Results 71 to 80 of about 26,220 (280)
Advanced Engineering Materials, EarlyView.A numerical model resulting from irreversible thermodynamics for describing transport processes is introduced, focusing on thermodynamic activity gradients as the actual driving force for diffusion. Implemented in CUDA C++ and using CalPhaD methods for determining the necessary activity data, the model accurately simulates interdiffusion in aluminum ...
Ulrich Holländer +3 more
wiley +1 more source
Towards the Formalization of Fractional Calculus in Higher-Order Logic
, 2015 Fractional calculus is a generalization of classical theories of integration and differentiation to arbitrary order (i.e., real or complex numbers). In the last two decades, this new mathematical modeling approach has been widely used to analyze a wide ...
AV Oppenheim +32 more
core +1 more source
Advanced Engineering Materials, EarlyView.It is shown that laser ablation pretreatment under oxygen‐free conditions enables copper–aluminium bonding at significantly lower deformation degrees and improved properties compared to mechanical brushing. Laser ablation further increases interface contact area and induces favourable residual stress states and microstructural compatibility ...
Khemais Barienti +11 more
wiley +1 more source
Discrete Laplacian Operator and Its Applications in Signal Processing
IEEE Access, 2020 Fractional calculus has increased in popularity in recent years, as the number of its applications in different fields has increased. Compared to the traditional operations in calculus (integration and differentiation) which are uniquely defined, the ...
Waseem Waheed, Guang Deng, Bo Liu
doaj +1 more source
Results in Physics, 2023 Here, we contemplate discrete-time fractional-order neural connectivity using the discrete nabla operator. Taking into account significant advances in the analysis of discrete fractional calculus, as well as the assertion that the complexities of ...
Maysaa Al-Qurashi +4 more
doaj +1 more source
Chebyshev type inequality on nabla discrete fractional calculus [PDF]
Fractional Differential Calculus, 2016 Summary: In this paper, we establish some Chebyshev type inequalities on discrete fractional calculus with nabla operator (or backward difference operator).
Asliyüce, Serkan, Güvenilir, Feza
openaire +1 more source
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
Analysis of Discrete Mittag - Leffler Functions
International Journal of Analysis and Applications, 2015 Discrete Mittag - Leffler functions play a major role in the development of the theory of discrete fractional calculus. In the present article, we analyze qualitative properties of discrete Mittag - Leffler functions and establish sufficient conditions ...
N. Shobanadevi, J. Jagan Mohan
doaj +2 more sources
Linear fractional discrete-time systems [PDF]
, 2010 Mathematicians have been discussing about the existence (and the meaning) of derivatives and integrals of fractional order since the beginnings of differential calculus.
Vettori, Paolo
core
Advanced Engineering Materials, EarlyView.Stabilization of L‐PBF Ni50.7Ti49.3 under low‐cycle loading was investigated. Recoverable strain after cycling was dependent on the amount of applied load. Recovery ratio was 53.4% and 35.1% at intermediate and high load, respectively. The maximum total strain reached 10.3% at a high load of 1200 MPa.
Ondřej Červinek +5 more
wiley +1 more source