We define a new class of analytic functions Dm,n (λ,δ,µ,α,β) on the open unit disc using the fractional integral associated with a linear differential operator and investigate characteristics of this class: extreme points, distortion bounds, radii of close-to-convexity, starlikeness and convexity.
Zhou SS, Rashid S, Parveen S, Akdemir AO, Hammouch Z. New computations for extended weighted functionals within the Hilfer generalized proportional fractional integral operators, AIMS Mathematics 2021; 6(5): 4507–4525. DOI: 10.3934/math.2021267.
Rashid S, Ashraf R, Bayones FS. A novel treatment of fuzzy fractional Swift–Hohenberg equation for a hybrid transform within the fractional derivative operator, Fractal and Fractional 2021; 5(4): 209. https://doi.org/10.3390/fractalfract5040209.
Alqudah MA, Ashraf R, Rashid S, Singh J, Hammouch Z, Abdeljawad T. Novel numerical investigations of fuzzy Cauchy reaction–diffusion models via generalized fuzzy fractional derivative operators, Fractal and Fractional, 2021; 5(4): 151. https://doi.org/10.3390/fractalfract5040151.
Al-Qurashi M, Rashid S, Jarad F, Tahir M, Alsharif AM. New computations for the two-mode version of the fractional Zakharov-Kuznetsov model in plasma fluid by means of the Shehu decomposition method, AIMS Mathematics, 2022; 7(2): 2044-2060. doi:10.3934/math.2022117.
Rashid S, Hammouch Z, Aydi H, Ahmad AG, Alsharif AM. Novel computations of the time-fractional Fisher’s model via generalized fractional integral operators by means of the Elzaki Transform, Fractal and Fractional, 2021; 5(3): 94. https://doi.org/10.3390/fractalfract5030094.
Rashid S, Khalid A, Bazighifan O, Oros GI. New modifications of integral inequalities via -Convexity pertaining to fractional calculus and their applications, Mathematics 2021; 9(15): 1753; https://doi.org/10.3390/math9151753.
Almalahi MA, Bazighifan O, Panchal SK, Askar SS, Oros GI. Analytical study of two nonlinear coupled hybrid systems involving generalized Hilfer fractional operators, Fractal and Fractional, 2021; 5(4): 178; https://doi.org/10.3390/fractalfract5040178.
Rashid S, Ashraf R, Akdemir AO, Alqudah MA, Abdeljawad T, Mohamed MS. Analytic fuzzy formulation of a time-fractional Fornberg–Whitham model with Power and Mittag–Leffler kernels, Fractal and Fractional, 2021; 5(3): 113. https://doi.org/10.3390/fractalfract5030113.
Lupas AA, Catas A. An application of the principle of differential subordination to analytic functions involving Atangana-Baleanu fractional integral of Bessel functions, Symmetry, 2021; 13: 971. https://doi.org/10.3390/sym13060971.
Srivastava HM, Bansal M, Harjule P. A study of fractional integral operators involving a certain generalized multi-index Mittag-Leffler function, Math. Meth. Appl. Sci., 2018; 1-14.
Ghanim F, Al-Janaby HF. An analytical study on Mittag-Leffler-confluent hypergeometric functions with fractional integral operator. Math. Methods Appl. Sci., 2021; 44(5): 3605-3614.
Ghanim F, Al-Janaby HF, Bazighifan O. Some new extensions on fractional differential and integral properties for Mittag-Leffler confluent hypergeometric function, Fractal and Fractional, 2021; 5: 143.
Lupas AA, Cioban M. On a subclass of analytic functions defined by a fractional integral operator, International Conference on Mathematics, Informatics and Information Technologies, 19-21 April, 2018; B l i, Republica Moldova, 8-14.
Lupas AA. A subclass of analytic functions defined by a fractional integral operator, J. Comput. Anal. Appl., 2019; 27(3): 502-505.
Cho NE, Aouf MK, Srivastava R. The principle of differential subordination and its application to analytic and p-valent functions defined by a generalized fractional differintegral operator, Symmetry 2019; 11: 1083.
Lupas AA. Inequalities for Analytic Functions Defined by a Fractional Integral Operator. In Frontiers in Functional Equations and Analytic Inequalities; Anastassiou, G., Rassias, J., Eds.; Springer: Berlin/Heidelberg, Germany, 2020; 731-745.
Lupas AA. About a subclass of analytic functions defined by a fractional integral operator, Montes Taurus J. Pure Appl. Math. 2021; 3(3): 200-210.
Lupas AA. New Applications of the Fractional Integral on Analytic Functions, Symmetry 2021; 13(3): 423; https://doi.org/10.3390/sym13030423
Lupas AA, Oros GI. Differential Subordination and Superordination Results Using Fractional Integral of Confluent Hypergeometric Function, Symmetry 2021; 13(2): 327; https://doi.org/10.3390/sym13020327
Lupas AA, Oros GI. On special differential subordinations using fractional integral of S l gean and Ruscheweyh operators, Symmetry 2021; 13(9): 1553. https://doi.org/10.3390/sym13091553
Oros GI. Fuzzy differential subordinations obtained using a hypergeometric integral operator, Mathematics, 2021; 9(20): 2539. https://doi.org/10.3390/math9202539
El-Deeb SM, Lupas AA. Fuzzy Differential Subordinations Connected with Convolution, Studia Universitatis Babe -Bolyai Mathematica, accepted 2020.
Cho NE, Aouf AMK. Some applications of fractional calculus operators to a certain subclass of analytic functions with negative coefficients, Tr. J. of Mathematics, 1996; 20: 553-562.
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Copyright (c) 2021 Alina Alb Lupas