Existence and Ulam-Hyers Mittag-Leffler stability of $ψ$-Hilfer fractional functional integrodifferential equation

Abstract: This paper is committed to establishing the assumptions essential for the existence and uniqueness results of a fractional functional integrodifferential equation (FFIDE) having a derivative of generalized Hilfer type. Using the Picard operator method, and Banach fixed point theorem, we obtain the existence and uniqueness solution to the proposed problem. Along with this, the Ulam-Hyers Mittag-Leffler (UHML) stability is discussed via Pachpatte's inequality. For supporting our results, an illustrative example will be introduced.