title: Some properties for integro-differential operator defined by a fractional formal.
abstract: Recently, the study of the fractional formal (operators, polynomials and classes of special functions) has been increased. This study not only in mathematics but extended to another topics. In this effort, we investigate a generalized integro-differential operator [Formula: see text] defined by a fractional formal (fractional differential operator) and study some its geometric properties by employing it in new subclasses of analytic univalent functions.
authors.affiliation: Department of Mathematics, Faculty of Science, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor Malaysia.
authors.forename: Zainab E
authors.initials: ZE
authors.lastname: Abdulnaby
authors.affiliation: Faculty of Computer Science and Information Technology, University Malaya, 50603 Kuala Lumpur, Malaysia.
authors.forename: Rabha W
authors.initials: RW
authors.lastname: Ibrahim
authors.affiliation: Department of Mathematics, Institute for Mathematical Research, Universiti Putra Malaysia (UPM), 43400 Serdang, Selangor Malaysia.
authors.forename: Adem
authors.initials: A
authors.lastname: Kılıçman
keywords: Analytic functions; Fractional calculus; Fractional differential operator; Integral operator; Unit disk; Univalent functions