Semnan UniversityInternational Journal of Nonlinear Analysis and Applications2008-682214120230101On subclasses of analytic functions defined by using Tremblay fractional derivative operator30253035736610.22075/ijnaa.2021.23999.2649ENAmina AhmedAwadDepartment of Mathematics, Faculty of Science, Zagazig University, Zagazig, EgyptFawzan IsmailSidkyDepartment of Mathematics, Faculty of Science, Zagazig University, Zagazig, EgyptDoaa ShokryMohamedDepartment of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt0000-0002-4625-8790Journal Article20210717By making use of the Tremblay operator, we introduce new subclasses of analytic functions, for which we obtain some sufficient coefficients estimates, and the consequences are some subordination properties and partial sums inequalities.https://ijnaa.semnan.ac.ir/article_7366_9c3d268993d736f9d7ef0a9d3b82bc09.pdf