PSR Press – Mission Statement

Ptolemy Scientific Research Press (PSR Press) is a highly regarded publisher of scientific literature dedicated to bringing the latest research and findings to a broader audience. With a focus on cutting-edge research and technology, Ptolemy Scientific Research Press offers a range of publications catering to professionals, researchers, and student’s needs. Whether looking for information on the latest breakthroughs in physics, biology, engineering, or computer science, you can trust Ptolemy Scientific Research Press to deliver insightful, accurate, and engaging content. With its commitment to quality, accessibility, and innovation, Ptolemy Scientific Research Press is an essential resource for anyone interested in science and technology.

Open Journal of Mathematical Science (OMS)

ISSN: 2523-0212 (online) 2616-4906 (Print)

Open Journal of Mathematical Analysis (OMA)

ISSN: 2616-8111 (online) 2616-8103 (Print)

Open Journal of Discrete Applied Mathematics (ODAM)

ISSN: 2617-9687 (online) 2617-9679 (Print)

Ptolemy Journal of Chemistry (PJC)

ISSN: 2618-0758 (online) 2618-074X (Print)

Engineering and Applied Science Letters (EASL)

ISSN: 2617-9709 (online) 2617-9695 (Print)

Trends in Clinical and Medical Sciences (TCMS)

ISSN: 2791-0814 (online) 2791-0806 (Print)

Our Journals

Open Journal of Mathematical Science (OMS)

ISSN: 2523-0212 (online) 2616-4906 (Print)

Open Journal of Mathematical Analysis (OMA)

ISSN: 2616-8111 (online) 2616-8103 (Print)

Open Journal of Discrete Applied Mathematics (ODAM)

ISSN: 2617-9687 (online) 2617-9679 (Print)

Ptolemy Journal of Chemistry (PJC)

ISSN: 2618-0758 (online) 2618-074X (Print)

Engineering and Applied Science Letters (EASL)

ISSN: 2617-9709 (online) 2617-9695 (Print)

Trends in Clinical and Medical Sciences (TCMS)

ISSN: 2791-0814 (online) 2791-0806 (Print)

Latest in Press

Author(s): Jonah Lissner1,2,3,4
1Alumnus, Foukzon Laboratory, Center for Mathematical Sciences, Technion — Israel Institute of Technology
2Invited Scientist, Numerical Calculus Laboratory, University of Calabria
3Researcher, Laboratoire de Mecanique Quantique et Structures de l’Information
4Director, Center for Computer Science, Mathematics, and Engineering Physics [CCSMEP]
Abstract:

Entropy patterns typically transfer actions of two-state relations in nonlinear systems. Here, multivalent logic is applied from autowave fields to selected Quantum Neurophysical systems.

Author(s): Belindar A. Juma1, Abayomi S. Oke2, Winifred N. Mutuku1, Afolabi G. Ariwayo2, Olum J. Ouru1
1Department of Mathematics and Actuarial Science, Kenyatta University, Kenya.
2Department of Mathematical Sciences, Adekunle Ajasin University, Akungba Akoko, Nigeria.
Abstract:

Enhancement of heat and mass transfer heat over rotating plates in industrial processes is a major area of research recently due to several attempts to find cost-effective means. In this study, the flow of Williamson fluid is considered because of its ability to exhibit pseudo-plastic and shear-thinning properties. A theoretical analysis of the effect of Coriolis force and the angle inclination on the magnetohydrodynamic flow of Williamson fluid is considered. The flow is modelled by including Coriolis force and angle of inclination in the Navier-Stokes equation. By adopting a suitable similarity transformation, the system of governing partial differential equations is reduced to a system of ordinary differential equations which are solved using bvp4c solver in MATLAB. The simulations are depicted as graphs and it is found that velocity increases with increasing Coriolis force while it decreases as the magnetic field strength and inclination angle increases. Also, the local skin friction reduces as the rotation increases. Hence, to boost heat and mass transfer in the flow of fluid over a rotating inclined plate in a magnetic field, it is recommended that rotation should be increased and magnetic field strength should be reduced.

Author(s): Igibah Ehizemhen Christopher1, Busari, Ayobami Adebola1, Aderinola Olumuyiwa Samson2, Agashua Lucia Omolayo2
1Department of Civil Engineering, Federal University Oye Ekiti, Ekiti State, Nigeria
2Department of Civil Engineering, Federal University of Technology, Akure, Ondo State, Nigeria
Abstract:

This study investigates contemporary and emerging transportation problems in North-central Nigeria. Its primary objective is to identify and characterize the major challenges facing passengers within the region and to propose a sustainable institutional framework for improved transportation management. The study draws upon data collected through field audits in three North-central states: the Federal Capital Territory (FCT) Abuja, Nasarawa, and Niger. Key findings highlight the lack of developed transit connections to major activity centers. The study concludes that these challenges stem from inefficiencies within the existing institutional mechanisms for transportation management. To address this, the study proposes the establishment of an effective, innovative transport system, such as an intercity train network within the North-central zone, as a sustainable transportation management strategy for the region.

Author(s): Farooq Ahmed Shah1, Muhammad Aslam Noor2
1Department of Mathematics, COMSATS University Islamabad, Attock Campus Pakistan
2Department of Mathematics, COMSATS University Islamabad, Pakistan
Abstract:

The purpose of this paper is to introduce and evaluate novel iterative methods for approximating solutions to nonlinear equations, which leverage the power of the variational iteration technique. Specifically, we present a comprehensive analysis of the proposed methods and demonstrate their effectiveness through various examples. Moreover, we provide a comparative analysis with other existing methods and conclude that the newly developed methods offer a competitive alternative. Our results highlight the potential of this approach in generating a diverse set of iterative methods for solving nonlinear equations. Therefore, this study contributes to the ongoing efforts to improve the efficiency and accuracy of nonlinear equation solving techniques.

Author(s): Noha Mohammad Seyam1, Mohammed Ali Alghamdi2, Adnan Khalil3
1Department of Mathematics, Faculty of Science, Umm Al-Qura University, Makkah Saudi Arabia.
2Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.
3Department Computer Sciences, Al-Razi Institute Saeed Park, Lahore Pakistan.
Abstract:

There are three different kinds of topological indices: spectrum-based, degree-based, and distance-based. We presented the \(K\)-swapped network for \(t\)-regular graphs in this study. We also computed various degree-based topological indices of the \(K\)-swapped network for \(t\)-regular graphs, eye, and \(n\)-dimensional twisted cube network. The metrics used to analyze the abstract structural characteristics of networks are called topological indices. We also calculate each of the aforementioned networks M-polynomials. A graph can be used to depict an interconnection network’s structure. The processing nodes in the network are represented by vertices, while the links connecting the processor nodes are represented by edges. We can quickly determine the diameter and degree between the nodes based on the graph’s tpology. A key component of graph theory are graph invariants, which identify the structural characteristics of networks and graphs. Furthermore doescribed by graph invariants are computer, social, and internet networks.

Author(s): Saad Tobaili1, Haifa Ahmed2, Mohammed Alsharafi3
1Department of Mathematics, Faculty of Science, Hadhramout University, Mukalla, Yemen.
2Department of Mathematics, Faculty of Education, Art and Science, Aden University, Aden, Yemen.
3Department of Mathematics, Faculty of Arts and Science, Yildiz Technical University, 34220 Esenler, Istanbul, Turkey.
Abstract:

Shadi I.K et al. [1] introduced the edge hub number of graphs. This work extends the concept to fuzzy graphs. We derive several properties of edge hub number of fuzzy graphs and establish some relations that connect the new parameter with other fuzzy graph parameters. Also, some bounds of such a parameter are investigated. Moreover, we provide empirical evidence examples to elucidate the behavior and implications of edge hub number of fuzzy graph parameters.

Author(s): Carlos A. Alfaro1, Christian Rubio-Montiel2, Adrián Vázquez Ávila3
1Banco de México, Ciudad de México, México
2División de Matemáticas e Ingeniería, FES Acatlán, Uiversidad Nacional Autónoma de México, Ciudad de México, México
3Subdirección de Ingeniería y Posgrado, Universidad Aeronáutica en Querétaro, Querétaro, México
Abstract:

In this paper, we give a relationship between the covering number of a simple graph \(G\), \(\beta(G)\), and a new parameter associated to \(G\), which is called 2-degree-packing number of \(G\), \(\nu_2(G)\). We prove that \[\lceil \nu_{2}(G)/2\rceil\leq\beta(G)\leq\nu_2(G)-1,\] for any simple graph \(G\), with \(|E(G)|>\nu_2(G)\). Also, we give a characterization of connected graphs that attain the equalities.

Author(s): Syed Ahtsham Ul Haq Bokhary1, Shehr Bano1
1Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan.
Abstract:

Let \(A\) and \(B\) be two graph and \(P(A,z)\) and \(P(B,z)\) are their chromatic polynomial, respectively. The two graphs \(A\) and \(B\) are said to be chromatic equivalent denoted by \( A \sim B \) if \(P(A,z)=P(B,z)\). A graph \(A\) is said to be chromatically unique(or simply \(\chi\)- unique) if for any graph \(B\) such that \(A\sim B \), we have \(A\cong B\), that is \(A\) is isomorphic to \(B\). In this paper, the chromatic uniqueness of a new family of \(6\)-bridge graph \(\theta(r,r,s,s,t,u)\) where \(2\leq r\leq s \leq t\leq u\) is investigated.

Author(s): David Raske 1
11210 Washtenaw, Ypsilanti, MI, 48197, USA.;
Abstract:

This corrigenda makes seven corrections to D. Raske, “The Galerkin method and hinged beam dynamics,” Open J. of Math. Sci. 2023, 7, 236-247.

Author(s): Shaowen Li1
1School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo 454000, China.
Abstract:

This paper gives sufficient conditions for the existence of positive periodic solutions to general indefinite singular differential equations. Furthermore, under some assumptions we show the existence of two positive periodic solutions. The methods used are Krasnoselski\(\breve{\mbox{i}}\)’s-Guo fixed point theorem and the positivity of the associated Green’s function.

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