Results 71 to 80 of about 383,064 (247)

Development of a consolidated bioprocess for the production of citric acid using Aspergillus niger as biocatalyst

Biofuels, Bioproducts and Biorefining, EarlyView.
Abstract The industrial production of citric acid, an ingredient in beverages, pharmaceuticals, and cosmetics, is based on microbial fermentation of glucose or sucrose. Given the elevated cost of these sugars, lignocellulosic biomass is emerging as a cost‐effective and environmentally friendly feedstock for sustainable bioprocesses.
Ludovica Varriale, Katrin Kuka, Nils Tippkötter, Lisbeth Olsson, Roland Ulber   +4 more
wiley   +1 more source

On Coupled Systems of Time-Fractional Differential Problems by Using a New Fractional Derivative

Journal of Function Spaces, 2016
The existence of solutions for a coupled system of time-fractional differential equations including continuous functions and the Caputo-Fabrizio fractional derivative is examined.
Ahmed Alsaedi, Dumitru Baleanu, Sina Etemad, Shahram Rezapour   +3 more
doaj   +1 more source

A new Definition of Fractional Derivative and Fractional Integral [PDF]

Kirkuk Journal of Science, 2018
In this paper, we introduce three different definitions of fractional derivatives, namely Riemann-Liouville derivative, Caputo derivative and the new formula Caputo expansion formula, and some basics properties of these derivatives are discussed.
Ahmed M. Kareem
doaj   +1 more source

On a New Modification of the Erdélyi–Kober Fractional Derivative

Fractal and Fractional, 2021
In this paper, we introduce a new Caputo-type modification of the Erdélyi–Kober fractional derivative. We pay attention to how to formulate representations of Erdélyi–Kober fractional integral and derivatives operators.
Zaid Odibat, Dumitru Baleanu
doaj   +1 more source

Solar Energy Storage Optimization Using Fractional Derivative Simulations of Maxwell Hybrid Nanofluid Flow: Entropy Generation Analysis

Energy Science &Engineering, EarlyView.
ABSTRACT This attempt examines the heat transfer enhancement from unsteady bioconvective Maxwell nanofluid flow under the incidence of solar radiation influenced by viscous dissipation and chemical reaction through a porous medium. The nanofluid contains silver and titanium alloy hybrid nanoparticles with gyrotactic micro‐organisms in ethylene glycol ...
Bhupendra K. Sharma, Anup Kumar, Madhu Sharma, Bandar Almohsen, Nehad Ali Shah   +4 more
wiley   +1 more source

Analysis of Nonlinear Fractional Differential Equations Involving Atangana-Baleanu-Caputo Derivative [PDF]

, 2020
In the present paper, we determine the estimations on Atangana-Baleanu-Caputo fractional derivative at extreme points. With the assistance of the estimations obtained, we derive the comparison results. Peano's type existence results established for nonlinear fractional differential equations involving Atangana-Baleanu-Caputo fractional derivative.
arxiv   +1 more source

A Critical Overview of Common Foodborne Toxicants and Methods for Their Reliable Detection

Food Frontiers, EarlyView.
ABSTRACT Food is an essential commodity for human health. However, toxicants such as mycotoxins, heavy metals, acrylamide, and pesticides can be present in food either naturally or through processing, packaging, or some anthropogenic activities. A thorough review of carefully selected studies revealed that climate change and pandemics have led to an ...
Betty Bowe Acquah, John‐Lewis Zinia Zaukuu   +1 more
wiley   +1 more source

A Simple and Effective Second-Order Numerical Algorithm for Tempered Fractional Differential Equation With Time Caputo-Tempered Fractional Derivative

Advances in Mathematical Physics
This paper presents an efficient numerical scheme for the space–time tempered fractional convection–diffusion equation, where the time derivative is the Caputo-tempered fractional derivative and the space derivatives are the normalized left and right ...
Dechao Gao, Zeshan Qiu, Lizan Wang, Jianxin Li   +3 more
doaj   +1 more source

Comparison of third-order fractional partial differential equation based on the fractional operators using the explicit finite difference method

Alexandria Engineering Journal, 2023
In this research paper, the third-order fractional partial differential equation (FPDE) in the sense of the Caputo fractional derivative and the Atangana-Baleanu Caputo (ABC) fractional derivative is investigated for the first time. The importance of the
Shorish Omer Abdulla, Sadeq Taha Abdulazeez, Mahmut Modanli   +2 more
doaj  

A PRIORI ESTIMATION OF A GENERALIZED NONLOCAL BOUNDARY VALUE PROBLEM FOR A THRID ORDER EQUATION WITH A FRACTIONAL TIME CAPUTO DERIVATIVE [PDF]

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2019
A boundary value problem for a third-order parabolic equation with a fractional Caputo derivative is considered. A priori estimation of the solution of a generalized nonlocal boundary value problem for an equation with multiple characteristics with a ...
A. M. Shkhagapsoev
doaj   +1 more source