Certain matrix Riemann–Liouville fractional integrals associated with functions involving generalized Bessel matrix polynomials

M Abdalla, M Akel, J Choi - Symmetry, 2021 - mdpi.com
The fractional integrals involving a number of special functions and polynomials have
significant importance and applications in diverse areas of science; for example, statistics …

Application of the pathway-type transform to a new form of a fractional kinetic equation involving the generalized incomplete Wright hypergeometric functions

MZ Alqarni, A Bakhet, M Abdalla - Fractal and Fractional, 2023 - mdpi.com
We present in this paper a generalization of the fractional kinetic equation using the
generalized incomplete Wright hypergeometric function. The pathway-type transform …

Duality for convolution on subclasses of analytic functions and weighted integral operators

E Amini, M Fardi, S Al-Omari… - Demonstratio …, 2023 - degruyter.com
In this article, we investigate a class of analytic functions defined on the unit open disc
U={z:∣ z∣< 1}, such that for every f∈ P α (β, γ), α> 0, 0≤ β≤ 1, 0< γ≤ 1, and∣ z∣< 1, the …

[PDF][PDF] Solution of fractional kinetic equations involving extended (k, t)-Gauss hypergeometric matrix functions

M Hidan, M Akel, H Abd-Elmageed, M Abdalla - AIMS Math, 2022 - aimspress.com
Solution of fractional kinetic equations involving extended $(k,\tau)$-Gauss hypergeometric
matrix functions Page 1 http://www.aimspress.com/journal/Math AIMS Mathematics, 7(8) …

An integral transform and its application in the propagation of Lorentz-Gaussian beams

A Belafhal, EM El Halba, T Usman - Communications in …, 2021 - cm.episciences.org
The aim of the present note is to derive an integral transform I=∫ 0∞ xs+ 1 e-β x 2+ γ x M k,
v (2 ζ x 2) J μ (χ x) dx, I=\int_0^ ∞ x^ s+ 1 e^-β x^ 2+ γ x M_ k, v\left (2 ζ x^ 2\right) J μ\left (χ …

[PDF][PDF] On Hankel transforms of generalized Bessel matrix polynomials

M Abdalla - AIMS Mathematics, 2021 - aimspress.com
The present article deals with the evaluation of the Hankel transforms involving Bessel
matrix functions in the kernel. Moreover, these transforms are associated with products of …

Some inequalities involving two generalized beta functions in n variables

M Raïssouli, SI El-Soubhy - Journal of Inequalities and Applications, 2021 - Springer
The beta and gamma functions have recently seen several developments and various
extensions because of their nice properties and interesting applications. The contribution of …

Some results on generalised Euler-type integrals related to the k-Wright function

M Asif, A Khan, A Akgül… - International Journal of …, 2023 - inderscienceonline.com
Special functions such that Zeta, Bessel, Whittaker, Struve, Airy, Weber-Hermite and k-
Wright functions are obtained as a solution to complex differential equations in engineering …

Unified Integrals of Generalized Mittag–Leffler Functions and Their Graphical Numerical Investigation

N Khan, MI Khan, T Usman, K Nonlaopon, S Al-Omari - Symmetry, 2022 - mdpi.com
In this article, we obtain certain finite integrals concerning generalized Mittag–Leffler
functions, which are evaluated in terms of the generalized Fox–Wright function. The integrals …

[PDF][PDF] Unified Integrals of Generalized Mittag–Leffler Functions and Their Graphical Numerical Investigation. Symmetry 2022, 14, 869

N Khan, M Khan, T Usman, K Nonlaopon… - … Calculus and Their …, 2022 - mdpi.com
In this article, we obtain certain finite integrals concerning generalized Mittag–Leffler
functions, which are evaluated in terms of the generalized Fox–Wright function. The integrals …