Darbo Fixed Point Criterion on Solutions of a Hadamard Nonlinear Variable Order Problem and Ulam-Hyers-Rassias Stability
The existence aspects along with the stability of solutions to a Hadamard variable order fractional boundary value problem are investigated in this research study. Our results are obtained via generalized intervals and piecewise constant functions and the relevant Green function, by converting the e...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/1769359 |
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| author | Shahram Rezapour Zoubida Bouazza Mohammed Said Souid Sina Etemad Mohammed K. A. Kaabar |
| author_facet | Shahram Rezapour Zoubida Bouazza Mohammed Said Souid Sina Etemad Mohammed K. A. Kaabar |
| author_sort | Shahram Rezapour |
| collection | DOAJ |
| description | The existence aspects along with the stability of solutions to a Hadamard variable order fractional boundary value problem are investigated in this research study. Our results are obtained via generalized intervals and piecewise constant functions and the relevant Green function, by converting the existing Hadamard variable order fractional boundary value problem to an equivalent standard Hadamard fractional boundary problem of the fractional constant order. Further, Darbo’s fixed point criterion along with Kuratowski’s measure of noncompactness is used in this direction. As well as, the Ulam-Hyers-Rassias stability of the proposed Hadamard variable order fractional boundary value problem is established. A numerical example is presented to express our results’ validity. |
| format | Article |
| id | doaj-art-d2d69776f2f44bba944acc60193bb487 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-d2d69776f2f44bba944acc60193bb4872025-08-20T03:24:07ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/1769359Darbo Fixed Point Criterion on Solutions of a Hadamard Nonlinear Variable Order Problem and Ulam-Hyers-Rassias StabilityShahram Rezapour0Zoubida Bouazza1Mohammed Said Souid2Sina Etemad3Mohammed K. A. Kaabar4Department of MathematicsLaboratory of MathematicsDepartment of Economic SciencesDepartment of MathematicsGofa CampThe existence aspects along with the stability of solutions to a Hadamard variable order fractional boundary value problem are investigated in this research study. Our results are obtained via generalized intervals and piecewise constant functions and the relevant Green function, by converting the existing Hadamard variable order fractional boundary value problem to an equivalent standard Hadamard fractional boundary problem of the fractional constant order. Further, Darbo’s fixed point criterion along with Kuratowski’s measure of noncompactness is used in this direction. As well as, the Ulam-Hyers-Rassias stability of the proposed Hadamard variable order fractional boundary value problem is established. A numerical example is presented to express our results’ validity.http://dx.doi.org/10.1155/2022/1769359 |
| spellingShingle | Shahram Rezapour Zoubida Bouazza Mohammed Said Souid Sina Etemad Mohammed K. A. Kaabar Darbo Fixed Point Criterion on Solutions of a Hadamard Nonlinear Variable Order Problem and Ulam-Hyers-Rassias Stability Journal of Function Spaces |
| title | Darbo Fixed Point Criterion on Solutions of a Hadamard Nonlinear Variable Order Problem and Ulam-Hyers-Rassias Stability |
| title_full | Darbo Fixed Point Criterion on Solutions of a Hadamard Nonlinear Variable Order Problem and Ulam-Hyers-Rassias Stability |
| title_fullStr | Darbo Fixed Point Criterion on Solutions of a Hadamard Nonlinear Variable Order Problem and Ulam-Hyers-Rassias Stability |
| title_full_unstemmed | Darbo Fixed Point Criterion on Solutions of a Hadamard Nonlinear Variable Order Problem and Ulam-Hyers-Rassias Stability |
| title_short | Darbo Fixed Point Criterion on Solutions of a Hadamard Nonlinear Variable Order Problem and Ulam-Hyers-Rassias Stability |
| title_sort | darbo fixed point criterion on solutions of a hadamard nonlinear variable order problem and ulam hyers rassias stability |
| url | http://dx.doi.org/10.1155/2022/1769359 |
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