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Existence Results for Fractional Differential Equations with the Riesz-Caputo Derivative |
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KeyWord:Fractional differential equation Riesz-Caputo derivative Fixed point theorem |
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Abstract: |
In this paper, we apply some fixed point theorems to attain the existence of solutions for fractional differential equations with the space-time Riesz-Caputo derivative. We study the boundary value problems that the nonlinearity term $f$ is relevant to fractional integral and fractional derivative. In addition, the boundary conditions involve integral. Two examples are given to show the effectiveness of theoretical results. |
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