This work aims to share some fractional integrals and derivatives containing three real parameters. The main
tool to introduce such operators is the corresponding Abel’s equation. Solvability conditions for the Abel’s equations are
shared. Semigroup properties for fractional integrals are introduced. Integration by parts rule is given. Moreover, mean
value theorems and related results are shared. At the end of the paper, some directions for some fractional operators are
given.
