On the inclusion properties for -spirallike functions involving both Mittag-Leffler and Wright function

Ş ALTINKAYA - Turkish Journal of Mathematics, 2022 - journals.tubitak.gov.tr
By making use of the both Mittag-Leffler and Wright function, we establish a new subfamily of
the class $ S_ {\vartheta} $ of $\vartheta $-spirallike functions. The main object of the paper …

[PDF][PDF] Fractional calculus formulas for Mathieu-type series and generalized Mittag-Leffler function

O Khan, S Araci, M Saif - J. Math. Comput. Sci, 2020 - academia.edu
Fractional calculus is allowing integrals and derivatives of any positive order (the term
'fractional'kept only for historical reasons), which can be considered a branch of …

Certain image formulae and fractional kinetic equations of generalized k-Bessel functions via the Sumudu transform

KS Nisar, MS Abouzaid, FBM Belgacem - International Journal of Applied …, 2020 - Springer
The monotonicity and the representation formulae of generalized k k-Bessel functions, W_ ν,
c^ k W ν, ck, studied by SR Mondal. This paper establishes the image formulae and then …

Fractional calculus of a product of multivariable Srivastava polynomial and multi-index Bessel function in the kernel F-3

O Khan, N Khan, KS Nisar, M Saif, D Baleanu - 2020 - earsiv.cankaya.edu.tr
In this article our main object to compute image formulas of generalized fractional
hypergeometric operators, involving the product of multivariable Srivastava polynomial and …

[PDF][PDF] Unified approach to the certain integrals of k-Mittag-Leffler type function of two variables

O Khan, N Khan, KA Sooppy - Trans. Natl. Acad. Sci. Azerb. Ser …, 2019 - researchgate.net
We establish certain integral formulas of extended type k-Mittag-Leffler function (k-MLf) of
two and one variables by using MacRobert, Lavoie and Trottier, and Oberhettinger integrals …

Regularization of Weak and Basic Singularities in Fractional Integro-Differential Equations

M Jahanshahi, JE Golanbar - International Journal of Applied and …, 2021 - Springer
In this paper, we consider some kind of fractional singular integral equations which they
have weak and basic singularities in their kernels. In the first section, singularities are …

On a Generalized Mittag-Leffler Function and Fractional Integrals

V Kumar - Fundamental Journal of Mathematics and Applications - dergipark.org.tr
The object of this paper is to study a generalized Mittag-Leffler function and a modified
general class of functions which is reducible to several special functions. convergent …