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

2018/04/07 by J. Vanterler da C. Sousa, Sousa, J. Vanterler da C., E. Capelas de Oliveira +1
Mathematics · #Functional Equations Stability Results #Nonlinear Differential Equations Analysis #Fractional Differential Equations Solutions

paper · pdf · doi:10.48550/arxiv.1804.02600

Abstract

By means of the recent ψ-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,∞) for a particular class of fractional integro-differential equations.

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