Various operators in relation to fractional order calculus and some of their applications to normalized analytic functions in the open unit disk

DOI10.3906/MAT-2108-4zbMath1502.30005OpenAlexW4205822776MaRDI QIDQ5101036

Hüseyin Irmak

Publication date: 2 September 2022

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-2108-4

zbMATH Keywords

fractional derivativesTaylor-Maclaurin series

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Power series (including lacunary series) in one complex variable (30B10) Inequalities in the complex plane (30A10)

Uses Software

• DLMF

Cites Work

• Boundary fractional differential equation in a complex domain
• Some equalities and \(N\)-fractional calculus for Riemann's zeta function
• Some families of \(p\)-valently analytic functions established by fractional derivatives and their certain consequences
• Contributions to fractional calculus and exponential approximation
• A certain subclass of analytic functions involving operators of fractional calculus
• On properties of non-Carathéodory functions
• The development of fractional calculus 1695-1900
• Some families of multivalently analytic functions with negative coefficients
• The decompositional structure of certain fractional integral operators
• Subordination properties of multivalent functions involving an extended fractional differintegral operator
• Elasticity for economic processes with memory: fractional differential calculus approach
• Fractional-Order Derivatives and Integrals: Introductory Overview and Recent Developments
• A novel subclass of analytic functions specified by a family of fractional derivatives in the complex domain
• The Existence of extremal solutions to nonlinear fractional integro-differential equations with advanced arguments
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