Results 1 to 10 of about 20 (20)

Results on the modified degenerate Laplace-type integral associated with applications involving fractional kinetic equations

open access: yesDemonstratio Mathematica, 2023
Recently, integral transforms are a powerful tool used in many areas of mathematics, physics, engineering, and other fields and disciplines. This article is devoted to the study of one important integral transform, which is called the modified degenerate
Almalki Yahya   +2 more
doaj   +1 more source

Discrete complementary exponential and sine integral functions

open access: yesDemonstratio Mathematica, 2023
Discrete analogues of the sine integral and complementary exponential integral functions are investigated. Hypergeometric representation, power series, and Laplace transforms are derived for each.
Assaf Samer, Cuchta Tom
doaj   +1 more source

On generalized fractional integral with multivariate Mittag-Leffler function and its applications

open access: yesAlexandria Engineering Journal, 2022
The fractional calculus (FC) has been extensively studied by researchers due to its vast applications in sciences in the last few years. In fractional calculus, multivariate Mittag–Leffler functions are considered the powerful extension of the classical ...
Amna Nazir   +6 more
doaj   +1 more source

On the generalized fractional Laplace transform

open access: yesMoroccan Journal of Pure and Applied Analysis, 2021
In the present paper a generalization of the Laplace transform is introduced and studied. Its inversion formula is also obtained. As an application, we obtain the generalized fractional Laplace transform of a general class of functions and a product of ...
Kumar Virendra
doaj   +1 more source

Certain integral transforms concerning the product of family of polynomials and generalized incomplete functions

open access: yesMoroccan Journal of Pure and Applied Analysis, 2020
In this article, we have derived some integral transforms of the polynomial weighted incomplete H-functions and incomplete ̄H-functions. The obtained image formulas are of general nature and may, as special cases, give rise to integral transforms ...
Meena Sapna   +3 more
doaj   +1 more source

Generalized Mittag-Leffler Type Function: Fractional Integrations and Application to Fractional Kinetic Equations

open access: yesFrontiers in Physics, 2020
The generalized fractional integrations of the generalized Mittag-Leffler type function (GMLTF) are established in this paper. The results derived in this paper generalize many results available in the literature and are capable of generating several ...
Kottakkaran Sooppy Nisar
doaj   +1 more source

On fractional kinetic equations k-Struve functions based solutions

open access: yesAlexandria Engineering Journal, 2018
In the present research article, we investigate the solutions for fractional kinetic equations, involving k-Struve functions, some of the salient properties of which we present. The method used is Laplace transform based.
Kottakkaran Sooppy Nisar   +2 more
doaj   +1 more source

A Remark on the Fractional Integral Operators and the Image Formulas of Generalized Lommel–Wright Function

open access: yesFrontiers in Physics, 2018
In this paper, the operators of fractional integration introduced by Marichev-Saigo-Maeda involving Appell's function F3(·) are applied, and several new image formulas of generalized Lommel–Wright function are established.
Ritu Agarwal   +4 more
doaj   +1 more source

Elzaki Transform Approach to Fractional Kinetic Equations Using Orthogonal Polynomials and Their Generating Functions

open access: yesAdvances in Mathematical Physics
MSC2020 Classification: 26A33, 44A20, 74A25, 33C45 ...
Mulualem Aychluh   +3 more
doaj   +1 more source

Generalized Fractional Integral Operators Involving the H―-Function and Their Applications to Special Functions

open access: yesAbstract and Applied Analysis
MSC2020 Classification: 26A33, 33B15, 33C05, 33C20, 44A10, 44A20.
S. Chandak   +2 more
doaj   +1 more source

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