On the Fractional Variable Order Thermostat Model: Existence Theory on Cones via Piece-Wise Constant Functions
In the current manuscript, we intend to investigate the existence, uniqueness, and the stability of positive solution in relation to a fractional version of variable order thermostat model equipped with nonlocal boundary values in the Caputo sense. In fact, we will get help from the constant piece-w...
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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/10.1155/2022/8053620 |
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| _version_ | 1832564893304225792 |
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| author | Shahram Rezapour Mohammed Said Souid Zoubida Bouazza Azhar Hussain Sina Etemad |
| author_facet | Shahram Rezapour Mohammed Said Souid Zoubida Bouazza Azhar Hussain Sina Etemad |
| author_sort | Shahram Rezapour |
| collection | DOAJ |
| description | In the current manuscript, we intend to investigate the existence, uniqueness, and the stability of positive solution in relation to a fractional version of variable order thermostat model equipped with nonlocal boundary values in the Caputo sense. In fact, we will get help from the constant piece-wise functions for transforming our variable order model into an auxiliary standard model of thermostat. By Guo-Krasnoselskii’s fixed point theorem on cones, we derive the required conditions ensuring the existence property for positive solutions. An example is illustrated to examine the validity of the observed results. |
| format | Article |
| id | doaj-art-785dc962f7a44088bc85d07b1a7293a9 |
| 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-785dc962f7a44088bc85d07b1a7293a92025-02-03T01:09:52ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/8053620On the Fractional Variable Order Thermostat Model: Existence Theory on Cones via Piece-Wise Constant FunctionsShahram Rezapour0Mohammed Said Souid1Zoubida Bouazza2Azhar Hussain3Sina Etemad4Department of MathematicsDepartment of Economic SciencesLaboratory MathematicsDepartment of MathematicsDepartment of MathematicsIn the current manuscript, we intend to investigate the existence, uniqueness, and the stability of positive solution in relation to a fractional version of variable order thermostat model equipped with nonlocal boundary values in the Caputo sense. In fact, we will get help from the constant piece-wise functions for transforming our variable order model into an auxiliary standard model of thermostat. By Guo-Krasnoselskii’s fixed point theorem on cones, we derive the required conditions ensuring the existence property for positive solutions. An example is illustrated to examine the validity of the observed results.http://dx.doi.org/10.1155/2022/8053620 |
| spellingShingle | Shahram Rezapour Mohammed Said Souid Zoubida Bouazza Azhar Hussain Sina Etemad On the Fractional Variable Order Thermostat Model: Existence Theory on Cones via Piece-Wise Constant Functions Journal of Function Spaces |
| title | On the Fractional Variable Order Thermostat Model: Existence Theory on Cones via Piece-Wise Constant Functions |
| title_full | On the Fractional Variable Order Thermostat Model: Existence Theory on Cones via Piece-Wise Constant Functions |
| title_fullStr | On the Fractional Variable Order Thermostat Model: Existence Theory on Cones via Piece-Wise Constant Functions |
| title_full_unstemmed | On the Fractional Variable Order Thermostat Model: Existence Theory on Cones via Piece-Wise Constant Functions |
| title_short | On the Fractional Variable Order Thermostat Model: Existence Theory on Cones via Piece-Wise Constant Functions |
| title_sort | on the fractional variable order thermostat model existence theory on cones via piece wise constant functions |
| url | http://dx.doi.org/10.1155/2022/8053620 |
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