Results 91 to 100 of about 599,088 (208)

Capturing Complex Rate‐Dependent Behaviors of Saturated Clays: A Fractional Consistency Kinematic Hardening Viscoplastic Approach

International Journal for Numerical and Analytical Methods in Geomechanics, Volume 50, Issue 8, Page 3281-3296, 10 June 2026.
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

Engineering 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, Dumitru Baleanu, Soheil Salahshour   +2 more
wiley   +1 more source

Fast algorithms for convolution quadrature of Riemann-Liouville fractional derivative [PDF]

, 2019
Recently, the numerical schemes of the Fokker-Planck equations describing anomalous diffusion with two internal states have been proposed in [Nie, Sun and Deng, arXiv: 1811.04723], which use convolution quadrature to approximate the Riemann-Liouville ...
Nie, Daxin, Deng, Weihua, Sun, Jing
core   +1 more source

Extended Riemann-Liouville type fractional derivative operator with applications [PDF]

, 2017
The main purpose of this paper is to introduce a class of new extended forms of the beta function, Gauss hypergeometric function and Appell-Lauricella hypergeometric functions by means of the modified Bessel function of the third kind.
Nieto Juan J., Agarwal P., Luo M.-J.
core   +2 more sources

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

Fortschritte 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

SOLVABILITY OF THE CAUCHY PROBLEM FOR EQUATIONS WITH RIEMANN–LIOUVILLE’S FRACTIONAL DERIVATIVES

Doklady of the National Academy of Sciences of Belarus, 2018
In this article we study the solvability of the analogue of the Cauchy problem for ordinary differential equations with Riemann–Liouville’s fractional derivatives with a nonlinear restriction on the right-hand side of functions in certain spaces. The conditions for solvability of the problem under consideration in given function spaces, as well as the ...
Zabreĭko, Petr Petrovich, Ponomareva, Svetlana Vladimirovna   +1 more
openaire   +3 more sources

A fractional residue theorem and its applications in calculating real integrals

Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
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

Euler–Lagrange equations for variational problems involving the Riesz–Hilfer fractional derivative

Journal of Taibah University for Science, 2020
In this paper, we obtain the Euler-Lagrange equations for different kind of variational problems with the Lagrangian function containing the Riesz-Hilfer fractional derivative.
A. G. Ibrahim, A. A. Elmandouh
doaj   +1 more source

Hardy-Type Inequalities for an Extension of the Riemann-Liouville Fractional Derivative Operators

In this paper we present variety of Hardy-type inequalities and their refinements for an extension of Riemann-Liouville fractional derivative operators.
Kashuri A., Farid G., Pecaric J., Iqbal S.   +3 more
core   +1 more source

A study of forced oscillations via Hilfer fractional derivative

CQD Revista Eletrônica Paulista de Matemática, 2022
The present study seeks to understand the forced oscillations through modeling via fractional differential equation, using the derivative according to Hilfer and representing the external force as a succession of delta Dirac functions.
Silas de Sá Cavalcanti Melo, Edmundo Capelas de Oliveira   +1 more
doaj