Results 41 to 50 of about 40,269 (290)

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

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

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

Fractional Fourier transforms and their optical implementation: I [PDF]

, 1993
Cataloged from PDF version of article.Fourier transforms of fractional order a are defined in a manner such that the common Fourier transform is a special case with order a = 1.
Mendlovic, D., Ozaktas, H. M.
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

Exact solutions for natural convection flows of generalized Brinkman type fluids: A Prabhakar-like fractional model with generalized thermal transport

Case Studies in Thermal Engineering, 2021
Natural convection flow of unsteady Prabhakar-like fractional Brinkman type fluids over an infinite vertical heated wall with uniform heat flux is studied.
Yu-Liang Sun, Nehad Ali Shah, Zar Ali Khan, Y.M. Mahrous, Bakhtiar Ahmad, Jae Dong Chung, M. Niaz Khan   +6 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

Analytical Solution of Fractional Oldroyd-B Fluid via Fluctuating Duct

Complexity, 2021
This investigation focuses on the mixed initial boundary value problem with Caputo fractional derivatives. The studied pour an incompressible fractionalized Oldroyd-B fluid prompted by fluctuating rectangular tube. The explicit expression of the velocity
Ying Qing Song, Aamir Farooq, Muhammad Kamran, Sadique Rehman, Muhammad Tamoor, Rewayat Khan, Asfand Fahad, Muhammad Imran Qureshi   +7 more
doaj   +1 more source

A light‐triggered Time‐Resolved X‐ray Solution Scattering (TR‐XSS) workflow with application to protein conformational dynamics

FEBS Open Bio, EarlyView.
Time‐resolved X‐ray solution scattering captures how proteins change shape in real time under near‐native conditions. This article presents a practical workflow for light‐triggered TR‐XSS experiments, from data collection to structural refinement. Using a calcium‐transporting membrane protein as an example, the approach can be broadly applied to study ...
Fatemeh Sabzian‐Molaei, Fredrik Orädd, Konstantinos Magkakis, Magnus Andersson   +3 more
wiley   +1 more source