چکیده (انگلیسی):

In this paper, we study the existence of solutions to an implicit functional equa-
tion involving a fractional integral with respect to a certain function, which generalizes the Riemann-Liouville fractional integral and the Hadamard fractional integral. We establish an existence result to such kind of equations using a generalized version of Darbo’s theorem associated to a certain measure of noncompactness. Some examples are presented.