Publication Frequency
Semi-annual
Journal Articles
Search
Search scope
Volume Arrangement
2023
Featured Articles
If general relativity is correct, then the origin of the universe is a simple mathematical problem. The Friedmann equation in cosmology is a well-structured ordinary differential equation, and the global properties of its solutions can be qualitatively analyzed by the phase-trajectory method. In this paper we show that the total energy density of matter in the universe is positive, and the total pressure near the Big Bang is negative. By analyzing the global properties of the solutions to the Friedmann equation according to these two conditions of state functions, we find that the Big Bang is impossible, and the space must be a closed 3-dimensional sphere, the cosmological constant is likely to be zero, and the evolution of the universe should be cyclic. The analysis and the proof are simple and straight forward, therefore these conclusions should be reliable.
Fermat’s last theorem appears not as a unique property of natural numbers but as the bottom line of extended possible issues involving larger dimensions and powers when observed from a natural vector space viewpoint. The fabric of this general Fermat’s theorem structure consists of a well-defined set of vectors associated with dimensional vector spaces and the Minkowski norms one can define there. Here, a special vector set is studied and named a Fermat surface. Besides, a connection between Fermat surfaces and hypercubes is unveiled.
by
Ramon Carbó-Dorca, Debraj Nath
Math. Syst. Sci.
2024
,
2(1);
656 Views
Received: 12 January 2024; Accepted: 18 February 2024; Available online: 27 February 2024;
Issue release: 30 June 2024
Issue release: 30 June 2024
Abstract
Fermat’s last theorem appears not as a unique property of natural numbers but as the bottom line of extended possible issues involving larger dimensions and powers when observed from a natural vector space viewpoint. The fabric of this general Fermat’s theorem structure consists of a well-defined set of vectors associated with dimensional vector spaces and the Minkowski norms one can define there. Here, a special vector set is studied and named a Fermat surface. Besides, a connection between Fermat surfaces and hypercubes is unveiled.
show more
by
Joachim Moussounda Mouanda
Math. Syst. Sci.
2024
,
2(1);
706 Views
Received: 23 January 2024; Accepted: 19 April 2024; Available online: 28 April 2024;
Issue release: 30 June 2024
Issue release: 30 June 2024
Abstract
We construct the galaxies of sequences of Toeplitz matrix solutions of the Diophantine equation X n + Y n = Z n , n ≥ 3, linked to Pythagorean triples.
show more
by
Isaac Azure
Math. Syst. Sci.
2024
,
2(1);
590 Views
Received: 25 March 2024; Accepted: 13 May 2024; Available online: 31 May 2024;
Issue release: 30 June 2024
Issue release: 30 June 2024
Abstract
The paper introduces an iterative method for solving nonlinear Volterra integral equations and analyzes its convergence, stability, and application through examples. It expresses the general nonlinear Volterra integral equation as a series and decomposes the nonlinear operator to derive a recursive formula for the proposed iterative method. The method ensures absolute and uniform convergence, with stability analysis conducted to ensure bounded errors in the presence of perturbations. Convergence analysis utilizes the Lipschitz condition, demonstrating the uniform convergence of the solution series. Illustrative examples, including power nonlinearity and trigonometric functions, validate the stability and convergence of the method. Through graphical representations, convergence analyses for specific integral equations demonstrate the method’s effectiveness and applicability in solving diverse nonlinear integral equations. Overall, the paper contributes a robust iterative method with insights into its stability and convergence properties, supported by practical examples.
show more
by
S.M. Sayed, A.S. Mohamed, E.M. Abo-Eldahab, Y.H. Youssri
Math. Syst. Sci.
2024
,
2(1);
695 Views
Received: 20 May 2024; Accepted: 4 June 2024; Available online: 15 June 2024;
Issue release: 30 June 2024
Issue release: 30 June 2024
Abstract
Herein, we provide an efficient spectral Galerkin algorithm, according to a special type of shifted Legendre basis for finding a semi-analytic solution to the Liouville-Caputo fractional boundary value problem. The algorithm’s main goal is to transform the fractional differential problem into a linear system with efficiently invertible, well-structured matrices. The convergence rates of the algorithm are carefully obtained as well as the error bound.
show more
by
Yanrui Su, Yanjiao Song, Chenyi Liu
Math. Syst. Sci.
2024
,
2(1);
659 Views
Received: 29 May 2024; Accepted: 22 June 2024; Available online: 30 June 2024;
Issue release: 30 June 2024
Issue release: 30 June 2024
Abstract
Uncertain events frequently occur in today’s financial markets. Consequently, the issue of portfolio selection is becoming increasingly significant. This paper thoroughly considers the complexities of stock returns in real-world scenarios and employs uncertain differential equations (UDE), uncertain time series analysis (UTSA), stochastic differential equations (SDE), and random time series analysis (RTSA) to predict stock returns, thereby enhancing the accuracy of these predictions. Furthermore, this paper addresses investors’ preferences and the limitations of using variance as a measure of investment risk. It introduces a risk preference factor and proposes an uncertain random mean-lower variance model. Finally, a genetic algorithm is utilized to solve the model, and numerical simulations are conducted to demonstrate the model’s practicality.
show more
by
Ranjita Guglani, Ashu Bahl, Rajni Sharma
Math. Syst. Sci.
2024
,
2(1);
0 Views
Received: 16 May 2024; Accepted: 8 June 2024; Available online: 15 June 2024;
Issue release: vol 2, No 1
Issue release: vol 2, No 1
Abstract
This contribution presents a highly efficient three-step iterative scheme. The proposed scheme is different in itself by achieving seventh-order convergence. The scheme is very useful for equations of nonlinear nature having multiple roots. The Taylor series expansion is employed to rigorously analyze the convergence of the presented scheme. That the scheme is effective and robust can be fit through a variety of examples from different fields. Numerical experimentation demonstrates the scheme’s rapid and reliable convergence to the true root and comparing its performance against existing techniques in the literature. Additionally, basins of attraction are visualized to offer a clear, comparative view of how different methods perform with varying initial guesses. The results show that this new scheme consistently compete well over other methods. This makes it a powerful tool for solving complex equations.
show more
by
Arif Rafiq
Math. Syst. Sci.
2024
,
2(1);
622 Views
Received: 29 May 2024; Accepted: 20 June 2024; Available online: 27 June 2024;
Issue release: 30 June 2024
Issue release: 30 June 2024
Abstract
This note reviews the iterative methods introduced in “Stability and Data De- pendence Results for Jungck-Type Iteration Scheme”. It has been observed that these methods are not entirely new to a significant extent, as they bear resemblance to pre- viously established approaches. Additionally, the primary iterative method proposed in the paper lacks efficiency, particularly when compared to more advanced or well- known methods. As a result, while the methods may offer some value, they do not represent a significant breakthrough in iterative techniques.
show more
by
Harald Reiss
Math. Syst. Sci.
2024
,
2(1);
662 Views
Received: 23 January 2024; Accepted: 4 March 2024; Available online: 30 March 2024;
Issue release: 30 June 2024
Issue release: 30 June 2024
Abstract
This paper summarizes results recently obtained from simulation of transient temperature excursions in filamentary and thin film superconductors. Under multi-component heat transfer in the complicated conductor cross sections and materials composition of present High Temperature Superconductors, numerical, Finite Element and Monte Carlo simulations are applied to solve Fourier’s differential equation with high spatial and temporal resolution. The overall aim was to encircle the quench problem in superconductors and to provide new stability criteria from correlations between superconductor critical current density, density of electron pairs, and relaxation time and entropy. Relaxation, correlation and entropy analysis presented in this paper extends the spectrum of standard methods to avoid quench to a new tool. As results, quench starts always locally, and as a highlight of this investigation, a second “critical” temperature, T Quench , has been identified that with high probability exists below standard critical temperature. Entropy is the driving force for relaxation of the superconductor to new equilibrium after a disturbance.
show more
Editor-in-Chief
Prof. Youssri Hassan Youssri
Cairo University, Egypt
Processing Speed (2023)
-
-
- <7 days: submission to screening review decision
- 53 days: received to accepted
- 68 days: received to online
-
News & Announcements
2024-09-20
Highly Read Article Recommendation
Since the journal launch in 2023, we have been proud to publish a plethora of insightful findings in the realms of mathematics and systems science....
2024-07-10
Meeting our Editor-in-Chief and Associate Editor
It is with great pride that we introduce Prof. Youssri Hassan Youssri and Prof. Ali Akgül, who are the Editor-in-Chief and Associate Editor of our esteemed journal.
2024-01-05
Articles in the First Issue of Volume 1 - Now Available Online
We are delighted to announce that the articles in the first issue of Volume 1 of Mathematics and Systems Science is now live and accessible online.
Member Application
Journal Center
Asia Pacific Academy of Science Pte. Ltd. (APACSCI) specializes in international journal publishing. APACSCI adopts the open access publishing model and provides an important communication bridge for academic groups whose interest fields include engineering, technology, medicine, computer, mathematics, agriculture and forestry, and environment.