NONLOCAL INITIAL VALUE PROBLEMS FOR HILFER-TYPE FRACTIONAL HYBRID DIFFERENTIAL EQUATIONS WITH IMPULSE

In this note, we verify the existence of solutions to nonlocal initial value problems for Hilfer-type fractional hybrid differential equations with impulsive condition. Then, we use prerequisites of Hilfer fractional calculus and the standard fixed point theorem due to Dhage for deriving the existence results in the weighted space of continuous functions. An example is presented to illustrate the theory results.