Results 81 to 90 of about 2,558 (225)

Mathematical Model of Fractional Duffing Oscillator with Variable Memory

open access: yesMathematics, 2020
The article investigates a mathematical model of the Duffing oscillator with a variable fractional order derivative of the Riemann–Liouville type. The study of the model is carried out using a numerical scheme based on the approximation of the fractional
Valentine Kim, Roman Parovik
doaj   +1 more source

On Gauge‐Invariant Entire Function Regulators and UV Finiteness in Non Local Quantum Field Theory

open access: yesAnnalen der Physik, Volume 538, Issue 4, April 2026.
We regulate the theory with an entire function of the covariant operator F(□/M∗2)$F(\square /M^{2}_{*})$. In the perturbative vacuum this becomes a momentum‐space factor F(−p2/M∗2)$F(-p^{2}/M^{2}_{*})$ that exponentially damps high momenta, most transparent after Wick rotation, rendering loop integrals UV finite.
J. W. Moffat, E. J. Thompson
wiley   +1 more source

Integrating Experimental Imaging and (Quantum‐Deformation)‐Curvature Dynamics in Bleb Morphogenesis

open access: yesEngineering Reports, Volume 8, Issue 4, April 2026.
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

Solution set for fractional differential equations with Riemann-Liouville derivative

open access: yesFractional Calculus and Applied Analysis, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chalco-Cano, Yurilev   +3 more
openaire   +6 more sources

Fractional-order boundary value problem with Sturm-Liouville boundary conditions

open access: yesElectronic Journal of Differential Equations, 2015
Using the new conformable fractional derivative, which differs from the Riemann-Liouville and Caputo fractional derivatives, we reformulate the second-order conjugate boundary value problem in this new setting.
Douglas R. Anderson, Richard I. Avery
doaj  

Asymptotic Expansions of Fractional Derivatives andTheir Applications

open access: yesMathematics, 2015
We compare the Riemann–Liouville fractional integral (fI) of a function f(z)with the Liouville fI of the same function and show that there are cases in which theasymptotic expansion of the former is obtained from those of the latter and the differenceof ...
Tohru Morita, Ken-ichi Sato
doaj   +1 more source

Hitchhiker's Guide to the Swampland: The Cosmologist's Handbook to the String‐Theoretical Swampland Programme

open access: yesFortschritte der Physik, Volume 74, Issue 4, April 2026.
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

Vibrations of a Simply Supported Beam with a Fractional Viscoelastic Material Model – Supports Movement Excitation

open access: yesShock and Vibration, 2013
The paper presents vibration analysis of a simply supported beam with a fractional order viscoelastic material model. The Bernoulli-Euler beam model is considered. The beam is excited by the supports movement.
Jan Freundlich
doaj   +1 more source

The Linearized Korteweg–de Vries Equation on the Line With Metric Graph Defects

open access: yesStudies in Applied Mathematics, Volume 156, Issue 4, April 2026.
ABSTRACT We study the small‐amplitude linearization of the Korteweg–de Vries equation on the line with a local defect scattering waves represented by a metric graph domain adjoined at one point. For a representative collection of examples, we derive explicit solution formulas expressed as contour integrals and obtain existence and unicity results for ...
D. A. Smith
wiley   +1 more source

Solving General Differential Equations of Fractional Orders Via Rohit Transform [PDF]

open access: yesKirkuk Journal of Science
inspecting the attributes of derivatives and integrals of fractional orders known as fractional derivatives and integrals. In this article, a far-out complex integral transform known as the Rohit transform (RT) is put into use for working out general ...
Rohit Gupta, Rahul Gupta, Dinesh Verma
doaj   +1 more source

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