Initial value problems for arbitrary order fractional differential equations with delay |
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| Authors: | Zhihui Yang Jinde Cao |
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| Institution: | 1. School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu 233030, People’s Republic of China;2. Department of Applied Mathematics, Southeast University, Nanjing 210096, People’s Republic of China |
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| Abstract: | By fixed point theory the nonlinear alternative of Leray–Schauder type, and the properties of absolutely continuous functions space, we study the existence and uniqueness of initial value problems for nonlinear higher fractional equations with delay, and obtain some new results involving local and global solutions. |
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| Keywords: | Caputo’s fractional derivative Fractional equation Delay Existence and uniqueness Fixed point theorem |
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