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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
5,458 Views
23 Pages

8 October 2024

This study examines how telematics variables such as annual percentage driven, total miles driven, and driving patterns influence the distributional behaviour of conventional rating factors when incorporated into predictive models for capturing auto...

  • Article
  • Open Access
5 Citations
3,742 Views
11 Pages

8 October 2024

This study focuses on the neural machine translation task for the TR-EN language pair, which is considered a low-resource language pair. We investigated fine-tuning strategies for pre-trained language models. Specifically, we explored the effectivene...

  • Article
  • Open Access
1 Citations
1,357 Views
35 Pages

Fuzzy Linear Temporal Logic with Quality Constraints

  • Xianfeng Yu,
  • Yongming Li and
  • Shengling Geng

8 October 2024

As an extension of quantitative temporal logic, uncertain temporal logic essentially describes the temporal behavior of uncertain and incomplete systems, thus better solving search and decision-making problems in such systems. Fuzzy linear temporal l...

  • Article
  • Open Access
1,490 Views
17 Pages

8 October 2024

The threat of quantum computing has spurred research into post-quantum cryptography. SQIsign, a candidate submitted to the standardization process of the National Institute of Standards and Technology, is emerging as a promising isogeny-based signatu...

  • Article
  • Open Access
3 Citations
1,625 Views
19 Pages

8 October 2024

This work aims to analyze the effects of the main process parameters of fused filament fabrication (FFF) on the mechanical properties and part weight of 3D-printed thermoplastic polyurethane (TPU). Raster angle (RA), infill percentage (IP), and extru...

  • Article
  • Open Access
2 Citations
1,584 Views
16 Pages

8 October 2024

Traditional portfolio construction primarily revolves around a bi-objective approach, focusing on minimizing portfolio variance while maximizing expected returns. However, this approach leaves out other objectives that could interest decision makers....

  • Article
  • Open Access
5 Citations
3,284 Views
18 Pages

Joint Approach for Vehicle Routing Problems Based on Genetic Algorithm and Graph Convolutional Network

  • Dingding Qi,
  • Yingjun Zhao,
  • Zhengjun Wang,
  • Wei Wang,
  • Li Pi and
  • Longyue Li

8 October 2024

The logistics demands of industries represented by e-commerce have experienced explosive growth in recent years. Vehicle path-planning plays a crucial role in optimization systems for logistics and distribution. A path-planning scheme suitable for an...

  • Article
  • Open Access
2 Citations
2,074 Views
21 Pages

8 October 2024

The market share of electric vehicles (EVs) is growing rapidly. However, given the huge demand for parking and charging of electric vehicles, supporting facilities generally have problems such as insufficient quantity, low utilization efficiency, and...

  • Article
  • Open Access
2 Citations
1,189 Views
17 Pages

8 October 2024

This article aims to provide an accurate mathematical model with the minimum number of degrees of freedom for describing the floating sleeper phenomenon. This was accomplished using mathematical modeling supported by extensive field measurements of t...

  • Article
  • Open Access
1 Citations
2,126 Views
19 Pages

8 October 2024

Large Language Models (LLMs) excel in fields such as natural language understanding, generation, complex reasoning, and biomedicine. With advancements in materials science, traditional manual annotation methods for phase diagrams have become inadequa...

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Mathematics - ISSN 2227-7390Creative Common CC BY license