Integral transforms defined by a new fractional class of analytic   function in a complex Banach space
  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. 
Rabha W. Ibrahim, Adem Kilicman and Zainab E. Abdulnaby
math.FA