On Stability of Nonautonomous Perturbed Semilinear Fractional Differential Systems of Order α∈(1,2)
We study the Mittag-Leffler and class-K function stability of fractional differential equations with order α∈(1,2). We also investigate the comparison between two systems with Caputo and Riemann-Liouville derivatives. Two examples related to fractional-order Hopfield neural networks with constant ex...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2018/1723481 |
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| _version_ | 1832545739288346624 |
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| author | Mohammed M. Matar Esmail S. Abu Skhail |
| author_facet | Mohammed M. Matar Esmail S. Abu Skhail |
| author_sort | Mohammed M. Matar |
| collection | DOAJ |
| description | We study the Mittag-Leffler and class-K function stability of fractional differential equations with order α∈(1,2). We also investigate the comparison between two systems with Caputo and Riemann-Liouville derivatives. Two examples related to fractional-order Hopfield neural networks with constant external inputs and a marine protected area model are introduced to illustrate the applicability of stability results. |
| format | Article |
| id | doaj-art-c7c08c4e1e7f44eeb0af37008d7e3f84 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-c7c08c4e1e7f44eeb0af37008d7e3f842025-02-03T07:24:50ZengWileyJournal of Mathematics2314-46292314-47852018-01-01201810.1155/2018/17234811723481On Stability of Nonautonomous Perturbed Semilinear Fractional Differential Systems of Order α∈(1,2)Mohammed M. Matar0Esmail S. Abu Skhail1Mathematics Department, Al-Azhar University-Gaza, State of PalestineMathematics Department, Al-Azhar University-Gaza, State of PalestineWe study the Mittag-Leffler and class-K function stability of fractional differential equations with order α∈(1,2). We also investigate the comparison between two systems with Caputo and Riemann-Liouville derivatives. Two examples related to fractional-order Hopfield neural networks with constant external inputs and a marine protected area model are introduced to illustrate the applicability of stability results.http://dx.doi.org/10.1155/2018/1723481 |
| spellingShingle | Mohammed M. Matar Esmail S. Abu Skhail On Stability of Nonautonomous Perturbed Semilinear Fractional Differential Systems of Order α∈(1,2) Journal of Mathematics |
| title | On Stability of Nonautonomous Perturbed Semilinear Fractional Differential Systems of Order α∈(1,2) |
| title_full | On Stability of Nonautonomous Perturbed Semilinear Fractional Differential Systems of Order α∈(1,2) |
| title_fullStr | On Stability of Nonautonomous Perturbed Semilinear Fractional Differential Systems of Order α∈(1,2) |
| title_full_unstemmed | On Stability of Nonautonomous Perturbed Semilinear Fractional Differential Systems of Order α∈(1,2) |
| title_short | On Stability of Nonautonomous Perturbed Semilinear Fractional Differential Systems of Order α∈(1,2) |
| title_sort | on stability of nonautonomous perturbed semilinear fractional differential systems of order α∈ 1 2 |
| url | http://dx.doi.org/10.1155/2018/1723481 |
| work_keys_str_mv | AT mohammedmmatar onstabilityofnonautonomousperturbedsemilinearfractionaldifferentialsystemsofordera12 AT esmailsabuskhail onstabilityofnonautonomousperturbedsemilinearfractionaldifferentialsystemsofordera12 |