaid/Aeq-4744-2022 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Laadjal, Zaid] Abbes Laghrour Univ, ICOSI Lab, Dept Math & Comp Sci, Khenchela, Algeria; [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia; [Abdeljawad, Thabet] China Med Univ, Dept Med Res, Taichung, Taiwan; [Abdeljawad, Thabet] Asia Univ, Dept Comp Sci & Informat Engn, Taichung, Taiwan; [Jarad, Fahd] Cankaya Univ, Dept Math, Ankara, Turkiye | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 40 | en_US |
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| gdc.oaire.keywords | conformable fractional derivative | |
| gdc.oaire.keywords | Nonlinear boundary value problems for ordinary differential equations | |
| gdc.oaire.keywords | Green's functions for ordinary differential equations | |
| gdc.oaire.keywords | eigenvalue problem | |
| gdc.oaire.keywords | Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc. | |
| gdc.oaire.keywords | two point boundary value problem | |
| gdc.oaire.keywords | unique solution | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
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| gdc.virtual.author | Jarad, Fahd | |
| gdc.virtual.author | Abdeljawad, Thabet | |
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