Solutions of fractional functional integrodifferential equations via Petryshyn’s fixed point theorem

‎This article provides the presence of solutions to a fractional functional integro-differential equation via measures of non-compactness‎. ‎We present and prove a novel theorem that guarantees the existence of solutions‎, ‎employing Petryshyn's fixed point theorem in the space of continuous functions‎. ‎These findings build upon previous studies by establishing the existence of results under less stringent conditions‎. ‎Furthermore‎, ‎we provide illustrative examples of such equations to showcase the efficacy of the obtained results.

کلیدواژه ها:

Measures of non-compactness‎ ، ‎Fractional functional integro-differential equation‎ ، ‎Fixed point theorem‎ ، ‎Existence of solutions‎