Results 41 to 50 of about 42,784 (333)

Octonion Special Affine Fourier Transform: Pitt’s Inequality and the Uncertainty Principles

Fractal and Fractional, 2023
The special affine Fourier transform (SAFT) is an extended version of the classical Fourier transform and incorporates various signal processing tools which include the Fourier transforms, the fractional Fourier transform, the linear canonical transform,
Mohammad Younus Bhat, Aamir Hamid Dar, Mohra Zayed, Serkan Araci   +3 more
doaj   +1 more source

Influence of MHD on Some Oscillating Motions of a Fractional Burgers' Fluid

مجلة بغداد للعلوم, 2015
This paper presents a study for the influence of magnetohydrodynamic (MHD) on the oscillating flows of fractional Burgers’ fluid. The fractional calculus approach in the constitutive relationship model is introduced and a fractional Burgers’ model is ...
Baghdad Science Journal
doaj   +1 more source

Analytical solutions to the advection-diffusion equation with Atangana-Baleanu time-fractional derivative and a concentrated loading

Alexandria Engineering Journal, 2021
In this communication we have studied well known physical process of two-dimensional advection–diffusion phenomena. The advection–diffusion equation is time-fractionalized by exploiting Atangana-Baleanu fractional derivative operator.
Itrat Abbas Mirza, Muhammad Saeed Akram, Nehad Ali Shah, Waqas Imtiaz, Jae Dong Chung   +4 more
doaj   +1 more source

Synthesis of mutual intensity distributions using the fractional Fourier transform [PDF]

, 1996
Cataloged from PDF version of article.Our aim in this paper is to obtain the best synthesis of a desired mutual intensity dis~but~on, by filtering in fractional Fourier domains.
Erden, M. F., Mendlovic, D., Ozaktas, H. M.   +2 more
core   +1 more source

New generalized Fourier transforms and their applications to ordinary, partial and fractional differential equations

Miskolc Mathematical Notes
This article presents new generalized definitions of Fourier, Fourier sine, Fourier cosine, inverse Fourier, inverse Fourier sine and inverse Fourier cosine transforms, which encompass various studies on the generalized Fourier transforms in the existing
Enes Ata, İ. Onur Kıymaz
doaj   +1 more source

Analytical Solution of Generalized Space-Time Fractional Advection-Dispersion Equation via Coupling of Sumudu and Fourier Transforms

Frontiers in Physics, 2019
The objective of this article is to present the computable solution of space-time advection-dispersion equation of fractional order associated with Hilfer-Prabhakar fractional derivative operator as well as fractional Laplace operator.
Vinod Gill, Jagdev Singh, Yudhveer Singh
doaj   +1 more source

Analytical Solutions of a Class of Fluids Models with the Caputo Fractional Derivative

Fractal and Fractional, 2022
This paper studies the analytical solutions of the fractional fluid models described by the Caputo derivative. We combine the Fourier sine and the Laplace transforms.
Ndolane Sene
doaj   +1 more source

Solution of generalized fractional reaction-diffusion equations

, 2007
This paper deals with the investigation of a closed form solution of a generalized fractional reaction-diffusion equation. The solution of the proposed problem is developed in a compact form in terms of the H-function by the application of direct and ...
A. Compte, A. Erdélyi, A. Erdélyi, A. Erdélyi, A. Erdélyi, A. M. Mathai, A. Wiman, A.A. Kilbas, A.M. Mathai, A.P. Prudnikov, B.I. Henry, B.I. Henry, B.I. Henry, D. Del-Castillo-Negrete, E.M. Wright, E.M. Wright, E.M. Wright, G. Nicolis, H. Haken, H. J. Haubold, H. Wilhelmsson, H.J. Haubold, H.J. Haubold, I. Podlubny, I.M. Gelfand, K.B. Oldham, K.S. Miller, M. Caputo, M.G. Mittag-Leffler, M.G. Mittag-Leffler, M.M. Dzherbashyan, M.M. Dzherbashyan, R. K. Saxena, R. Metzler, R. Metzler, R.K. Saxena, R.K. Saxena, R.K. Saxena, R.K. Saxena, S. Jespersen, S.G. Samko, T.D. Frank, Yu.A. Brychkov   +42 more
core   +1 more source

Thermal characteristics of longitudinal fin with Fourier and non-Fourier heat transfer by Fourier sine transforms

Scientific Reports, 2021
The quest for high-performance of heat transfer components on the basis of accommodating shapes, smaller weights, lower costs and little volume has significantly diverted the industries for the enhancement of heat dissipation with variable thermal ...
Basma Souayeh, Kashif Ali Abro
doaj   +1 more source

Visual Recovery Reflects Cortical MeCP2 Sensitivity in Rett Syndrome

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Rett syndrome (RTT) is a devastating neurodevelopmental disorder with developmental regression affecting motor, sensory, and cognitive functions. Sensory disruptions contribute to the complex behavioral and cognitive difficulties and represent an important target for therapeutic interventions.
Alex Joseph Simon, Nathalie Picard, Valeria d'Andrea, Enchi Chang, Joseph Leffler, Eleonora Centofante, Matthew Taylor, Francesca Bardi, Francesca Cavicchiolo, Takao K. Hensch, Stefano Panzeri, Chinfei Chen, Michela Fagiolini   +12 more
wiley   +1 more source