Results 1 to 10 of about 40 (38)

The numerical solution of high dimensional variable-order time fractional diffusion equation via the singular boundary method [PDF]

open access: yesJournal of Advanced Research, 2021
Introduction: This study describes a novel meshless technique for solving one of common problem within cell biology, computer graphics, image processing and fluid flow.
Vahid Reza Hosseini   +2 more
doaj   +2 more sources

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

Increasing property and logarithmic convexity of functions involving Dirichlet lambda function

open access: yesDemonstratio Mathematica, 2023
In this article, with the help of an integral representation of the Dirichlet lambda function, by means of a monotonicity rule for the ratio of two integrals with a parameter, and by virtue of complete monotonicity and another property of an elementary ...
Qi Feng, Lim Dongkyu
doaj   +1 more source

Hahn Laplace transform and its applications

open access: yesDemonstratio Mathematica, 2023
Like qq-calculus, Hahn calculus (or q,ωq,\omega -calculus) is constructed by defining a difference derivative operator and an integral operator. The q,ωq,\omega -analogs of the integral representations of the Laplace transform and related special ...
Hıra Fatma
doaj   +1 more source

The multistep Laplace optimized decomposition method for solving fractional-order coronavirus disease model (COVID-19) via the Caputo fractional approach

open access: yesDemonstratio Mathematica, 2022
COVID-19, a novel coronavirus disease, is still causing concern all over the world. Recently, researchers have been concentrating their efforts on understanding the complex dynamics of this widespread illness.
Maayah Banan   +3 more
doaj   +1 more source

New theoretical results and applications on conformable fractional Natural transform

open access: yesAin Shams Engineering Journal, 2021
In this paper, we proceed on to develop the classical Natural transform to fractional order in the sense of conformable derivative and set the basic concepts in this new interesting fractional transform version.
Zeyad Al-Zhour   +3 more
doaj   +1 more source

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

Can transfer function and Bode diagram be obtained from Sumudu transform

open access: yesAlexandria Engineering Journal, 2020
In the last past year researchers have relied on the ability of Laplace transform to solve partial, ordinary linear equations with great success. Important analysis in signal analysis including the transfer function, Bode diagram, Nyquist plot and ...
Abdon Atangana, Ali Akgül
doaj   +1 more source

Semi-Hyers-Ulam-Rassias stability for an integro-differential equation of order 𝓃

open access: yesDemonstratio Mathematica, 2023
The Laplace transform method is applied in this article to study the semi-Hyers-Ulam-Rassias stability of a Volterra integro-differential equation of order n, with convolution-type kernel.
Inoan Daniela, Marian Daniela
doaj   +1 more source

Study on the helicoidal flow through cylindrical annuli with prescribed shear stresses

open access: yesResults in Physics, 2021
In this article, we presented an analysis of the helical flow, for evaluating the incompressible Maxwell fluid indwelling between the two circular regions created by infinitely long concentric circular cylinders.
Muhammad Kamran   +6 more
doaj   +1 more source

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