| Publons ID | 36850451 |
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| Wos ID | WOS:000356731200001 |
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| Doi | |
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| Title | EXISTENCE AND UNIQUENESS OF MILD SOLUTIONS FOR FRACTIONAL SEMILINEAR DIFFERENTIAL EQUATIONS |
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| First Author | Guswanto, Bambang Hendriya; Suzuki, Takashi; |
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| Last Author | |
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| Authors | Guswanto, BH; Suzuki, T; |
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| Publish Date | JUN 18 2015 |
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| Journal Name | ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS |
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| Citation | 5 |
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| Abstract | In this article, we study the existence and uniqueness of a local mild solution for a class of semilinear differential equations involving the Caputo fractional time derivative of order alpha (0 < alpha < 1) and, in the linear part, a sectorial linear operator A. We put some conditions on a nonlinear term f and an initial data u(0) in terms of the fractional power of A. By applying Banach's Fixed Point Theorem, we obtain a unique local mild solution with smoothing effects, estimates, and a behavior at t close to 0. An example as an application of our results is also given. |
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| Publish Type | Journal |
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| Publish Year | 2015 |
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| Page Begin | (not set) |
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| Page End | (not set) |
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| Issn | 1072-6691 |
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| Eissn | |
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| Url | https://www.webofscience.com/wos/woscc/full-record/WOS:000356731200001 |
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| Author | BAMBANG HENDRIYA GUSWANTO, S.Si, M.Si, Ph.D |
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| File | 13444.pdf |
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