Results 51 to 60 of about 3,658,718 (281)

Local Fuzzy Fractional Partial Differential Equations in the Realm of Fractal Calculus with Local Fractional Derivatives

Fractal and Fractional, 2023
In this study, local fuzzy fractional partial differential equations (LFFPDEs) are considered using a hybrid local fuzzy fractional approach. Fractal model behavior can be represented using fuzzy partial differential equations (PDEs) with local ...
Mawia Osman, Muhammad Marwan, Syed Omar Shah, Lamia Loudahi, Mahvish Samar, Ebrima Bittaye, Altyeb Mohammed Mustafa   +6 more
doaj   +1 more source

A Reliable Technique for Solving Fractional Partial Differential Equation

Axioms, 2022
The development of numeric-analytic solutions and the construction of fractional-order mathematical models for practical issues are of the greatest importance in a variety of applied mathematics, physics, and engineering problems. The Laplace residual-power-series method (LRPSM), a new and dependable technique for resolving fractional partial ...
Azzh Saad Alshehry, Rasool Shah, Nehad Ali Shah, Ioannis Dassios   +3 more
openaire   +2 more sources

Improved ()-Expansion Method for the Space and Time Fractional Foam Drainage and KdV Equations

Abstract and Applied Analysis, 2013
The fractional complex transformation is used to transform nonlinear partial differential equations to nonlinear ordinary differential equations. The improved ()-expansion method is suggested to solve the space and time fractional foam drainage and KdV ...
Ali Akgül, Adem Kılıçman, Mustafa Inc   +2 more
doaj   +1 more source

Impulsive Hilfer fractional differential equations

Advances in Difference Equations, 2018
Existence and controllability results for nonlinear Hilfer fractional differential equations are studied. Sufficient conditions for existence and approximate controllability for Sobolev-type impulsive fractional differential equations are established ...
Hamdy M. Ahmed, Mahmoud M. El-Borai, Hassan M. El-Owaidy, Ahmed S. Ghanem   +3 more
doaj   +1 more source

Modelling stem cell differentiation related processes—A practical overview for biologists

FEBS Letters, EarlyView.
Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar, Xinqi Yan, Lucas F. Jansen Klomp, Stefano Schivo, Janine N. Post   +4 more
wiley   +1 more source

Exact solutions of the conformable fractional EW and MEW equations by a new generalized expansion method

Journal of Ocean Engineering and Science, 2020
In this paper, we used the generalized (G'/G)-expansion method to construct exact solutions for conformable fractional nonlinear partial differential equations.
Muhannad A. Shallal, Khalid K. Ali, Kamal R. Raslan, Hadi Rezazadeh, Ahmet Bekir   +4 more
doaj   +1 more source

Autophagy and mitophagy in pancreatic β‐cell homeostasis and their involvement in diabetes pathophysiology

FEBS Letters, EarlyView.
This review focuses on the role of autophagy and mitophagy in maintaining pancreatic β‐cell function and homeostasis. We discuss how genetic defects affecting these pathways contribute to the development of type 1, type 2, monogenic, and gestational diabetes. We further explore their potential as therapeutic targets. Created in BioRender.
Yunkyeong Lee, Mingming Tong, Anna L. Gloyn   +2 more
wiley   +1 more source

Application of Modified Laplace Variational Iteration Hybrid Approach for Solving Time-Fractional Fourth-Order Parabolic PDEs

Journal of Applied Mathematics
The current study is aimed at obtaining analytical solutions of fourth-order parabolic partial differential equations of time-fractional derivative with variable coefficients.
Mehari Fentahun Endalew, Xiaoming Zhang
doaj   +1 more source

Partial depletion of plasminogen activator inhibitor‐1 decreases subcutaneous fat cell hypertrophy and liver cholesterol in high‐fat‐fed female mice

FEBS Letters, EarlyView.
Obesity raises blood levels of PAI‐1, a protein linked to metabolic dysfunction‐associated steatotic liver disease in people with obesity. In female mice fed a high‐fat diet, partially lowering PAI‐1 led to smaller subcutaneous fat cells and lower liver cholesterol, without changing body weight or insulin sensitivity.
Claudia E. Ramirez Bustamante, Robert Sharp, Pradip K. Saha, Elizabeth S. Anaya, Elizabeth L. Lieu, Evelyn L. de Groot, Pooja Patel, Mi Jeong Heo, Aaron R. Cox, Kang Ho Kim, Sean M. Hartig   +10 more
wiley   +1 more source

Emerging experimental and computational methods for studying redox‐regulated structural transitions

FEBS Letters, EarlyView.
Redox reactions can reshape proteins and alter how they behave in cells, with important consequences for health and disease. This review explores emerging experimental and computational approaches for discovering these redox‐sensitive protein switches, revealing their structural effects, and predicting their behavior, opening new opportunities to ...
Tasneem Rass, Dana Reichmann, Gábor Erdős   +2 more
wiley   +1 more source