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Existence of Smooth Solutions of Multi-Term Caputo-Type Fractional Differential Equations |
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PP: 211-218 |
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doi:10.18576/pfda/040305
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Author(s) |
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Chung-Sik Sin,
Gang-Il Ri,
Mun-Chol Kim,
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Abstract |
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| This work deals with the initial value problem for the multi-term fractional differential equation. The fractional derivative
is defined in the Caputo sense. Firstly the initial value problem is transformed into an equivalent Volterra-type integral equation under
appropriate assumptions. Then, new existence results for smooth solutions are established by using the Schauder fixed point theorem. |
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