FRACTIONAL NON--AUTONOMOUS EVOLUTION EQUATIONS WITH INTEGRAL IMPULSE CONDITION IN FRÉCHET SPACES.

The primary focus of this study is to explore the presence of a mild solution within a specific category of fractional non-autonomous differential evolution equations, incorporating integral impulse conditions. The approach employed extends the classical Darbo fixed point theorem for Fréchet spaces, leveraging the notion of a measure of noncompactness along with the principle of K-set contraction. To illustrate our findings, we offer an illustrative example. [ABSTRACT FROM AUTHOR]