Complex variable approach to analysis of a fractional differential equation in the real line
| Autor: | Şan, Müfit |
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| Rok vydání: | 2017 |
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| Druh dokumentu: | Working Paper |
| Popis: | The first aim of this work is to establish a Peano type existence theorem for an initial value problem involving complex fractional derivative and the second is, as a consequence of this theorem, to give a partial answer to the local existence of the continuous solution for the following problem with Riemann-Liouville fractional derivative: \begin{equation*} \begin{cases} &D^{q}u(x) = f\big(x,u(x)\big), \\ &u(0)=b, \ \ \ (b\neq 0). \\ \end{cases} \end{equation*} Moreover, in the special cases of considered problem, we investigate some geometric properties of the solutions. Comment: 14 pages |
| Databáze: | arXiv |
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