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• W4226083669 abstract "<abstract><p>In this paper, using the fractional integral with respect to the $ Psi $ function and the $ Psi $-Hilfer fractional derivative, we consider the Volterra fractional equations. Considering the Gauss Hypergeometric function as a control function, we introduce the concept of the Hyers-Ulam-Rassias-Kummer stability of this fractional equations and study existence, uniqueness, and an approximation for two classes of fractional Volterra integro-differential and fractional Volterra integral. We apply the Cădariu-Radu method derived from the Diaz-Margolis alternative fixed point theorem. After proving each of the main theorems, we provide an applied example of each of the results obtained.</p></abstract>" @default.
• W4226083669 created "2022-05-05" @default.
• W4226083669 creator A5004759226 @default.
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• W4226083669 date "2022-01-01" @default.
• W4226083669 modified "2023-09-26" @default.
• W4226083669 title "Hyers-Ulam-Rassias-Kummer stability of the fractional integro-differential equations" @default.
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• W4226083669 doi "https://doi.org/10.3934/mbe.2022308" @default.
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