On Stable Iterative Solutions for a Class of Boundary Value Problem of Nonlinear Fractional Order Differential Equations
| dc.contributor.author | Shah, Kamal | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Ali, Sajjad | |
| dc.date.accessioned | 2020-02-28T12:18:50Z | |
| dc.date.accessioned | 2025-09-18T12:49:31Z | |
| dc.date.available | 2020-02-28T12:18:50Z | |
| dc.date.available | 2025-09-18T12:49:31Z | |
| dc.date.issued | 2019 | |
| dc.description | Ali, Dr. Sajjad/0000-0002-5507-8513; Jarad, Fahd/0000-0002-3303-0623; Shah, Kamal/0000-0002-8851-4844 | en_US |
| dc.description.abstract | In this article, sufficient conditions for the existence of extremal solutions to nonlinear boundary value problem (BVP) of fractional order differential equations (FDEs) are provided. By using the method of monotone iterative technique together with upper and lower solutions, conditions for the existence and approximation of minimal and maximal solutions to the BVP under consideration are constructed. Some adequate results for different kinds of Ulam stability are investigated. Maximum error estimates for the corresponding solutions are given as well. Two examples are provided to illustrate the results. | en_US |
| dc.identifier.citation | Ali, Sajjad; Shah, Kamal; Jarad, Fahd, "On stable iterative solutions for a class of boundary value problem of nonlinear fractional order differential equations", Mathematical Methods in the Applied Sciences, Vol. 42, No. 3, pp. 969-981, (2019). | en_US |
| dc.identifier.doi | 10.1002/mma.5407 | |
| dc.identifier.issn | 0170-4214 | |
| dc.identifier.issn | 1099-1476 | |
| dc.identifier.scopus | 2-s2.0-85057465806 | |
| dc.identifier.uri | https://doi.org/10.1002/mma.5407 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12377 | |
| dc.language.iso | en | en_US |
| dc.publisher | Wiley | en_US |
| dc.relation.ispartof | Mathematical Methods in the Applied Sciences | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fractional Differential Equations | en_US |
| dc.subject | Monotone Iterative Technique | en_US |
| dc.subject | Ulam Stability | en_US |
| dc.subject | Upper And Lower Solutions Extremal Solutions | en_US |
| dc.title | On Stable Iterative Solutions for a Class of Boundary Value Problem of Nonlinear Fractional Order Differential Equations | en_US |
| dc.title | On stable iterative solutions for a class of boundary value problem of nonlinear fractional order differential equations | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Ali, Dr. Sajjad/0000-0002-5507-8513 | |
| gdc.author.id | Jarad, Fahd/0000-0002-3303-0623 | |
| gdc.author.id | Shah, Kamal/0000-0002-8851-4844 | |
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| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Ali, Sajjad/Juu-9032-2023 | |
| gdc.author.wosid | Shah, Kamal/S-8662-2016 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Ali, Sajjad] Shaheed Benazir Bhutto Univ Sheringal, Dept Math, Dir Upper, Khyber Pakhtunk, Pakistan; [Shah, Kamal] Univ Malakand, Dept Math, Dir Lower, Khyber Pakhtunk, Pakistan; [Jarad, Fahd] Cankaya Univ, Dept Math, TR-06790 Ankara, Turkey | en_US |
| gdc.description.endpage | 981 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 969 | en_US |
| gdc.description.volume | 42 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
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| gdc.oaire.keywords | Nonlinear boundary value problems for ordinary differential equations | |
| gdc.oaire.keywords | Ulam stability | |
| gdc.oaire.keywords | fractional differential equations | |
| gdc.oaire.keywords | monotone iterative technique | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | upper and lower solutions extremal solutions | |
| gdc.oaire.keywords | Theoretical approximation of solutions to ordinary differential equations | |
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| gdc.virtual.author | Jarad, Fahd | |
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