Results 51 to 60 of about 35,364 (303)

Fractional SDEs with stochastic forcing: Existence, uniqueness, and approximation

Nonlinear Analysis, 2023
In this article, we are interested in fractional stochastic differential equations (FSDEs) with stochastic forcing, i.e., to FSDE we add a stochastic forcing term.
Kęstutis Kubilius
doaj   +1 more source

Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading

Advanced Engineering Materials, EarlyView.
The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley   +1 more source

Existence and Stability Results for Nonlinear Boundary Value Problem for Implicit Differential Equations of Fractional Order

Moroccan Journal of Pure and Applied Analysis, 2015
In this paper, we establish sufficient conditions for the existence and stability of solutions for a class of boundary value problem for implicit fractional differential equations with Caputo fractional derivative. The arguments are based upon the Banach
Benchohra Mouffak, Bouriah Soufyane
doaj   +1 more source

Application of Riemann–Liouville Derivatives on Second-Order Fractional Differential Equations: The Exact Solution

Fractal and Fractional, 2023
This paper applies two different types of Riemann–Liouville derivatives to solve fractional differential equations of second order. Basically, the properties of the Riemann–Liouville fractional derivative depend mainly on the lower bound of the integral ...
Abdulrahman B. Albidah
doaj   +1 more source

Fast, Accurate and Robust Adaptive Finite Difference Methods for Fractional Diffusion Equations: The Size of the Timesteps does Matter

, 2014
The computation time required by standard finite difference methods with fixed timesteps for solving fractional diffusion equations is usually very large because the number of operations required to find the solution scales as the square of the number of
Quintana-Murillo, Joaquin, Yuste, Santos B.   +1 more
core   +1 more source

Numerical Exploration of Thermal Shock Resistance in MgO–C Refractories

Advanced Engineering Materials, EarlyView.
A mesostructure‐resolved numerical framework is developed to evaluate the thermal shock resistance of MgO–C refractories. By modeling interface debonding under rapid temperature changes and introducing a modified thermal shock parameter that accounts for mesocracks, the study shows how graphite content and aggregate size influence thermal shock ...
Jishnu Vinayak Gopi, Stephan Roth, Christos G. Aneziris, Bjoern Kiefer   +3 more
wiley   +1 more source

On the existence and Ulam-Hyers stability for implicit fractional differential equation via fractional integral-type boundary conditions

Demonstratio Mathematica
This study investigates the existence of solutions for implicit fractional differential equations with fractional-order integral boundary conditions. We create the required conditions to ensure unique solution and Ulam-Hyers-Rassias stability.
El-Sayed Ahmed Mohamad, Al-Issa Shorouk Mahmoud, El Miari Maysaa Mohamad   +2 more
doaj   +1 more source

Stability Results for Nonlinear Implicit ϑ-Caputo Fractional Differential Equations with Fractional Integral Boundary Conditions

International Journal of Differential Equations, 2023
This article examines the necessary conditions for the unique existence of solutions to nonlinear implicit ϑ-Caputo fractional differential equations accompanied by fractional order integral boundary conditions.
Issam Kaddoura, Yahia Awad
doaj   +1 more source

Towards an Efficient Finite Element Method for the Integral Fractional Laplacian on Polygonal Domains

, 2017
We explore the connection between fractional order partial differential equations in two or more spatial dimensions with boundary integral operators to develop techniques that enable one to efficiently tackle the integral fractional Laplacian.
AA Golovin, AH Stroud, Alexandre Ern, BJ West, IG Graham, IH Sloan, IH Sloan, Krzysztof Bogdan, L Caffarelli, LR Scott, M D’Elia, Mark Ainsworth, Mark Ainsworth, MG Duffy, MM Meerschaert, P Ciarlet, Raffaella Servadei, RH Nochetto, RK Getoor, S Erichsen, SA Silling, Stefan A. Sauter, T Koto, W Hackbusch, WCH McLean, Y Yan, ZQ Chen   +26 more
core   +1 more source

Solvent Co‐Intercalation Enabled Ca Storage in MoS2 for Ca‐Ion Batteries

Advanced Functional Materials, EarlyView.
Regulating electrolyte solvation levels enables otherwise non‐intercalatable Ca2+ ions to reversibly co‐intercalate into molybdenum disulfide (MoS2) as ether‐solvated species. The intercalation reversibility is strongly governed by solvent chain length, as demonstrated using diethylene glycol dimethyl ether (G2) and tetraethylene glycol dimethyl ether (
Yudong Luo, Matthias Golomb, Yupei Han, Pan He, Neubi Xavier, Wanjun Ren, Yi Lu, Matthew Hopper, Henry R. Tinker, Qiong Cai, Yang Xu   +10 more
wiley   +1 more source