Results 11 to 20 of about 29,410 (152)

Exponential Stability of Higher Order Fractional Neutral Stochastic Differential Equation Via Integral Contractors

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6425-6446, April 2025.
ABSTRACT The well‐posedness results for mild solutions to the fractional neutral stochastic differential system with Rosenblatt process with Hurst index Ĥ∈12,1$$ \hat{H}\in \left(\frac{1}{2},1\right) $$ is discussed in this article. To demonstrate the results, the concept of bounded integral contractors is combined with the stochastic result and ...
Dimplekumar N. Chalishajar, Dhanalakshmi Kasinathan, Ramkumar Kasinathan, Ravikumar Kasinathan   +3 more
wiley   +1 more source

The Fourier transform of the non-trivial zeros of the zeta function

, 2017
The non-trivial zeros of the Riemann zeta function and the prime numbers can be plotted by a modified von Mangoldt function. The series of non-trivial zeta zeros and prime numbers can be given explicitly by superposition of harmonic waves.
Csoka, Levente
core   +1 more source

A Note on the Existence and Optimal Control of Atangana–Baleanu Fractional Stochastic Integrodifferential System With Noninstantaneous Impulses

Optimal Control Applications and Methods, EarlyView.
Optimal Control of AB Caputo Fractional Stochastic Integrodifferential Control System with Noninstantaneous Impulses. ABSTRACT This study is concerned with the existence of mild solution and optimal control for the Atangana–Baleanu fractional stochastic integrodifferential system with noninstantaneous impulses in Hilbert spaces. We verify the existence
Murugesan Johnson, Velusamy Vijayakumar, Kiwoon Kwon   +2 more
wiley   +1 more source

Optimal Control Strategies and Continuous Dependence for Stochastic Hilfer Fractional Systems With Delay: A Volterra‐Fredholm Integro‐Differential Approach

Optimal Control Applications and Methods, EarlyView.
The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja, V. Vijayakumar, Chun‐Wei Tsai, Kalyana Chakravarthy Veluvolu   +3 more
wiley   +1 more source

An investigation of the non-trivial zeros of the Riemann zeta function

, 2020
The zeros of the Riemann zeta function outside the critical strip are the so-called trivial zeros. While many zeros of the Riemann zeta function are located on the critical line $\Re(s)=1/2$, the non-existence of zeros in the remaining part of the ...
Heymann, Yuri
core  

Physicochemical Necessary and Sufficient Conditions for Superferromagnetism in High‐Resolution Magnetic Particle Imaging

Small, EarlyView.
This study investigates how strong dipole–dipole coupling in linear chains of synthesized superparamagnetic nanoparticles induces superferromagnetism, enhancing Magnetic Particle Imaging (MPI) resolution. A positive feedback model predicts key magnetic behaviors, such as coercivity, and guides nanoparticle synthesis.
Chinmoy Saayujya, Benjamin Fellows, Yifeng Shi, Ruhani Sagar, Benjamin G. Cary, Jacob Bryan, Cherilyn Yu, Melissa Kim, Allison Hartley, Quincy Huynh, Prashant Chandrasekharan, Zhi Wei Tay, Michael F. Wendland, Steven M. Conolly   +13 more
wiley   +1 more source

Hierarchy of the Selberg zeta functions

, 2004
We introduce a Selberg type zeta function of two variables which interpolates several higher Selberg zeta functions. The analytic continuation, the functional equation and the determinant expression of this function via the Laplacian on a Riemann surface
E. D’Hoker, E. W. Barnes, K. Kimoto, M. Jimbo, M. Lerch, Masato Wakayama, N. Kurokawa, N. Kurokawa, P. Cartier, P. Sarnak, S. Koyama, Y. Gon, Yasufumi Hashimoto   +12 more
core   +2 more sources

Vortex Ratchet Effect in a NbC Strip With a Periodic Edge Indentation

Small Methods, EarlyView.
The image shows the nanoprinting of a superconducting nanostructure using focused ion beam induced deposition (top left), overlaid with numerically simulated patterns of current and magnetic flux quanta (bottom). An edge indentation breaks spatial symmetry, modifying the current density distribution and inducing nonreciprocal magnetic flux dynamics the
F. Porrati, A. O. Pokusinskyi, S. Barth, M. Huth, O. V. Dobrovolskiy   +4 more
wiley   +1 more source

Riemann zeta function and quantum chaos

, 2007
A brief review of recent developments in the theory of the Riemann zeta function inspired by ideas and methods of quantum chaos is given.Comment: Lecture given at International Conference on Quantum Mechanics and Chaos, Osaka, September ...
Bogomolny, Eugene
core   +2 more sources

Cointegrating Polynomial Regressions With Power Law Trends

Journal of Time Series Analysis, EarlyView.
ABSTRACT The common practice in cointegrating polynomial regressions (CPRs) often confines nonlinearities in the variable of interest to stochastic trends, thereby overlooking the possibility that they may be caused by deterministic components. As an extension, we propose univariate and multivariate CPRs that incorporate power law deterministic trends.
Yicong Lin, Hanno Reuvers
wiley   +1 more source