期刊
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS
卷 20, 期 3, 页码 -出版社
SPRINGER BASEL AG
DOI: 10.1007/s11784-018-0587-5
关键词
Existence and uniqueness; nonlinear Cauchy problem; Ulam-Hyers stability; Ulam-Hyers-Rassias stability
We study the existence and uniqueness of solution of a nonlinear Cauchy problem involving the phi-Hilfer fractional derivative. In addition, we discuss the Ulam-Hyers and Ulam-Hyers-Rassias stabilities of its solutions. A few examples are presented to illustrate the possible applications of our main results.
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