On global existence and Ulam-Hyers stability of \Psi-Hilfer fractional integrodifferential equations

In this sense, for this new fractional integrodifferential equation, we study the Ulam-Hyers and Ulam-Hyers-Rassias stability via successive approximation method. Further, we investigate the dependence of solutions on the initial conditions and uniqueness via \epsilon-approximated solution.

کلیدواژه ها:

Ulam-Hyers stability ، Psi-Hilfer fractional derivative ، fractional integrodifferential equations ، Banach fixed-point theorem