  In this work, we define a new class of fractional analytic functions
containing functional parameters in the open unit disk. By employing this
class, we introduce two types of fractional operators, differential and
integral. The fractional differential operator is considered to be in the sense
of Ruscheweyh differential operator, while the fractional integral operator is
in the sense of Noor integral. The boundedness and compactness in a complex
Banach space are discussed. Other studies are illustrated in the sequel.
