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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): Sajid Mahmood1, Zaheer Ahmad2, Muhammad Arshad3
1Division of Science and Technology, University of Education, Lahore-54590, Pakistan.
2Department of Chemistry, University of Wah, Wah Cantt, Pakistan.
3Institute of Chemistry, University of the Punjab, Lahore, Pakistan.
Abstract:

The objective of the present work was to develop and validate of an analytical method for the quantitative determination of Fexo. HCL and Pseudo. HCL in a combine tablet dosage form by \(UV-V\) is spectrophotometry and TLC. The main problem was to separate the two active ingredient from a single bilayered tablet because both the A.P.I’s were soluble in the same solvents. As media selection, distilled water and ethanol \((1:1)\) were used for Pseudo. HCl and methanol for Fexo. HCl, in which both the drugs were soluble and stable for a sufficient time. Both drugs were measured at \(220\)nm and \(247\)nm, where they showed maximum absorbance. Beer Lambert’s law was obeyed at concentration range \(4-14\) ppm and \(5-30\) ppm for Fexo. HCL and Pseudo HCL respectively. Fexo. HCl \((Y=0.0643x+0.9370)\) was measured with correlation coefficient \(r =0.9574\) and Pseudo. HCl \((Y=0.0843x+0.0219)\) with correlation coefficient \(r =0.9992\). The results of analysis have been validated statistically and recovery studies were carried out as \(99.29\%\pm 0.943\) and \(99.29\%\pm 0.941\) which were close to the assay value \(100.1\% \& 100.6 \%\). Precision of the method was measured which showed results for SD \((99.57 \% \;\;\& \;\;99. 51% )\) and \(\%\) RSD \((99.53 \%\;\; \&\;\; 99.54)\). The proposed method may be suitably applied for the analysis of Fexo. HCL and Pseudo.HCL in tablet pharmaceutical formulation for routine analysis.

Author(s): Harishchandra S. Ramane1, Hemaraddi N. Maraddi1
1Department of Mathematics, Karnatak University, Dharwad-580003, India.
Abstract:

Let \(V(G) = \{v_1, v_2, \ldots, v_n\}\) be the vertex set of \(G\) and let \(d_{G}(v_i)\) be the degree of a vertex \(v_i\) in \(G\). The degree subtraction adjacency matrix of \(G\) is a square matrix \(DSA(G)=[d_{ij}]\), in which \(d_{ij}=d_{G}(v_i)-d_{G}(v_j)\), if \(v_i\) is adjacent to \(v_j\) and \(d_{ij}=0\), otherwise. In this paper we express the eigenvalues of the degree subtraction adjacency matrix of subdivision graph, semitotal point graph, semitotal line graph and total graph of a regular graph in terms of the adjacency eigenvalues of \(G\). Further we obtain the degree subtraction adjacency energy of these graphs.

Author(s): Rachanna Kanabur1, Sunilkumar Hosamani2
1Department of Mathematics, Bldea’s Commerce BHS Arts and TGP Science, College, Jamakhandi – 587301 Karnataka, India
2Department of Mathematics, Rani Channamma University Belagavi – 591156 Karnataka, India
Abstract:

A carbon nanotube (CNT) is a miniature cylindrical carbon structure that has hexagonal graphite molecules attached at the edges. In this paper, we compute the numerical invariant (Topological indices) of linear [n]-phenylenic, lattice of \(C_{4}C_{6}C_{8}[m, n]\), \(TUC_{4}C_{6}C_{8}[m, n]\) nanotube, \(C_{4}C_{6}C_{8}[m, n]\) nanotori.

Author(s): Nehad Ali Shah1, Ahmad Hajizadeh2, Muhammad Zeb3, Sohail Ahmad3, Yasir Mahsud1, Isaac Lare Animasaun4
1Abdus Salam School of Mathematical Sciences GC University Lahore, Pakistan.
2FAST, University Tun Hussein Onn Malaysia, 86400, Parit Raja, Batu Pahat, Johor State, Malaysia. And Public Authority of Applied Education and Training, College of Technological Studies, Applied Science Department, Shuwaikh, Kuwait.
3Department of Mathematics, COMSATS University Islamabad, Attock Campus, Pakistan.
4Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria.
Abstract:

This article presents, effects of fractional order derivative and magnetic field on double convection flow of viscous fluid over a moving vertical plate with constant temperature and general concentration. The model is fractionalized by using Caputo-Fabrizio derivative operator. Closed form solutions of the fluid velocity, concentration and temperature are obtained by means of the Laplace transform. Numerical computations and graphical illustrations are used in order to study the effects of the Caputo-Fabrizio time-fractional parameter , magnetic parameter , Prandtl and Grashof numbers on velocity field.

Author(s): Jiachang Ye1, Yuedan Yao2
1Department of Mathematics, South China Agricultural University, Guangzhou, China
2Department of Mathematics, South China Agricultural University, Guangzhou, China.
Abstract:

The zeroth-order general Randić index of a simple connected graph G is defined as \(R_{\alpha}^{0}(G)=\sum_{u\in V(G)} \big(d(u)\big)^{\alpha}\), where \(d(u)\) is the degree of \(u\) and \(\alpha\not\in \{0,1\}\) is a real number. A \(k\)-polygonal cactus is a connected graph in which every edge lies in exactly one cycle of length \(k\). In this paper, we present the extremal \(k\)-polygonal cactus with \(n\) cycles for \(k\geq3\) with respect to the zeroth-order general Randić index.

Author(s): Muhammad Akmal1, Muhammad Saqib Khan1, Shahzad Ahmad Maitla2
1Department of Mathematics, Lahore Leads University, Lahore, Pakistan.
2Department of Mathematics, University of Management and Technology, Sialkot, Pakistan.
Abstract:

The aim of this paper is to present a viscosity approximation method for asymptotically nonexpansive mappings in Banach spaces. The strong convergence of the viscosity rules is proved with some assumptions. This paper extend and improve results presented in [1, 2, 3, 4].

Author(s): Wei Gao1, Muhammad Asif2, Waqas Nazeer3
1School of Information Science and Technology, Yunnan Normal University, Kunning, China
2Department of Mathematics, University of Lahore, Pakpattan Campus, Lahore Pakistan.
3Division of Science and Technology, University of Education, Lahore, 54000, Pakistan.
Abstract:

Chemical reaction network theory is an area of applied mathematics that attempts to model the behavior of real world chemical systems. Since its foundation in the 1960s, it has attracted a growing research community, mainly due to its applications in biochemistry and theoretical chemistry. It has also attracted interest from pure mathematicians due to the interesting problems that arise from the mathematical structures involved. In this report, we compute newly defined topological indices, namely, Arithmetic-Geometric index (\(AG_{1}\) index), \(SK\) index, \(SK_{1}\) index, and \(SK_{2}\) index of the Honey Comb Derived Networks. We also compute sum connectivity index and modified Randić index. Moreover we give geometric comparison of our results.

Author(s): Said R. Grace 1, Shurong Sun2, Limei Feng2, Ying Sui2
1Department of Engineering Mathematics, Faculty of Engineering£¬ Cairo University, Orman, Giza 12221, Egypt. (S.R.G)
2School of Mathematical Science, University of Jinan, Jinan, Shandong 250022, P R China. (S.S & L.F & Y.S)
Abstract:

We shall present new oscillation criteria of second order nonlinear difference equations with a non-positive neutral term of the form \(\Delta(a(t)(\Delta(x(t)-p(t)x(t-k)))^{\gamma})+q(t)x^{\beta}(t+1-m)=0,\) with positive coefficients. Examples are given to illustrate the main results.

Author(s): Muhammad Shoaib Saleem1, J. Pečarič2, Mubeen Munir3, Asghar Ali4, Muhammad Shahid Iqbal Tubssam4
1Department of Mathematics, University of Okara, Okara, Pakistan.
2Faculty of Textile Technology, University of Zagreb, 10000, Zagreb Croatia.
3Department of Mathematics, Division of Science and Technology, University of Education, Lahore 54000, Pakistan.
4Department of Mathematics and Statistics, The University of Lahore, Lahore 54000, Pakistan.
Abstract:

In this work we develop the weighted square integral estimates for the second derivatives of weak subsolution of forth order Laplace equation. It is natural generalization of inequalities develop for the Superharmonic functions in [1].

Author(s): Guoshun Liu1, Zhiyang Jia2, Wei Gao3
1School of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, China.
2Tourism and culture college, Yunnan University, Lijiang 674100, China.
3School of Information Science and Technology,Yunnan Normal University, Kunming 650500, China.
Abstract:

With the extensive application of ontology in the fields of information retrieval and artificial intelligence, the ontology-based conceptual similarity calculation becomes a hot topic in ontology research. The essence of ontology learning is to obtain the ontology function through the learning of ontology samples, so as to map the vertices in each ontology graph into real numbers, and finally determine the similarity between corresponding concepts by the difference between real numbers. The essence of ontology mapping is to calculate concepts from different ontologies. In this paper, we introduce new ontology similarity computing in view of stochastic primal dual coordinate method, and two experiments show the effectiveness of our proposed ontology algorithm.

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