Computation of Iterative Solutions Along With Stability Analysis To a Coupled System of Fractional Order Differential Equations
| dc.contributor.author | Abdeljawad, Thabet | |
| dc.contributor.author | Shah, Kamal | |
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Arif, Muhammad | |
| dc.contributor.author | Ali, Sajjad | |
| dc.date.accessioned | 2020-05-19T10:54:03Z | |
| dc.date.accessioned | 2025-09-18T16:07:24Z | |
| dc.date.available | 2020-05-19T10:54:03Z | |
| dc.date.available | 2025-09-18T16:07:24Z | |
| dc.date.issued | 2019 | |
| dc.description | Jarad, Fahd/0000-0002-3303-0623; Ali, Dr. Sajjad/0000-0002-5507-8513; Arif, Muhammad/0000-0003-1484-7643; Shah, Kamal/0000-0002-8851-4844 | en_US |
| dc.description.abstract | In this research article, we investigate sufficient results for the existence, uniqueness and stability analysis of iterative solutions to a coupled system of the nonlinear fractional differential equations (FDEs) with highier order boundary conditions. The foundation of these sufficient techniques is a combination of the scheme of lower and upper solutions together with the method of monotone iterative technique. With the help of the proposed procedure, the convergence criteria for extremal solutions are smoothly achieved. Furthermore, a major aspect is devoted to the investigation of Ulam-Hyers type stability analysis which is also established. For the verification of our work, we provide some suitable examples along with their graphical represntation and errors estimates. | en_US |
| dc.description.sponsorship | Prince Sultan University [RG-DES-2017-01-17] | en_US |
| dc.description.sponsorship | The second author 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 | Ali, S...et al. (2019). "Computation of Iterative Solutions Along With Stability Analysis to A Coupled System of Fractional Order Differential Equations",Advances in Difference Equations, Vol. 2019, No. 1. | en_US |
| dc.identifier.doi | 10.1186/s13662-019-2151-z | |
| dc.identifier.issn | 1687-1847 | |
| dc.identifier.scopus | 2-s2.0-85066468212 | |
| dc.identifier.uri | https://doi.org/10.1186/s13662-019-2151-z | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/14754 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springeropen | en_US |
| dc.relation.ispartof | Advances in Difference Equations | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Monotone Iterative Technique | en_US |
| dc.subject | Fractional Differential Equations | en_US |
| dc.subject | Extremal Solutions | en_US |
| dc.subject | Ulam Stability | en_US |
| dc.title | Computation of Iterative Solutions Along With Stability Analysis To a Coupled System of Fractional Order Differential Equations | en_US |
| dc.title | Computation of Iterative Solutions Along With Stability Analysis to A Coupled System of Fractional Order Differential Equations | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Jarad, Fahd/0000-0002-3303-0623 | |
| gdc.author.id | Ali, Dr. Sajjad/0000-0002-5507-8513 | |
| gdc.author.id | Arif, Muhammad/0000-0003-1484-7643 | |
| gdc.author.id | Shah, Kamal/0000-0002-8851-4844 | |
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| gdc.author.wosid | Abdeljawad, Thabet/T-8298-2018 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Ali, Sajjad/Aaq-8274-2020 | |
| gdc.author.wosid | Arif, Muhammad/Itt-3029-2023 | |
| gdc.author.wosid | Arif, Muhammad/E-3238-2016 | |
| gdc.author.wosid | Shah, Kamal/S-8662-2016 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Ali, Sajjad; Arif, Muhammad] Abdul Wali Khan Univ, Dept Math, Mardan, Khyber Pakhtunk, Pakistan; [Abdeljawad, Thabet] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh, Saudi Arabia; [Shah, Kamal] Univ Malakand, Dept Math, Khyber Pakhtunkhwa, Pakistan; [Jarad, Fahd] Cankaya Univ, Dept Math, Ankara, Turkey | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.volume | 2019 | |
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| gdc.oaire.keywords | Fractional differential equations | |
| gdc.oaire.keywords | Economics | |
| gdc.oaire.keywords | Geometry | |
| gdc.oaire.keywords | Integro-Differential Equations | |
| gdc.oaire.keywords | Theory and Applications of Fractional Differential Equations | |
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| gdc.oaire.keywords | Stability (learning theory) | |
| gdc.oaire.keywords | Extremal solutions | |
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| gdc.oaire.keywords | Applied Mathematics | |
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| gdc.oaire.keywords | Computation | |
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| gdc.oaire.keywords | Monotone polygon | |
| gdc.oaire.keywords | Monotone iterative technique | |
| gdc.oaire.keywords | Uniqueness | |
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| gdc.oaire.keywords | Nonlinear Systems | |
| gdc.oaire.keywords | Ordinary differential equation | |
| gdc.oaire.keywords | Difference equations, scaling (\(q\)-differences) | |
| gdc.oaire.keywords | Fractional ordinary differential equations | |
| gdc.oaire.keywords | Fractional derivatives and integrals | |
| gdc.oaire.keywords | Stability theory for difference equations | |
| gdc.oaire.keywords | fractional differential equations | |
| gdc.oaire.keywords | extremal solutions | |
| gdc.oaire.keywords | monotone iterative technique | |
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| gdc.virtual.author | Abdeljawad, Thabet | |
| gdc.virtual.author | Jarad, Fahd | |
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