Results 111 to 120 of about 56,071 (293)

On the Leibniz rule and Laplace transform for fractional derivatives

open access: yes, 2019
Taylor series is a useful mathematical tool when describing and constructing a function. With the series representation, some properties of fractional calculus can be revealed clearly.
Liu, Da-Yan   +3 more
core   +1 more source

Interval‐valued Caputo–Fabrizio fractional derivative in continuous programming

open access: yesAsian Journal of Control, EarlyView.
Abstract This study investigates a novel class of variational programming problems characterized by fractional interval values, formulated under the Caputo–Fabrizio fractional derivative with an exponential kernel. Invex and generalized invex functions are used to discuss the Mond–Weir‐type dual problem for the considered variational problem.
Krishna Kummari   +2 more
wiley   +1 more source

Uniqueness for weak solutions of parabolic equations with a fractional time derivative

open access: yes, 2018
We prove uniqueness for weak solutions to abstract parabolic equations with the fractional Marchaud or Caputo time derivative. We consider weak solutions in time for divergence form equations when the fractional derivative is transferred to the test ...
Allen, Mark
core   +1 more source

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

open access: yesBiofuels, 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   +4 more
wiley   +1 more source

Impedance Modeling and Analysis of PV Inverters Considering Fractional‐Order Characteristics of Elements

open access: yesInternational Journal of Circuit Theory and Applications, EarlyView.
This manuscript finds that the previous impedance modeling and stability analysis methods for photovoltaic inverters have not yet considered the fractional‐order characteristics of the elements; in order to make up for the blank in this research field, this paper carried out relevant work.
Guanlei Li   +4 more
wiley   +1 more source

Fractional Mass-Spring-Damper System Described by Generalized Fractional Order Derivatives

open access: yesFractal and Fractional, 2019
This paper proposes novel analytical solutions of the mass-spring-damper systems described by certain generalized fractional derivatives. The Liouville−Caputo left generalized fractional derivative and the left generalized fractional derivative ...
Ndolane Sene   +1 more
doaj   +1 more source

Multiple Fractional Solutions for Magnetic Bio-Nanofluid Using Oldroyd-B Model in a Porous Medium with Ramped Wall Heating and Variable Velocity

open access: yesApplied Sciences, 2020
Three different fractional models of Oldroyd-B fluid are considered in this work. Blood is taken as a special example of Oldroyd-B fluid (base fluid) with the suspension of gold nanoparticles, making the solution a biomagnetic non-Newtonian nanofluid ...
Muhammad Saqib   +5 more
doaj   +1 more source

Nudging local: Do information treatments work?

open access: yesJournal of the Agricultural and Applied Economics Association, EarlyView.
Abstract This study examines how information nudges shape consumer preferences for locally grown foods. Using an online discrete choice experiment with blueberries, we assess the effectiveness of tailored information emphasizing local economy support, quality, and environmental benefits in increasing consumer valuation of state‐branded products ...
Younghyeon Jeon   +5 more
wiley   +1 more source

Nonlinear Caputo Fractional Derivative with Nonlocal Riemann-Liouville Fractional Integral Condition Via Fixed Point Theorems

open access: yesSymmetry, 2019
In this paper, we study and investigate an interesting Caputo fractional derivative and Riemann–Liouville integral boundary value problem (BVP): c D 0 + q u ( t ) = f ( t , u ( t ) ) , t ∈ [ 0 , T ] , u ( k ) ( 0 ) = ξ k , u ( T ) = ∑ i = 1 m β i R L I 0
Piyachat Borisut   +3 more
semanticscholar   +1 more source

On the analyzing of bifurcation properties of the one‐dimensional Mackey–Glass model by using a generalized approach

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang   +5 more
wiley   +1 more source

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