Ulam–Hyers stability of a nonlinear fractional Volterra integro-differential equation
Copyright policy )Ulam–Hyers stability of a nonlinear fractional Volterra integro-differential equation
Using the $��-$Hilfer fractional derivative, we present a study of the Hyers-Ulam-Rassias stability and the Hyers-Ulam stability of the fractional Volterra integral-differential equation by means of fixed-point method.
8 pages
- State University of Campinas Brazil
Stability theory for integral equations, Stability, separation, extension, and related topics for functional equations, 26A33, 45D05, 45GXX, Integro-ordinary differential equations, fractional Volterra integro-differential equations, fixed-point method, Fractional derivatives and integrals, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Hyers-Ulam stability, \(\psi\)-Hilfer fractional derivative, Hyers-Ulam-Rassias stability
Stability theory for integral equations, Stability, separation, extension, and related topics for functional equations, 26A33, 45D05, 45GXX, Integro-ordinary differential equations, fractional Volterra integro-differential equations, fixed-point method, Fractional derivatives and integrals, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Hyers-Ulam stability, \(\psi\)-Hilfer fractional derivative, Hyers-Ulam-Rassias stability
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