Sign in to use this feature.

Years

Between: -

Subjects

remove_circle_outline
remove_circle_outline
remove_circle_outline
remove_circle_outline

Journals

Article Types

Countries / Regions

Search Results (5)

Search Parameters:
Keywords = LFDOs

Order results
Result details
Results per page
Select all
Export citation of selected articles as:
19 pages, 17212 KB  
Article
Dietary Pea Fibre Improves Obesity, Intestinal Barrier, Reproductive Performance, Offspring Health of Parent Mice Deprived of Dietary Fibre
by Siqi Tian, Mi Zhang, Yanhong Chen, Hanqing Sun, Qingqing Li, Yajin Yang and Aiwei Guo
Animals 2025, 15(5), 655; https://doi.org/10.3390/ani15050655 - 24 Feb 2025
Cited by 1 | Viewed by 2000
Abstract
As a potential high-quality protein food, peas are enriched in protein and fibre. This study investigated the judicious utilisation of pea fibre and the impact of maternal diet on offspring health in mice. Thirty-six eight-week-old, female, healthy C57BL/6J mice were divided into three [...] Read more.
As a potential high-quality protein food, peas are enriched in protein and fibre. This study investigated the judicious utilisation of pea fibre and the impact of maternal diet on offspring health in mice. Thirty-six eight-week-old, female, healthy C57BL/6J mice were divided into three groups at random (n = 12 per group): deprived fibre diet (DFD), 5% pea fibre diet (LFD), and 10% pea fibre diet (HFD). After weaning, the offspring mice were fed the same diet as their parents; the respective corresponding groups were DFDO, LFDO, and HFDO. Fibre-deprived mice exhibited decreased average litter size, diminished reproductive performance, increased body weight, and intestinal barrier damage. Mice fed pea fibre showed increased litter size, improved fertility rate of parental mice, regulated body weight, and maintained a normal intestinal barrier morphology without inflammatory cell infiltration. Furthermore, 16S rRNA analysis revealed that pea fibre enhanced diversity and richness of the intestinal microbiota and altered microbial composition. Notably, changes in Lactobacillus and Parabacteroides in fibre-deprived mice suggest that pea fibre might be a potentially beneficial option for neuropsychiatric diseases. In conclusion, supplementing the diet of maternal mice with pea fibre can mitigate the aforementioned issues in their offspring. This study emphasised the crucial role of maternal fibre consumption in increasing litter size, promoting gut health in offspring, and reducing susceptibility to obesity. Full article
(This article belongs to the Section Animal Nutrition)
Show Figures

Figure 1

12 pages, 4083 KB  
Article
Solving Helmholtz Equation with Local Fractional Derivative Operators
by Dumitru Baleanu, Hassan Kamil Jassim and Maysaa Al Qurashi
Fractal Fract. 2019, 3(3), 43; https://doi.org/10.3390/fractalfract3030043 - 1 Aug 2019
Cited by 59 | Viewed by 3887
Abstract
The paper presents a new analytical method called the local fractional Laplace variational iteration method (LFLVIM), which is a combination of the local fractional Laplace transform (LFLT) and the local fractional variational iteration method (LFVIM), for solving the two-dimensional Helmholtz and coupled Helmholtz [...] Read more.
The paper presents a new analytical method called the local fractional Laplace variational iteration method (LFLVIM), which is a combination of the local fractional Laplace transform (LFLT) and the local fractional variational iteration method (LFVIM), for solving the two-dimensional Helmholtz and coupled Helmholtz equations with local fractional derivative operators (LFDOs). The operators are taken in the local fractional sense. Two test problems are presented to demonstrate the efficiency and the accuracy of the proposed method. The approximate solutions obtained are compared with the results obtained by the local fractional Laplace decomposition method (LFLDM). The results reveal that the LFLVIM is very effective and convenient to solve linear and nonlinear PDEs. Full article
Show Figures

Figure 1

8 pages, 249 KB  
Article
A Modification Fractional Homotopy Perturbation Method for Solving Helmholtz and Coupled Helmholtz Equations on Cantor Sets
by Dumitru Baleanu and Hassan Kamil Jassim
Fractal Fract. 2019, 3(2), 30; https://doi.org/10.3390/fractalfract3020030 - 3 Jun 2019
Cited by 63 | Viewed by 3291
Abstract
In this paper, we apply a new technique, namely, the local fractional Laplace homotopy perturbation method (LFLHPM), on Helmholtz and coupled Helmholtz equations to obtain analytical approximate solutions. The iteration procedure is based on local fractional derivative operators (LFDOs). This method is a [...] Read more.
In this paper, we apply a new technique, namely, the local fractional Laplace homotopy perturbation method (LFLHPM), on Helmholtz and coupled Helmholtz equations to obtain analytical approximate solutions. The iteration procedure is based on local fractional derivative operators (LFDOs). This method is a combination of the local fractional Laplace transform (LFLT) and the homotopy perturbation method (HPM). The method in general is easy to implement and yields good results. Illustrative examples are included to demonstrate the validity and applicability of the new technique. Full article
12 pages, 1376 KB  
Article
Approximate Solutions of the Damped Wave Equation and Dissipative Wave Equation in Fractal Strings
by Dumitru Baleanu and Hassan Kamil Jassim
Fractal Fract. 2019, 3(2), 26; https://doi.org/10.3390/fractalfract3020026 - 11 May 2019
Cited by 49 | Viewed by 4313
Abstract
In this paper, we apply the local fractional Laplace variational iteration method (LFLVIM) and the local fractional Laplace decomposition method (LFLDM) to obtain approximate solutions for solving the damped wave equation and dissipative wave equation within local fractional derivative operators (LFDOs). The efficiency [...] Read more.
In this paper, we apply the local fractional Laplace variational iteration method (LFLVIM) and the local fractional Laplace decomposition method (LFLDM) to obtain approximate solutions for solving the damped wave equation and dissipative wave equation within local fractional derivative operators (LFDOs). The efficiency of the considered methods are illustrated by some examples. The results obtained by LFLVIM and LFLDM are compared with the results obtained by LFVIM. The results reveal that the suggested algorithms are very effective and simple, and can be applied for linear and nonlinear problems in sciences and engineering. Full article
(This article belongs to the Special Issue 2019 Selected Papers from Fractal Fract’s Editorial Board Members)
Show Figures

Figure 1

9 pages, 229 KB  
Article
On the Existence and Uniqueness of Solutions for Local Fractional Differential Equations
by Hossein Jafari, Hassan Kamil Jassim, Maysaa Al Qurashi and Dumitru Baleanu
Entropy 2016, 18(11), 420; https://doi.org/10.3390/e18110420 - 23 Nov 2016
Cited by 33 | Viewed by 5285
Abstract
In this manuscript, we prove the existence and uniqueness of solutions for local fractional differential equations (LFDEs) with local fractional derivative operators (LFDOs). By using the contracting mapping theorem (CMT) and increasing and decreasing theorem (IDT), existence and uniqueness results are obtained. Some [...] Read more.
In this manuscript, we prove the existence and uniqueness of solutions for local fractional differential equations (LFDEs) with local fractional derivative operators (LFDOs). By using the contracting mapping theorem (CMT) and increasing and decreasing theorem (IDT), existence and uniqueness results are obtained. Some examples are presented to illustrate the validity of our results. Full article
(This article belongs to the Special Issue Wavelets, Fractals and Information Theory II)
Back to TopTop