Results 31 to 40 of about 1,396,623 (126)
Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid +3 more
wiley +1 more source
Creep properties and constitutive model of diabase in deep water conveyance tunnels
The axial and lateral creep characteristics of diabase were analyzed based on compression creep tests. The nonlinear viscoelastic‐plastic model capable of describing the whole creep process was established based on the fractional derivative and damage theories.
Zhigang Tao +5 more
wiley +1 more source
Robust Control Using a Matrix Converter to Enhance Wind Turbine Systems
This study uses a more efficient and effective solution to improve the operational performance of a wind turbine‐based power system. This system uses a doubly fed induction generator and relies on a matrix converter and fractional‐order proportional–integral controller.
Sihem Ghoudelbourk +4 more
wiley +1 more source
ABSTRACT The main results of this paper are the global existence and long time behavior of solutions of a fractional wave equation with a nonlocal nonlinearity. The techniques in this work rely on norm estimates of the solutions of εutt+ut+(−Δ)βu=0,u(0,x)=φ(x),ut(0,x)=ψ(x),$$ \varepsilon {u}_{tt}+{u}_t+{\left(-\Delta \right)}^{\beta }u=0,\kern1em u ...
Ibrahim Ahmad Suleman, Mokhtar Kirane
wiley +1 more source
ABSTRACT Saturated high plasticity clays show complex nonlinear, rate‐dependent, and hysteresis behaviors under non‐monotonic stress paths, requiring advanced mathematical constitutive equations for accurate description. Taking into account the inherent advantages of kinematic hardening mechanisms in simulating complex stress histories, this paper ...
Wei Cheng, Zhen‐Yu Yin
wiley +1 more source
Integrating Experimental Imaging and (Quantum‐Deformation)‐Curvature Dynamics in Bleb Morphogenesis
We propose a (q,τ)$$ \left(q,\tau \right) $$‐fractional geometric flow model for cell blebbing that incorporates hereditary memory and viscoelastic effects in curvature‐driven membrane dynamics. Image‐based measurements of bleb geometry are coupled with fractional evolution equations and validated numerically.
Rabha W. Ibrahim +2 more
wiley +1 more source
Abstract String theory has strong implications for cosmology, implying the absence of a cosmological constant, ruling out single‐field slow‐roll inflation, and that black holes decay. The origins of these statements are elucidated within the string‐theoretical swampland programme.
Kay Lehnert
wiley +1 more source
A fractional residue theorem and its applications in calculating real integrals
Abstract As part of an ongoing effort to fractionalise complex analysis, we present a fractional version of the residue theorem, involving pseudo‐residues calculated at branch points. Since fractional derivatives are non‐local and fractional powers necessitate branch cuts, each pseudo‐residue depends on a line segment in the complex plane rather than a
Egor Zaytsev, Arran Fernandez
wiley +1 more source
We develop and analyze a fractional‐order avian influenza chicken model for chicken farms, providing existence, uniqueness, and stability results. With real Bangladesh farm data and 80% vaccine efficacy, numerical results show that combining vaccination and treatment can control disease spread by reducing the basic reproduction number below one ...
Muhammad Altaf Khan +4 more
wiley +1 more source
This article is a study on the (k,s)-Riemann–Liouville fractional integral, a generalization of the Riemann–Liouville fractional integral. Firstly, we introduce several properties of the extended integral of continuous functions. Furthermore,
Wei Xiao, Bingqian Wang
core +1 more source

