New uniqueness results for fractional differential equations |
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| Authors: | Fulya Yoruk T. Gnana Bhaskar |
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| Affiliation: | 1. Department of Mathematics , Ege University , 35100 Bornova , Izmir , Turkey;2. Department of Mathematical Sciences , Florida Institute of Technology , 150 West University Boulevard, Melbourne , FL 32901 , USA |
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| Abstract: | We develop the Krasnoselskii–Krein type of uniqueness theorem for an initial value problem of the Riemann–Liouville type fractional differential equation which involves a function of the form f?(t,?x(t),?D q?1 x(t)), for 1<q<2 and establish the convergence of successive approximations. We prove a few other uniqueness theorems. |
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| Keywords: | fractional differential equations uniqueness theorems successive approximations |
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