Existence and attractivity results for Hilfer fractional differential equations
We present some results of the existence of attracting solutions of some fractional differential equations of Hilfer type. The results of the existence of solutions are applied to the Schauder fixed point theorem. We prove that all solutions are uniformly locally attracting.
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| Date: | 2018 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2018
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| Series: | Нелінійні коливання |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/177329 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Existence and attractivity results for Hilfer fractional differential equations / S. Abbas, M. Benchohra, J. Henderson // Нелінійні коливання. — 2018. — Т. 21, № 3. — С. 295-304 — Бібліогр.: 32 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | We present some results of the existence of attracting solutions of some fractional differential equations of Hilfer type. The results of the existence of solutions are applied to the Schauder fixed point theorem. We prove that all solutions are uniformly locally attracting. |
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