Existence of solutions of initial value problems for nonlinear fractional differential equations |
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Affiliation: | 1. School of Mathematics and Computational Science, Xiangtan University, Hunan 411105, PR China;2. Port Machinery BU of Sany Group Co. Ltd., Changsha, Hunan 410100, PR China |
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Abstract: | ![]() In this paper, by using the Schauder fixed point theorem, we study the existence and uniqueness of solutions of initial value problems for nonlinear fractional differential equations and obtain some new results. |
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Keywords: | Caputo fractional derivative Fractional integral Existence and uniqueness Schauder fixed point theorem |
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