Certain fundamental properties of generalized natural transform in generalized spaces

Al‐Omari, Shrideh; Aracı, Serkan

doi:10.1186/s13662-021-03328-6

Cited by 7 publications

(2 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The fractal fractional and Atangana-Baleanu approach is applied with Sumudu transform to produce credible outcomes for the epidemic model. Moreover, in the study by Alidema and colleagues, [21][22][23][24][25][26] different models have been investigated by using Sumudu transform, and their applications are highlighted.…”

Section: Introductionmentioning

confidence: 99%

Unsteady rotating MHD flow of a second‐grade hybrid nanofluid in a porous medium: Laplace and Sumudu transforms

Khan

Sitthithakerngkiet

et al. 2022

Heat Trans

View full text Add to dashboard Cite

To control the complicated rheological behavior of fluid models, several mathematical approaches have been established. Empirical, statistical, iterative, and analytical approaches are used to study such mathematical models. Consequently, this paper provides an analytical analysis and assessment of the Laplace, and Sumudu transforms for the unsteady MHD flow prediction of a second-grade hybrid nanofluid in a rotating frame. The mathematical model is built using a nonfractional technique with ramping conditions. To explore the velocity field and heat transfer, we used Laplace and Sumudu transforms to uncover the unseen characteristics of magnetized second-grade hybrid nanofluid flow. For the purposes of comparison, a graphical picture is

show abstract

Section: Introductionmentioning

confidence: 99%

Unsteady rotating MHD flow of a second‐grade hybrid nanofluid in a porous medium: Laplace and Sumudu transforms

Khan

Sitthithakerngkiet

et al. 2022

Heat Trans

View full text Add to dashboard Cite

show abstract

“…In 2013, Al-Omari [8] applied the natural transform to some ordinary differential equations and some spaces of Boehmians. Recently, Al-Omari and Araci [12] investigated the definition and the properties of the generalized natural transform on sets of generalized functions.…”

Section: Introductionmentioning

confidence: 99%

On a system of ( p , q ) -analogues of the natural transform for solving ( p , q ) -differential equations

Jirakulchaiwong¹,

Nonlaopon²,

Tariboon³

et al. 2022

J. Math. Computer Sci.

View full text Add to dashboard Cite

In this work, we apply the concept of (p, q)-calculus or post quantum calculus to establish the definitions of (p, q)-analogues of the natural transform of the first and second kind, which is a symmetric relation between (p, q)-analogues of the natural, Laplace, and Sumudu transforms. Moreover, as a result of the convolution theorem, some properties and some functions present in the table of (p, q)-analogues of the natural transform are discussed. Also, we apply them to solve higher order (p, q)-IVP with constants and coefficients, and to show the performance and effectiveness of the proposed transform.

show abstract

Application of Laplace and Sumudu transforms to the modeling of unsteady rotating MHD flow in a second-grade tetra hybrid nanofluid in a porous medium

khan

2024

Advances in Mechanical Engineering

View full text Add to dashboard Cite

Understanding and managing the complex rheological behavior of fluid models is crucial for many real-world applications, such as industrial fluid dynamics, biomedical engineering, and environmental management. This study aims to predict the unsteady magnetohydrodynamic (MHD) flow of a second-grade tetra hybrid nanofluid in a porous medium containing uniformly dispersed dust particles. To address this challenge, we develop a mathematical model utilizing a non-fractional approach with ramping conditions. Our methodology incorporates Laplace and Sumudu transforms to analyze the velocity fields of both the fluid and dust particles. Additionally, we examine the heat transfer characteristics and the underlying dynamics of the magnetized second-grade tetra hybrid nanofluid flow. The momentum transfer of the dust particles is modeled using a separate equation. Key outcomes of this research include visual representations of novel findings, facilitating comparison with existing literature. Numerical simulations based on Sumudu and Laplace transformations produce velocity profiles for both fluid and dust particles, as well as temperature distributions, aligning with theoretical expectations. These results demonstrate the effectiveness of Laplace and Sumudu transforms in analyzing and simulating the turbulent MHD flow of nanofluids through porous media with dispersed dust particles.

show abstract

Certain fundamental properties of generalized natural transform in generalized spaces

Cited by 7 publications

References 23 publications

Unsteady rotating MHD flow of a second‐grade hybrid nanofluid in a porous medium: Laplace and Sumudu transforms

Unsteady rotating MHD flow of a second‐grade hybrid nanofluid in a porous medium: Laplace and Sumudu transforms

On a system of ( p , q ) -analogues of the natural transform for solving ( p , q ) -differential equations

Application of Laplace and Sumudu transforms to the modeling of unsteady rotating MHD flow in a second-grade tetra hybrid nanofluid in a porous medium

Contact Info

Product

Resources

About