Results 91 to 100 of about 2,923,613 (246)
Nonlinear Engineering, 2018 In this paper, the fractional derivatives in the sense of modified Riemann–Liouville and the Riccati-Bernoulli Sub-ODE method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear fractional ...
Abdelrahman Mahmoud A.E.
doaj +1 more source
A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions
Advanced Engineering Materials, EarlyView.This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice +2 more
wiley +1 more source
Chebyshev Finite Difference Method for Fractional Boundary Value Problems
Journal of Mathematical Extension, 2015 This paper presents a numerical method for fractional differential equations using Chebyshev finite difference method. The fractional derivatives are described in the Caputo sense.
Boundary
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Advanced Engineering Materials, EarlyView.Low‐cycle fatigue damage in Mn–Mo–Ni reactor pressure vessel steel is examined using a combined electron backscatter diffraction and positron annihilation lifetime spectroscopy approach. The study correlates texture evolution, dislocation substructure development, and vacancy‐type defect formation across uniform, necked, and fracture regions, providing
Apu Sarkar +2 more
wiley +1 more source
Practical Stability of Caputo fractional differential equations by Lyapunov functions
, 2016 The practical stability of a nonlinear nonautonomous Caputo fractional differential equation is studied using Lyapunov like functions. The novelty of this paper is based on the new definition of the derivative of a Lyapunov like function along the given ...
Donal 'Regan +5 more
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Advanced Engineering Materials, EarlyView.Geometry‐driven thermal behavior in wire‐arc additive manufacturing (WAAM) influences microstructural evolution during nonequilibrium solidification of a chemically complex Fe–Cr–Nb–W–Mo–C nanocomposite system. By comparing different deposits configurations, distinct entropy–cooling rate correlations, segregation, and carbide evolution are revealed ...
Blanca Palacios +5 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.A simplified thermoplastic pultrusion model is developed to predict thermal fields in glass fiber/polyethylene terephthalate (GF/PET) composites with reduced computational cost. By combining effective material homogenization, validation against literature data, and Gaussian‐process‐based optimization, the study reveals how heating limits, pulling speed,
Elder Soares +3 more
wiley +1 more source
A nagumo-like uniqueness theorem for fractional differential equations
, 2011 We extend to fractional differential equations a recent generalization of the Nagumo uniqueness theorem for ordinary differential equations of first order.peer ...
Băleanu, Dumitru +2 more
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Advanced Engineering Materials, EarlyView.Mass density governs the protective behavior of oxide layers on nuclear fuel cladding. Ptychographic X‐ray computed tomography measures zirconium oxide grown on Zircaloy‐4 under reactor and autoclave conditions, revealing nearly identical bulk densities of 5.1 ± 0.80 g cm−3.
Okan Yetik +9 more
wiley +1 more source
SOLVABILITY FOR A COUPLED SYSTEM OF 4-SEQUENTIAL FRACTIONAL DIFFERENTIAL EQUATIONS [PDF]
The present work deals with a coupled system of fractional differential equations involving four sequential Caputo derivatives in each of its components.
Dahmani, Zoubir +2 more
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