Results 71 to 80 of about 471,184 (284)

Singular Cauchy Problem for a Nonlinear Fractional Differential Equation

Mathematics
The paper studies a nonlinear equation including both fractional and ordinary derivatives. The singular Cauchy problem is considered. The theorem of the existence of uniqueness of a solution in the neighborhood of a fixed singular point of algebraic type
Victor Orlov
doaj   +1 more source

A Priori Error Estimates and Computational Studies for a Fermi Pencil-Beam Equation [PDF]

Journal of Computational and Theoretical Transport, 2018
26 ...
Asadzadeh, M., Beilina, L., Naseer, M., Standar, C.   +3 more
openaire   +2 more sources

Ascorbic Acid Modulates Collagen Properties in Glucocorticoid‐Induced Osteoporotic Bone: Insights into Chemical, Mechanical, and Biological Regulation

Advanced Healthcare Materials, EarlyView.
Osteoporosis from long‐term glucocorticoid (GIOP) use elevates susceptibility to fracture. This study shows GCs impair ascorbic acid (AA) metabolism in osteoblasts, collagen synthesis and extracellular matrix integrity. AA enhanced collagen biochemical and mechanical properties and restored osteoblast and endothelial function. These findings underscore
Micaila DE Curtis, Yoontae Kim, Rahul Patil, Xinran Zhang, Meth Jayatilake, Orelle Bulgin, Peter Lialios, Sana Surrency, Soraya Tarrah, Argyris K. Lazaris, Alison Grafton, James Williams IV, Seyedeh Boshra Nouraie, Maria Bizaki, Penelope Xeron, Edward Van Keuren, Jonathan E. Seppala, Evagelia C. Laiakis, Joanna B. Kitlinska, Stella Alimperti   +19 more
wiley   +1 more source

Numerical solution of the viscoelastic wave equation by Galerkin spectral element method [PDF]

Mathematics and Computational Sciences
In this paper, the Galerkin spectral element method (GSEM) is presented for solving the one-dimensional viscoelastic wave equation. The finite difference approximation is applied for temporal discretization, and the convergence order of the technique is ...
Jalil Rashidinia, Feze Barzegar
doaj   +1 more source

Inverse source problem for time fractional diffusion equation with Mittag-Leffler kernel

Advances in Difference Equations, 2020
In this work, we study the problem to identify an unknown source term for the Atangana–Baleanu fractional derivative. In general, the problem is severely ill-posed in the sense of Hadamard.
Nguyen Huu Can, Nguyen Hoang Luc, Dumitru Baleanu, Yong Zhou, Le Dinh Long   +4 more
doaj   +1 more source

A Synovium‐on‐Chip Platform to Study Multicellular Interactions in Arthritis

Advanced Healthcare Materials, EarlyView.
The Synovium‐on‐Chip comprises a thin microporous PDMS membrane to support co‐culture of fibroblast‐like synoviocytes (FLS), THP‐1‐derived macrophages, and endothelial cells, enabling real‐time analysis of synovial‐vascular interactions. FLS migration through the pores drives endothelial remodeling, while TNF‐α stimulation induces robust inflammatory ...
Laurens R. Spoelstra, Fleur R. Semmekrot, Nuno Araújo‐Gomes, Daniël Wijnperle, Monique M. A. Helsen, Martijn H.J. Van Den Bosch, Loes. I. Segerink, Séverine Le Gac, Marcel Karperien   +8 more
wiley   +1 more source

Atmospheric CO₂ inversions on the mesoscale using data-driven prior uncertainties: quantification of the European terrestrial CO₂ fluxes [PDF]

Atmospheric Chemistry and Physics, 2018
Optimized biogenic carbon fluxes for Europe were estimated from high-resolution regional-scale inversions, utilizing atmospheric CO2 measurements at 16 stations for the year 2007. Additional sensitivity tests with different data-driven error structures
P. Kountouris, C. Gerbig, C. Rödenbeck, U. Karstens, U. Karstens, T. F. Koch, M. Heimann   +6 more
doaj   +1 more source

Beyond Presumptions: Toward Mechanistic Clarity in Metal‐Free Carbon Catalysts for Electrochemical H2O2 Production via Data Science

Advanced Materials, EarlyView.
Metal‐free carbon catalysts enable the sustainable synthesis of hydrogen peroxide via two‐electron oxygen reduction; however, active site complexity continues to hinder reliable interpretation. This review critiques correlation‐based approaches and highlights the importance of orthogonal experimental designs, standardized catalyst passports ...
Dayu Zhu, Hsi‐wen Wu, Xiao Wang, Jie Zhang   +3 more
wiley   +1 more source

Inverse Source Problem for Sobolev Equation with Fractional Laplacian

Journal of Function Spaces, 2022
In this paper, we are interested in the problem of determining the source function for the Sobolev equation with fractional Laplacian. This problem is ill-posed in the sense of Hadamard.
Nguyen Duc Phuong, Van Tien Nguyen, Le Dinh Long   +2 more
doaj   +1 more source

Backward Euler method for the Equations of Motion Arising in Oldroyd Fluids of Order One with Nonsmooth Initial Data [PDF]

, 2012
In this paper, a backward Euler method is discussed for the equations of motion arising in the 2D Oldroyd model of viscoelastic fluids of order one with the forcing term independent of time or in $L^{\infty}$ in time.
Goswami, Deepjyoti, Pani, Amiya K.
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