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arxiv: 1804.02600 · v1 · pith:DT4EVJF6new · submitted 2018-04-07 · 🧮 math.CA

Ulam-Hyers-Rassias stability for a class of fractional integro-differential equations

classification 🧮 math.CA
keywords fractionalclassequationsintegro-differentialulam-hyers-rassiasbanachclosedderivative
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By means of the recent $\psi$-Hilfer fractional derivative and of the Banach fixed-point theorem, we investigate stabilities of Ulam-Hyers, Ulam-Hyers-Rassias and semi-Ulam-Hyers-Rassias on closed intervals $[a,b]$ and $[a,\infty)$ for a particular class of fractional integro-differential equations.

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