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AppliedMath, Volume 6, Issue 5

2026 May - 18 articles

Cover Story: The equations describing the elastic behavior of shells are generally characterized by a complex mathematical structure. The proposed approach is based on a geometric reinterpretation of shell kinematics, leading to a mechanical model that preserves the structural characteristics of the problem while reducing its mathematical complexity. The resulting formulation leads to ordinary differential equations that, for particular classes of shells, admit closed-form analytical solutions and effective approximate solution strategies. View this paper
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Articles (18)

  • Article
  • Open Access
904 Views
10 Pages

Count outcomes are commonly analyzed using Poisson regression, but empirical data often exhibit overdispersion, excess ties, heaping, or other departures from the Poisson distribution. This paper evaluates a rank-Poisson transformation, denoted poisr...

(This article belongs to the Section Probabilistic & Statistical Mathematics)
  • Article
  • Open Access
1 Citations
610 Views
18 Pages

This paper builds upon a previous study suggesting an optimization procedure for rotation sequences by introducing a fourth factor in Euler-type decompositions, thus allowing for an additional degree of freedom used both as a variational parameter an...

(This article belongs to the Special Issue Applied Mathematical Modelling in Mechanical Design and Analysis)
  • Article
  • Open Access
515 Views
18 Pages

This study develops a stochastic degradation-based reliability framework for mechanical systems subject to interacting operational stresses and imperfect maintenance. The degradation dynamics are formulated in cumulative damage space and modeled usin...

  • Article
  • Open Access
819 Views
23 Pages

New Handy and Accurate Approximation for the Inverse Error Function and Cumulative Distribution Integrals with Applications

  • Mario Alberto Sandoval-Hernandez,
  • Arturo Sarmiento-Reyes,
  • Fernando Ivan Molina-Herrera,
  • Hugo Jimenez-Islas,
  • Uriel Antonio Filobello-Nino,
  • Gerardo Ulises Diaz-Arango,
  • Francisco Marroquin-Gutierrez,
  • Rogelio Alejandro Callejas-Molina,
  • Sandra Ysabel Campos-Dominguez and
  • Hector Vazquez-Leal
  • + 1 author

This paper presents analytical approximations for the inverse error function, its complementary inverse, and the cumulative distribution function using the Power Series Extender Method (PSEM). The proposed expressions exhibit high accuracy over a wid...

(This article belongs to the Section Computational and Numerical Mathematics)
  • Article
  • Open Access
290 Views
21 Pages

Rising temperatures in industrial processes are a serious alert that the system can be shifting from an In Control (InC) to an Out of Control (OutC) state, causing waste, financial losses and, eventually, disaster. Consultation in a case study analyz...

  • Article
  • Open Access
903 Views
25 Pages

A reduced analytical formulation for the linear elastic behavior of axisymmetric shells subjected to axisymmetric load distributions is presented. The mechanical response of the shell is interpreted through the interaction between two families of one...

(This article belongs to the Section Computational and Numerical Mathematics)
  • Article
  • Open Access
597 Views
18 Pages

Heat Transfer in Composite Cylinders Under Harmonically Oscillating Ambient Conditions

  • Rajai S. Alassar,
  • Mohammed Abushoshah,
  • Husain Al-Attas and
  • Said Algarni

An analytical solution is presented for transient heat conduction in a two-layer composite cylinder subjected to outer-surface convection with a general time-dependent ambient temperature. Using Duhamel’s principle, closed-form series expressio...

  • Article
  • Open Access
309 Views
22 Pages

Adversarial perturbations measured by p norms do not reflect key structural constraints in tabular security data, including anisotropic geometry, feature dependence, and distributional plausibility. We introduce a composite attacker cost funct...

(This article belongs to the Section Computational and Numerical Mathematics)
  • Article
  • Open Access
325 Views
11 Pages

Bazilevič mappings are considered very important in the theory of geometric mappings because they provide a way to generalize and study the properties of important classes of univalent mappings. Their importance is not only in the deepening of t...

(This article belongs to the Section Deterministic Mathematics)
  • Article
  • Open Access
811 Views
17 Pages

A warrant is a financial derivative that grants the holder the right to purchase company shares at a predetermined price within a specified period. Generally, upon exercise, the total number of outstanding shares increases because of the issuance of...

(This article belongs to the Section Probabilistic & Statistical Mathematics)
  • Article
  • Open Access
784 Views
14 Pages

Application of Statistical and Machine Learning Models in Vietnam’s Energy Consumption Demand Forecasting

  • Van Thanh Phan,
  • Duc Trien Nguyen,
  • Ngoc Xuan Quynh Nguyen and
  • Xuan Hau Huynh

Energy consumption demand forecasting plays a critical role in the planning and development of national energy security, which underpins the Vietnam’s Eighth National Power Development Plan (PDP VIII) and Vietnam’s ambitious Net-Zero 2050...

(This article belongs to the Special Issue Application of Computational Mathematics and Artificial Intelligence in Numerical Simulations)
  • Article
  • Open Access
744 Views
14 Pages

In this paper, we introduce and systematically study the class of interpolative Geraghty-type contractive mappings within the framework of complete bicomplex-valued metric spaces (bi-CVMS). We prove seven new results: (i) a fixed point theorem for a...

  • Article
  • Open Access
1,496 Views
21 Pages

Architecture of an AI-Driven Optoelectronic ISR UAV System with Operator-Supervised Autonomy

  • Alexandru-Dragoș Adam,
  • Alina Nirvana Popescu and
  • Jair Gonzalez

This paper presents a proposed architecture for an artificial intelligence-driven unmanned aerial vehicle (UAV) system intended for tactical intelligence, surveillance, and reconnaissance (ISR) missions. The architecture brings together electro-optic...

(This article belongs to the Section Computational and Numerical Mathematics)
  • Article
  • Open Access
488 Views
42 Pages

This paper presents a hybrid two-stage implicit scheme for the numerical solution of fractional initial value problems involving Caputo derivatives. The proposed formulation incorporates the nonlinear source term directly into the time-stepping proce...

  • Article
  • Open Access
1 Citations
768 Views
16 Pages

This research presents a fractional-order formulation and mathematical analysis of the Rössler chaotic attractor. By utilizing the Nabla discrete Atangana–Baleanu fractional difference derivative in the Caputo sense, the classical integer-...

  • Article
  • Open Access
561 Views
10 Pages

The problem that this study is concerned with is the ontogenetic growth of humans and animals. The aim of this research is to analyze a model of the ontogenetic growth of animals. The target of the analyses is to show a link between growth and longev...

(This article belongs to the Section Deterministic Mathematics)
  • Article
  • Open Access
654 Views
22 Pages

Crime forecasting in heterogeneous urban contexts remains challenging due to the combined effects of territorial heterogeneity and complex temporal dynamics. However, a large portion of the existing literature tends to address territorial segmentatio...

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AppliedMath - ISSN 2673-9909