Hilfer-Prabhakar Derivatives and Some Applications
We present a generalization of Hilfer derivatives in which Riemann--Liouville integrals are replaced by more general Prabhakar integrals. We analyze and discuss its properties.
Garra, Roberto +3 more
core +1 more source
Fostering Innovation: Streamlining Magnetocaloric Materials Research by Digitalization
Magnetocaloric cooling (MCE) is an environmentally friendly refrigeration method with great potential. Optimizing MCE materials involves the preparation and screening of large quantities of samples, which in turn generates a large amount of data. A digitalization approach is presented that uses ontologies, knowledge graphs, and digital workflows to ...
Simon Bekemeier +17 more
wiley +1 more source
The random Wigner distribution of Gaussian stochastic processes with covariance in S0(ℝ2d)
The paper treats time-frequency analysis of scalar-valued zero mean Gaussian stochastic processes on ℝd. We prove that if the covariance function belongs to the Feichtinger algebra S0(ℝ2d) then: (i) the Wigner distribution and the ambiguity function of ...
Patrik Wahlberg
doaj +1 more source
The Moments for Some Hyperbolic Stochastic Differential Equations [PDF]
This paper investigates moments for Ito's integral formula involving general form of hyperbolic stochastic functions, hyperbolic stochastic functions, which combine the deterministic structure of hyperbolic functions with stochastic elements such as ...
Noor Ramadan Mutter +1 more
doaj +1 more source
In this review article we collected more than ten theorems on expansions of iterated Ito and Stratonovich stochastic integrals, which have been formulated and proved by the author.
Kuznetsov, Dmitriy F.
core
Characteristic Function of Time-Inhomogeneous L\'evy-Driven Ornstein-Uhlenbeck Processes
Distributional properties -including Laplace transforms- of integrals of Markov processes received a lot of attention in the literature. In this paper, we complete existing results in several ways.
Vrins, Frédéric
core +1 more source
Bioinspired Shape‐Memory Hook Fasteners With Programmable Interlocking and Silent Release
Bioinspired hook fasteners made from epoxy shape‐memory polymers are shown to switch between strong, secure attachment and gentle, silent release when heated. By combining programmable geometry and material response, these adaptive fasteners outperform commercial systems in strength and noise control, enabling new solutions for robotics, medical ...
Maria I. Vallejo Ciro +3 more
wiley +1 more source
On Fractional Hermite–Hadamard-Type Inequalities for Harmonically s-Convex Stochastic Processes
In this paper, we investigate Hermite–Hadamard-type inequalities for harmonically s-convex stochastic processes via Riemann–Liouville fractional integrals. We begin by introducing the notion of harmonically s-convex stochastic processes. Subsequently, we
Rabab Alzahrani +3 more
doaj +1 more source
An Averaging Principle for Stochastic Differential Delay Equations with Fractional Brownian Motion
An averaging principle for a class of stochastic differential delay equations (SDDEs) driven by fractional Brownian motion (fBm) with Hurst parameter in (1/2,1) is considered, where stochastic integration is convolved as the path integrals. The solutions
Yong Xu, Bin Pei, Yongge Li
doaj +1 more source
Stochastic Electrodynamics: Lessons from Regularizing the Harmonic Oscillator
In this paper, the harmonic oscillator problem in Stochastic Electrodynamics is revisited. Using the exact shape of the Lorentz damping term prevents run-away effects.
Theodorus Maria Nieuwenhuizen
doaj +1 more source

