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 …

Interrelationships Between Marichev–Saigo–Maeda Fractional Integral Operators, the Laplace Transform and the -Function

MK Bansal, D Kumar, R Jain - International Journal of Applied and …, 2019 - Springer
In this article, we first evaluate the Laplace transform of Marichev–Saigo–Maeda (M–S–M)
fractional integral operators whose kernel is the Appell function F_ 3 F 3 and point out its six …

Generalized extended Mittag-Leffler function and its properties pertaining to integral transforms and fractional calculus

A Padma, MG Rao, B Shimelis - Research in Mathematics, 2023 - Taylor & Francis
We aim to introduce extended generalized Mittag-Leffler function (EGMLF) via the extended
Beta function and obtain certain integral and differential representation of them. Further, we …

Integral transforms of the Galue type Struve function

DL Suthar, SD Purohit, KS Nisar - TWMS Journal of Applied and …, 2018 - dergipark.org.tr
This paper refers to the study of generalized Struve type function. Using generalized Galu e
type Struve function GTSF, we derive various integral transforms, including Euler transform …

[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 …

Parseval–Goldstein Type Theorems for the Index -Transform

J Maan, ER Negrín - International Journal of Applied and Computational …, 2024 - Springer
Parseval–Goldstein Type Theorems for the Index $${ }_2 F_1$$ -Transform | International
Journal of Applied and Computational Mathematics Skip to main content SpringerLink Account …

Certain image formulae and fractional kinetic equations involving extended hypergeometric functions

KB Kachhia, P Agarwal, JC Prajapati - … in Real and Complex Analysis with …, 2017 - Springer
In this chapter, our aim is to establish certain new image formulae of generalized
hypergeometric functions by using the operators of fractional calculus. Some new image …

New results on fractional calculus and integral transform with extended Mittag-Leffler type function

SK Sharma, V Gill, D Kumar… - International Journal of …, 2025 - ijnaa.semnan.ac.ir
In the present article, we obtain new results, based on an extended Mittag-Leffler type
function. We also investigate some integral transforms and generalized integral formulas for …

[PDF][PDF] Certain integral transforms of the generalized k-Struve function

H Tadesse, DL Suthar, Z Gebru - Acta Univ. Apulensis Math …, 2019 - auajournal.uab.ro
The aim of this paper is to the study of Struve type functions. Using k-Struve functions, we
derive various integral transforms, including Euler transform, Laplace transform, Whittakar …

Fractional calculus and integral transforms of incomplete τ-hypergeometric function

N Pandey, JP Patel - Communications of the Korean Mathematical …, 2018 - koreascience.kr
In the present article, authors obtained certain fractional derivative and integral formulas
involving incomplete ${\tau} $-hypergeometric function introduced by Parmar and Saxena …