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Axioms, Volume 14, Issue 6

June 2025 - 86 articles

Cover Story: Extrapolation of the asymptotic series with a cost functional imposed on iterated Borel summation is considered in the following study. The cost functionals are inspired by a martingale. The penalty term penalizes the solution to optimization with a fractional number of iterations for deviations of the expected value from the results of a discrete iterated Borel summation. The solution to the extrapolation problem is accurate, robust, and unique. View this paper
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Articles (86)

  • Article
  • Open Access
689 Views
13 Pages

19 June 2025

In this paper, we design an operator A restricted to a weighted pluriharmonic Bergman space bμ2(Ω) over the Reinhardt domains, with an isometric isomorphism between bμ2(Ω) and the subset of l2(Zn). Furthermo...

  • Article
  • Open Access
442 Views
24 Pages

19 June 2025

The purpose of this article is to analyze a hybrid-type iterative algorithm for a class of generalized non-expansive mappings satisfying the Garcia-Falset property in uniformly convex Banach spaces. Some existing results for such mappings have been o...

  • Article
  • Open Access
1 Citations
489 Views
10 Pages

Abundant Exact Traveling-Wave Solutions for Stochastic Graphene Sheets Model

  • Wael W. Mohammed,
  • Taher S. Hassan,
  • Rabeb Sidaoui,
  • Hijyah Alshammary and
  • Mohamed S. Algolam

19 June 2025

Here, we consider the stochastic graphene sheets model (SGSM) forced by multiplicative noise in the Itô sense. We show that the exact solution of the SGSM may be obtained by solving some deterministic counterparts of the graphene sheets model a...

  • Article
  • Open Access
582 Views
19 Pages

A Bayesian Approach to Step-Stress Partially Accelerated Life Testing for a Novel Lifetime Distribution

  • Mervat K. Abd Elaal,
  • Hebatalla H. Mohammad,
  • Zakiah I. Kalantan,
  • Abeer A. EL-Helbawy,
  • Gannat R. AL-Dayian,
  • Sara M. Behairy and
  • Reda M. Refaey

19 June 2025

In lifetime testing, the failure times of highly reliable products under normal usage conditions are often impractically long, making direct reliability assessment impractical. To overcome this, step-stress partially accelerated life testing is emplo...

  • Article
  • Open Access
584 Views
19 Pages

On the Existence of (p,q)-Solutions for the Post-Quantum Langevin Equation: A Fixed-Point-Based Approach

  • Mohammed Jasim Mohammed,
  • Ali Ghafarpanah,
  • Sina Etemad,
  • Sotiris K. Ntouyas and
  • Jessada Tariboon

19 June 2025

The two-parameter (p,q)-operators are a new family of operators in calculus that have shown their capabilities in modeling various systems in recent years. Following this path, in this paper, we present a new construction of the Langevin equation usi...

  • Article
  • Open Access
4 Citations
894 Views
24 Pages

19 June 2025

This study presents high-fidelity numerical simulations of the shock-accelerated single-mode Richtmyer–Meshkov instability (RMI) in a light helium layer confined between two interfaces and surrounded by nitrogen gas. A high-order modal disconti...

  • Feature Paper
  • Article
  • Open Access
555 Views
15 Pages

17 June 2025

In this paper, we obtain approximation theorems of classes of analytic functions by shifts L(λ,α,s+iτ) of the Lerch zeta-function for τ∈[T,T+H] where H∈[T27/82,T1/2]. The cases of all parameters, λ,α∈(...

  • Article
  • Open Access
535 Views
15 Pages

16 June 2025

This paper is concerned with the asymptotical behavior of the impulsive linearly implicit Euler method for the SIR epidemic model with nonlinear incidence rates and proportional impulsive vaccination. We point out the solution of the impulsive linear...

  • Article
  • Open Access
802 Views
19 Pages

Cloud Platform Selection Using Extended Multi-Attribute Decision-Making Methods with Interval Type-2 Fuzzy Sets

  • Ivana Spasenić,
  • Danijela Tadić,
  • Milan Čabarkapa,
  • Dragan Marinković and
  • Nikola Komatina

16 June 2025

The selection of an appropriate cloud platform represents a highly important strategic decision for any IT company. In pursuit of business optimization, cost reduction, improved reliability, and enhanced market competitiveness, selecting the most sui...

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Axioms - ISSN 2075-1680