Results 51 to 60 of about 7,475 (192)
Sequential Detection of Three-Dimensional Signals under Dependent Noise
, 2017 We study detection methods for multivariable signals under dependent noise. The main focus is on three-dimensional signals, i.e. on signals in the space-time domain. Examples for such signals are multifaceted. They include geographic and climatic data as
Prause, Annabel, Steland, Ansgar
core +1 more source
On the fractional Laplacian of a function with respect to another function
Mathematical Methods in the Applied Sciences, Volume 47, Issue 18, Page 14079-14110, December 2024.The theories of fractional Laplacians and of fractional calculus with respect to functions are combined to produce, for the first time, the concept of a fractional Laplacian with respect to a bijective function. The theory is developed both in the 1‐dimensional setting and in the general n$$ n $$‐dimensional setting.
Arran Fernandez +2 more
wiley +1 more source
Advances in Difference Equations, 2018 This paper studies a system of fractional differential equations with Riemann–Stieltjes integral conditions. The existence and uniqueness of nontrivial solutions to the above system are established under some weaker conditions by the Leray–Schauder ...
Bingmei Liu +3 more
doaj +1 more source
Welding defect detection with image processing on a custom small dataset: A comparative study
IET Collaborative Intelligent Manufacturing, Volume 6, Issue 4, December 2024.This work focuses on detecting defects in welding seams using the most advanced You Only Look Once (YOLO) algorithms and transfer learning. To this end, the authors prepared a small dataset of images using manual welding and compared the performance of the YOLO v5, v6, v7, and v8 methods after two‐step training.
József Szőlősi +5 more
wiley +1 more source
Mathematical Methods in the Applied Sciences, Volume 47, Issue 12, Page 9493-9523, August 2024.This paper deals with the probabilistic analysis of a class of compartmental models formulated via a system of linear differential equations with time‐dependent non‐homogeneous terms. For the sake of generality, we assume that initial conditions and rates between compartments are random variables with arbitrary distributions while the source terms ...
Vicente J. Bevia +3 more
wiley +1 more source
Discrete Dynamics in Nature and Society, 2018 This paper is concerned with the existence and multiplicity of the positive solutions for a fractional boundary value problem with multistrip Riemann–Stieltjes integral boundary conditions.
Tongling Lv, Huihui Pang, Limei Cao
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AIMS Mathematics, 2020 In this article, we study a class of p-Laplacian fractional differential boundary value problem involving Riemann-Stieltjes integral. By two fixed point theorems of a sum operator in partial ordering Banach spaces, we get the existence and uniqueness of ...
Chengbo Zhai, Yuanyuan Ma, Hongyu Li
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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 104, Issue 7, July 2024.Abstract We consider a rate‐independent system with nonconvex energy under discontinuous external loading. The underlying space is finite‐dimensional and the loads are functions in BV([0,T];Rd)$BV([0,T];\mathbb {R}^d)$. We investigate the stability of various solution concepts w.r.t.
Merlin Andreia, Christian Meyer
wiley +1 more source
A Formal Proof Of The Riesz Representation Theorem
Journal of Formalized Reasoning, 2011 This paper presents a formal proof of the Riesz representation theorem in the PVS theorem prover. The Riemann Stieltjes integral was defined in PVS, and the theorem relies on this integral.
Anthony Narkawicz
doaj
Fractional integrals, derivatives and integral equations with weighted Takagi–Landsberg functions
Nonlinear Analysis, 2020 In this paper, we find fractional Riemann–Liouville derivatives for the Takagi–Landsberg functions. Moreover, we introduce their generalizations called weighted Takagi–Landsberg functions, which have arbitrary bounded coefficients in the expansion under ...
Vitalii Makogin, Yuliya Mishura
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