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arXiv:1711.07339 [math.CA]AbstractReferencesReviewsResources

On the Ulam-Hyers-Rassias stability for nonlinear fractional differential equations using the $ψ$-Hilfer operator

J. Vanterler da C. Sousa, E. Capelas de Oliveira

Published 2017-11-20Version 1

We study the existence and uniqueness of solution of a nonlinear Cauchy problem involving the $\psi$-Hilfer fractional derivative. In addition, we discuss the Ulam-Hyers and Ulam-Hyers-Rassias stabilities of its solutions. A few examples are presented in order to illustrate the possible applications of our main results.

Comments: 22 pages
Categories: math.CA
Subjects: 26A33, 34A08, 34A34, 34D20
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