Abstract
In this paper, we consider the existence and uniqueness of solutions to the nonlocal boundary value problem for semi-linear differential equations involving Hilfer fractional derivative. With the help of properties of Hilfer fractional calculus, Mittag-Leffler functions, and fixed point methods, we derive existence and uniqueness results. Finally, examples are given to illustrate our theoretical results.
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This work is partially supported by Youth Science Foundation of Shanxi University of Finance and Economic (2014003).
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Gao, Z., Yu, X. Existence results for BVP of a class of Hilfer fractional differential equations. J. Appl. Math. Comput. 56, 217–233 (2018). https://doi.org/10.1007/s12190-016-1070-3
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DOI: https://doi.org/10.1007/s12190-016-1070-3