Variable-order Implicit Fractional Differential Equations based on the Kuratowski MNC Technique
In this manuscript, we examine the existence and the stability of solutions to the boundary value problem of Riemann-Liouville fractional differential equations of variable order. The obtained new results are based on the fixed-point theorem of Darbo and Kuratowski’s metric of noncompactness (MNK) w...
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| Main Authors: | , , , , |
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| 格式: | Article |
| 语言: | English English |
| 出版: |
Institute for Mathematical Research, Universiti Putra Malaysia
2023
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| 主题: | |
| 在线阅读: | https://eprints.ums.edu.my/id/eprint/38004/1/ABSTRACT.pdf https://eprints.ums.edu.my/id/eprint/38004/2/FULL%20TEXT.pdf https://eprints.ums.edu.my/id/eprint/38004/ https://doi.org/10.47836/mjms.17.3.05 |
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| 总结: | In this manuscript, we examine the existence and the stability of solutions to the boundary value problem of Riemann-Liouville fractional differential equations of variable order. The obtained new results are based on the fixed-point theorem of Darbo and Kuratowski’s metric of noncompactness (MNK) with the help of piece-wise constant functions. In addition, the derived fundamental results are proven suitable because they satisfy the Ulam-Hyers Rassias stability sufficient conditions. Several numerical examples were discussed too to demonstrate the reasonableness and effectiveness of the observed results. |
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