Article
Mathematics
Mi Zhou, Naeem Saleem, Xiaolan Liu, Andreea Fulga, Antonio Francisco Roldan Lopez de Hierro
Summary: This study introduces a new family of fuzzy contractions based on Proinov-type contractions, with very weak constraints on the auxiliary functions, proving the existence and uniqueness of fixed points and addressing some open problems.
Article
Mathematics
Hamid Gharib, Mohammad B. Moghimi, Abbas Najati, Jae-Hyeong Bae
Summary: This paper investigates the asymptotic stability behavior of the Pexider-Cauchy functional equation in non-Archimedean spaces, and shows that under certain conditions, f, g, and h can be approximated by additive mapping in non-Archimedean normed spaces. Additionally, it deals with a functional inequality and its asymptotic behavior.
Article
Mathematics, Applied
Lorenzo Fiaschi, Marco Cococcioni
Summary: This paper theoretically extends the Pure and Impure Prisoner's Dilemmas using the Grossone Methodology, and conducts numerical simulations using a Matlab simulator of the Infinity Computer. The effectiveness of the methodology is demonstrated in addressing complex problems and potentially performing computations in hardware, offering a new approach to model real-world scenarios.
APPLIED MATHEMATICS AND COMPUTATION
(2021)
Article
Mathematics, Applied
Haixu Wang, Hang Liu, Guoping Tang
Summary: In this study, we construct independent elements in the kernel of the tame symbol on families of curves with various genera. We also prove the existence of non-torsion divisors in the divisorial support of these elements, which is potentially different from previous constructions.
JOURNAL OF PURE AND APPLIED ALGEBRA
(2022)
Article
Computer Science, Interdisciplinary Applications
Luigi De Cesare, Mario Sportelli
Summary: This paper revisits Kalecki's business cycle theory, focusing on the gestation period between orders and deliveries of capital goods. By analyzing the stability switch and Hopf bifurcation in the delay differential equation, the study provides insights into the dynamics of the model.
MATHEMATICS AND COMPUTERS IN SIMULATION
(2022)
Review
Chemistry, Physical
Sophia E. Lee, Oliver C. Harris, Tana Siboonruang, Maureen Tang
Summary: Complex side reactions in modern Li-ion batteries drive capacity fade and require a framework based on reaction engineering principles to understand. Quantifying reaction selectivity and parameters can guide materials design and improve lifetime prediction, highlighting the importance of studying battery side reactions in optimized reactors for analytics.
Article
Mathematics
Iz-iddine EL-Fassi, Elhoucien Elqorachi, Hamid Khodaei
Summary: In this work, a simple fixed point theorem in non-Archimedean (n, beta)-Banach spaces is proved and applied to studying the stability and hyperstability of the kth radical-type functional equation. Some important consequences are also derived from the main results.
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
(2021)
Article
Physics, Mathematical
Ilaria Svampa, Stefano Mancini, Andreas Winter
Summary: This study introduces the concept of p-adic quantum bit (p-qubit) in the context of p-adic quantum mechanics and proposes a program to classify its continuous unitary projective representations.
JOURNAL OF MATHEMATICAL PHYSICS
(2022)
Article
Economics
Xinsheng Cui, Longfei Guo, Yuanyue Bian
Summary: Improving business environments has a positive effect on trade openness, and countries with lower development levels benefit more from the improvement. Enhancing business environments is crucial for promoting trade openness in developing countries.
Article
Mathematics
Kandhasamy Tamilvanan, Ali H. Alkhaldi, Ravi P. Agarwal, Abdulaziz M. Alanazi
Summary: This paper introduces a new type of generalized mixed-type quadratic-additive functional equation and obtains its general solution. The main goal of this work is to investigate Ulam stability of this mixed type of quadratic-additive functional equation in the setting of non-Archimedean fuzzy phi-2-normed space and non-Archimedean Banach space using the direct and fixed point approaches, considering two cases: even mapping and odd mapping.
Article
Mathematics
Robert J. Berman
Summary: In this research, a new quantitative bound on the partition function is obtained, which plays a key role in the probabilistic construction of Kahler-Einstein metrics on a complex projective algebraic manifold X involving random point processes on X. This result leads to a new direct analytic proof that X admits a Kahler-Einstein metrics if it is uniformly Gibbs stable, and it also connects with the quantization approach to Kahler-Einstein geometry.
MATHEMATISCHE ANNALEN
(2023)
Article
Mathematics
Ravinder Kumar Sharma, Sumit Chandok
Summary: In this study, we use the alternative fixed-point approach and the direct method to examine the generalized Hyers-Ulam stability of a quartic functional equation in the context of (beta, p)-Banach space. We also verify the Hyers-Ulam stability for the quartic functional equation in non-Archimedean beta-normed space. Our findings improve and generalize many of the previous findings in the literature.
JOURNAL OF MATHEMATICS
(2022)
Article
Automation & Control Systems
Dongdong Zhao, Yang Hu, Weiguo Sun, Xingwen Zhou, Li Xu, Shi Yan
Summary: This paper proposes a novel approach to generate a state-space model with low inner dimension for an MIMO non-commensurate fractional order system. The concept of an admissible digraph associated with a fractional order transfer vector is introduced. New state-space model realization conditions and procedures based on this admissible digraph are proposed for the state-space model realization of an NCFO polynomial transfer matrix. A new necessary and sufficient state-space model realization condition is also proposed for the rational transfer matrix of an MIMO NCFO system.
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS
(2022)
Review
Chemistry, Multidisciplinary
Maria Chiara Storer, Christopher A. A. Hunter
Summary: This review presents the Surface Site Interaction Point (SSIP) approach for describing non-covalent interactions between molecules. It focuses on the empirical non-covalent interaction parameters alpha and beta, and provides rules of thumb for estimating free energy changes. The review also introduces a computational approach using the Molecular Electrostatic Potential (MEP) surface to obtain SSIPs and predicts thermodynamic properties. This method is simple, accurate, and applicable in complex molecular systems without computationally expensive simulations.
CHEMICAL SOCIETY REVIEWS
(2022)
Article
Economics
Mohammad Motalleb Nejad, Sevgi Erdogan, Cinzia Cirillo
Summary: Evacuation plans often overlook low-income carless residents, leaving them stranded in emergencies. To improve emergency planning, identifying and locating these disadvantaged populations is crucial to providing necessary services and facilities.
JOURNAL OF TRANSPORT GEOGRAPHY
(2021)