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): Farhan Ammar Ahmad1
1Department of Electrical Engineering, University of Management and Technology Lahore, Sialkot campus, Pakistan.
Abstract:

Multiple-input-multiple-output (MIMO) antennas performance can be degraded due to the poor isolation between the MIMO antenna elements. In this paper, we present a review of the different isolation enhancement schemes available in the literature. Empirically the isolation between the antennas can be improved by placing the antenna as far as possible and it can be enhanced further by introducing different isolation enhancement schemes. Theory of characteristic modes (TCM) was recently proposed that has useful benefits. TCM is also used to enhance the isolation. Moreover, this papers focus on the different approaches of TCM, to enhance the isolation.

Author(s): Afif Abdalmonem1, Omer Abdalrhman2, Hossam Eldeen Mohammed1
1Faculty of Science, University of Dalanj, Dalanj, Sudan.
2College of Education, Shendi University, Shendi, Sudan.
Abstract:

By using the boundedness results for the commutators of the fractional integral with variable kernel on variable Lebesgue spaces \(L^{p(\cdot)}(\mathbb{R}^{n})\), the boundedness results are established on variable exponent Herz-Morrey spaces \(M\dot{K}_{q,p(\cdot)}^{\alpha, \lambda}(\mathbb{R}^{n})\).

Author(s): P. Chella Pandian1
1Department of Mathematics, Srimad Andavan Arts and Science College(A), Tiruchirappalli-620005, Tamil Nadu, India.
Abstract:

In this paper, the covering radius of codes over \(\mathbb R ={\mathbb Z_2}{R^{*}},\) where \(R^{*}={\mathbb Z_2}+v{\mathbb Z_2},v^{2}=v\) with different weight are discussed. The block repetition codes over \(\mathbb R\) is defined and the covering radius for block repetition codes, simplex code of \(\alpha\)-type and \(\beta\)-type in \(\mathbb R\) are obtained.

Author(s): Albo Carlos Cavalheiro1
1State University of Londrina, Department of Mathematics, Londrina – PR, Brazil.
Abstract:

In this article, we prove the existence and uniqueness of solutions for the Navier problem \( \Delta\big[\omega_1(x)\vert\Delta u\vert^{p-2}\Delta u+ \nu_1(x)\vert\Delta u\vert^{q-2}\Delta u\big] -{div}\big[\omega_2(x)\vert\nabla u\vert^{p-2}\nabla u +\nu_2(x)\vert\nabla u\vert^{s-2}\nabla u\big] = f(x) – { div}(G(x)),\) in \({\Omega},\) with
\(u(x) = {\Delta}u= 0,\) in \({\partial\Omega},\) where \(\Omega\) is a bounded open set of \(\mathbb{R}^N\) for \(N\geq 2\), \(\frac{f}{\omega_2}\in L^{p’}(\Omega , {\omega}_2)\) and \(\frac{G}{{\nu}_2}\in \left[L^{s’}(\Omega ,{\nu}_2)\right]^N\).

Author(s): Zehui Shao1, Abaid ur Rehman Virk2, Muhammad Samar Javed3, M. A. Rehman2, Mohammad Reza Farahani4
1Institute of Computing Science and Technology, Guangzhou University, Guangzhou 510006, China.
2Department of Mathematics, University of Management and Technology, Lahore 54000, Pakistan.
3Department of Mathematics, The University of Lahore Pakpattan Campus, Lahore 54000, Pakistan.
4Department of Applied Mathematics,~Iran University of Science and Technology (IUST), Iran.
Abstract:

In the fields of chemical graph theory (CGT), mathematical chemistry and molecular topology, a~topological index (TI) also known as a connectivity~index~is a type of a molecular descriptor that is calculated based on the molecular graph of a chemical compound. \(BiI_{3}\) is an excellent inorganic compound and is very useful in qualitative inorganic analysis and topological indices of \(BiI_{3} \) help to predict many properties like boiling point, heat of formation, strain energy, rigidity and fracture toughness and correlate the structure with various physical properties, chemical reactivity and biological activities. This paper computes several degree-based topological indices like multiplicative first Zagreb index, multiplicative second Zagreb index, multiplicative atomic bond connectivity index, multiplicative first and second hyper Zagreb index and multiplicative geometric arithmetic index for Bismuth Tri-Iodide chains and sheets.

Author(s): Afshan Perveen1, Samina Kausar2, Waqas Nazeer2
1Department of Mathematics, The University of Lahore Pakpattan Campus, Pakistan.
2Division of Science and Technology, University of Education, Lahore, Pakistan.
Abstract:

In this paper, we present a new non-convex hybrid iteration algorithm for common fixed points of a uniformly closed asymptotically family of countable quasi-Lipschitz mappings in the domains of Hilbert spaces.

Author(s): Jianzhang Wu1,2, Jiabin Yuan3, Wei Gao4
1College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China.
2School of Computer Science and Engineer, Southeast University, Nanjing 210096, China.
3, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China.
4School of Information Science and Technology, Yunnan Normal University, Kunming 650500, China.
Abstract:

In the field of computer networks, the performance of data transmission is usually characterized by the fractional factor. Some sufficient conditions for the existence of Hamilton fractional factors are obtained in this paper, and they extend the original theory presented in Gao et al. [1].

Author(s): Said R. Grace1, Shurong Sun2, Zhenlai Han2
1Department of Engineering Mathematics, Faculty of Engineering, Cairo University, Orman, Giza 12221, Egypt.
2School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, P R China.
Abstract:

In this paper we are concerned with the problem of asymptotic integration of positive solutions of higher order fractional differential equations with Caputo-type Hadamard derivative of the form \(^{C,H}D_{a}^r x(t)=e(t)+f(t,x(t)), \; a>1,\) where \(r = n +\alpha -1, \alpha\in (0, 1), n \in \mathbb{Z}^+\). We shall apply our technique to investigate the oscillatory and asymptotic behavior of all solutions of the integral equation \(x(t)=e(t)+\int_a ^t (\ln\frac{t}{s} )^{r-1} k(t,s)f(s,x(s))\frac{ds}{s}, \; a>1,\) \(r\) is as above.

Author(s): Ebenezer Bonyah1, Gratien Twagirumukiza2, Patience Pokuaa Gambrah3
1Department of Mathematics Education, University of Education Winneba(Kumasi campus),Kumasi, Ghana.
2African Institute for Mathematical Sciences, Ghana (AIMS).
3Department of Mathematics and Statistics, Kumasi Technical University, Ghana.
Abstract:

We present a compartmental mathematical model of (SITR) to investigate the effect of saturation treatment in the dynamical spread of diarrhea in the community. The mathematical analysis shows that the disease free and the endemic equilibrium points of the model exist. The disease-free equilibrium is locally and globally asymptotically stable when \(R_{0}<1\) and unstable otherwise \(R_{0}>1\). Numerical simulation results, show the effect of saturation treatment function on the spread of diarrhea. Efficacy of treatment shows a great impact in the total eradication of diarrhea epidemic.

Author(s): Sandra Pinelas1, Govindan Vediyappan2, Kandhasamy Tamilvanan3
1Departmento de Cie Ì‚ncias Exatas e Engenharia, Academia Militar, Portugal.
2Sri Vidya Mandir Arts and Science College, Katteri, Uthangarai, Tamilnadu, 636902, India.
3Department of Mathematics, Government Arts and Science College (For Men), Krishnagiri, Tamil Nadu, 635 001 India.
Abstract:

In this paper, we find the general solution of a Septoicosic functional equation (11) for all \(x, y \in X\) and investigate its general Hyers-Ulam stability in Banach Space using direct and fixed point methods.

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