Abstract
In this paper, we investigate the existence results for fractional differential equations of the form
and
where \(D_{c}^{q}\) is the Caputo fractional derivative. We prove the above equations have solutions in C[0, T). Particularly, we present the existence and uniqueness results for the above equations on \([0,+\infty )\).
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The research was supported by Scientific Research Foundation of Nanjing Institute of Technology(No: CKJB201508; ZKJ201514).
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Zhu, T., Zhong, C. & Song, C. Existence results for nonlinear fractional differential equations in C[0, T). J. Appl. Math. Comput. 57, 57–68 (2018). https://doi.org/10.1007/s12190-017-1094-3
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DOI: https://doi.org/10.1007/s12190-017-1094-3