MEASURE OF NONCOMPACTNESS AND FRACTIONAL HYBRID DIFFERENTIAL EQUATIONS WITH HYBRID CONDITIONS.

This paper deals with the existence of solutions for hybrid fractional differential equations involving Caputo fractional derivative of order 2 < ζ 3. We base our arguments on a generalization of Darbo’s fixed point theorem combined with the approaches related with measures of noncompactness in Banach algebras. To demonstrate the argument, an illustration is provided. [ABSTRACT FROM AUTHOR]