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Mathematics, Volume 12, Issue 19

October-1 2024 - 202 articles

Cover Story: We study Mittag–Leffler (ML) fractional integrals involved in the solution processes of a system of coupled fractional stochastic differential equations. We introduce the ML fractional stochastic process as a ML fractional stochastic integral with respect to a standard Brownian motion. We provide some representation formulas of solution processes in terms of Mittag–Leffler fractional integrals and processes. Computable expressions of the mean functions and of the covariances of such processes are specifically given. The application in neuronal modeling is provided, and all involved functions and processes are specifically determined. Numerical evaluations are carried out and some results are shown and discussed. View this paper
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Articles (202)

  • Article
  • Open Access
1,358 Views
25 Pages

9 October 2024

This study investigated non-instantaneous deteriorating items because not all products deteriorate immediately. In the high-tech product life cycle, the product demand increases linearly substantially in the growth stage and maintains a near-constant...

  • Article
  • Open Access
2 Citations
1,501 Views
18 Pages

Spatial–Temporal-Correlation-Constrained Dynamic Graph Convolutional Network for Traffic Flow Forecasting

  • Yajun Ge,
  • Jiannan Wang,
  • Bo Zhang,
  • Fan Peng,
  • Jing Ma,
  • Chenyu Yang,
  • Yue Zhao and
  • Ming Liu

9 October 2024

Accurate traffic flow prediction in road networks is essential for intelligent transportation systems (ITS). Since traffic data are collected from the road network with spatial topological and time series sequences, the traffic flow prediction is reg...

  • Article
  • Open Access
2 Citations
5,286 Views
15 Pages

9 October 2024

The global financial landscape has witnessed a significant shift towards Exchange-Traded Funds (ETFs), with their market capitalization surpassing USD 10 trillion in 2023, due to advantages such as low management fees, high liquidity, and broad marke...

  • Article
  • Open Access
1,347 Views
22 Pages

An Adaptive Chirp Mode Decomposition-Based Method for Modal Identification of Time-Varying Structures

  • Xiao-Jun Yao,
  • Yu-Chun Lv,
  • Xiao-Mei Yang,
  • Feng-Yang Wang and
  • Yong-Xiang Zheng

9 October 2024

Modal parameters are inherent characteristics of civil structures. Due to the effect of environmental factors and ambient loads, the physical and modal characteristics of a structure tend to change over time. Therefore, the effective identification o...

  • Article
  • Open Access
5 Citations
1,948 Views
15 Pages

Intuitionistic Fuzzy Ordinal Priority Approach with Grey Relational Analysis

  • Priyanka Majumder and
  • Valerio Antonio Pamplona Salomon

9 October 2024

Multi-attribute decision-making (MADM) is a methodology for solving decision problems with a finite set of alternatives. The several methods of MADM require weights for the criteria and the alternatives to provide a solution. The Ordinal Priority App...

  • Article
  • Open Access
1,030 Views
20 Pages

9 October 2024

We study Markov operators T, A, and T* of general Markov chains on an arbitrary measurable space. The operator, T, is defined on the Banach space of all bounded measurable functions. The operator A is defined on the Banach space of all bounded counta...

  • Article
  • Open Access
3 Citations
1,119 Views
21 Pages

9 October 2024

With the rapid growth of social media and live-streaming technology, live-stream selling has become integral to the digital economy. Using differential game theory, this paper examines how fairness concerns impact the profits of internet celebrities...

  • Article
  • Open Access
3 Citations
2,875 Views
16 Pages

Out-of-Distribution Detection with Memory-Augmented Variational Autoencoder

  • Faezeh Ataeiasad,
  • David Elizondo,
  • Saúl Calderón Ramírez,
  • Sarah Greenfield and
  • Lipika Deka

9 October 2024

This paper proposes a novel method capable of both detecting OOD data and generating in-distribution data samples. To achieve this, a VAE model is adopted and augmented with a memory module, providing capacities for identifying OOD data and synthesis...

  • Article
  • Open Access
1,385 Views
22 Pages

Systematic Analysis of Packaging Production in the Electric Motors Industry: A Multi-Criteria Approach through the SAPEVO-M Method

  • Carlos Eduardo Loterio Matos,
  • Miguel Ângelo Lellis Moreira,
  • Maria Teresa Ribeiro Pereira,
  • Carlos Francisco Simões Gomes,
  • Marcos dos Santos and
  • Francisco J. G. Silva

9 October 2024

Market competitiveness drives the electric motors industry, which in turn necessitates the selection of optimal production scenarios, particularly in the context of packaging. This is crucial for maintaining competitiveness and meeting the rigorous q...

  • Article
  • Open Access
1,235 Views
17 Pages

Periodic and Quasi-Periodic Orbits in the Collinear Four-Body Problem: A Variational Analysis

  • Abdalla Mansur,
  • Muhammad Shoaib,
  • Iharka Szücs-Csillik,
  • Daniel Offin,
  • Jack Brimberg and
  • Hedia Fgaier

9 October 2024

This paper investigated the periodic and quasi-periodic orbits in the symmetric collinear four-body problem through a variational approach. We analyze the conditions under which homographic solutions minimize the action functional. We compute the min...

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Mathematics - ISSN 2227-7390Creative Common CC BY license