Fractional Differential Equations

Univalent functions, fractional calculus, and their applications , edited by H. M. Srivastava and S. Owa. Pp 404. £39·95. 1989. ISBN 0-7458-0701-1 (Ellis Horwood)

http://www.doiserbia.nb.rs/ft.aspx?id=0354-51801305831S

Coefficient estimates for a certain subclass of analytic and bi-univalent functions

In this paper, we introduce and investigate an interesting subclass NΣh,p (λ, μ) of analytic and bi-univalent functions in the open unit disk U. For functions belonging to the class NΣh,p (λ, μ), we obtain estimates on the first two Taylor-Maclaurin coefficients |a2| and |a3|. The results presented in this paper would generalize and improve some recent works of Caǧlar et al. [3], Xu et al. [10], and other authors.

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Coefficient estimates for a general subclass of analytic and bi-univalent functions

Derivatives with Non-Singular Kernels from the Caputo-Fabrizio Definition and Beyond: Appraising Analysis with Emphasis on Diffusion Models

Estimate for initial Maclaurin coefficients of bi-univalent functions for a class defined by fractional derivatives

Majorization for certain classes of analytic functions defined by fractional derivatives

Here we investigate a majorization problem involving starlike meromorphic functions of complex order belonging to a certain subclass of meromorphic univalent functions defined by an integral operator introduced recently by Lashin.

/pdf/majorization-for-certain-classes-of-meromorphic-functions-qcszlimpsk.pdf

Majorization for certain classes of meromorphic functions defined by integral operator

The paper aims to extend the model of the Ebola virus in bats to the mathematical model of fractional order using Atangana- Baleanu derivative operator. A detailed proof for the existence, uniqueness, and stability of the solution for the fractional mathematical model is presented. A numerical approach is used to find the solution of the stated model and the results are represented graphically.

Fractional Model of Ebola Virus In Population of Bats In Frame of Atangana-Baleanu Fractional Derivative

We derive subordination and superordination results for a family of normalized analytic functions in the open unit disk defined by integral operators. We apply this to obtain sandwich results and generalizations of some known results.

https://downloads.hindawi.com/journals/ijmms/2008/561638.pdf

Pranay Goswami

Papers

Estimate for initial Maclaurin coefficients of bi-univalent functions for a class defined by fractional derivatives

Majorization for certain classes of analytic functions defined by fractional derivatives

Majorization for certain classes of meromorphic functions defined by integral operator

Fractional Model of Ebola Virus In Population of Bats In Frame of Atangana-Baleanu Fractional Derivative

Subordination and Superordination Results for a Class of Analytic Multivalent Functions