Subordination Properties of Certain Operators Concerning Fractional Integral and Libera Integral Operator

The results contained in this paper are the result of a study regarding fractional calculus combined with classical theory differential subordination established for analytic complex valued functions. A new operator is introduced by applying Libera integral and order λ Many properties obtained newly defined using famous lemmas proved important scientists concerned geometric function theory, such as Eenigenburg, Hallenbeck, Miller, Mocanu, Nunokawa, Reade, Ruscheweyh Suffridge. Results strong starlikeness convexity α also discussed, an example shows how outcome research can be applied.