Information Menu

Authors Guidelines

Copyright Policy

Editorial Workflow

Our Journals

vol1-2017-black
oma-cover
ODAM-cover
Ptolemy Journal of chemistry
EASL-cover
Trends in Clinical and Medical Sciences

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.

Latest Published Articles

Wiener polarity index of quasi-tree molecular structures

OMS-Vol. 2 (2018), Issue 1, pp. 73–83 | Open Access Full-Text PDF
Zihao Tang, Li Liang, Wei Gao
Abstract:As an important branch of theoretical chemistry, chemical index calculation has received wide attention in recent years. Its theoretical results have been widely used in many fields such as chemistry, pharmacy, physics, biology, materials, etc. and play a key role in reverse engineering. Its basic idea is to obtain compound characteristics indirectly through the calculation of topological index. As a basic structure, quasi-tree structures are widely found in compounds. In this paper, we obtain the maximal value and the second smallest value of quasi-tree graphs of order \(n.\)
Read Full Article

Fixed point results for the complex fractal generation in the S -iteration orbit with s -convexity

OMS-Vol. 2 (2018), Issue 1, pp. 56–72 | Open Access Full-Text PDF
Krzysztof Gdawiec, Abdul Aziz Shahid
Abstract:Since the introduction of complex fractals by Mandelbrot they gained much attention by the researchers. One of the most studied complex fractals are Mandelbrot and Julia sets. In the literature one can find many generalizations of those sets. One of such generalizations is the use of the results from fixed point theory. In this paper we introduce in the generation process of Mandelbrot and Julia sets a combination of the S-iteration, known from the fixed point theory, and the s-convex combination. We derive the escape criteria needed in the generation process of those fractals and present some graphical examples.
Read Full Article

On the viscosity rule for common fixed points of two nonexpansive mappings in CAT(0) spaces

OMS-Vol. 2 (2018), Issue 1, pp. 39–55 | Open Access Full-Text PDF
Ebenezer Bonyah, Maqbool Ahmad, Iftikhar Ahmad
Abstract:In this paper, we establish viscosity rule for common fixed points of two nonexpansive mappings in the framework of CAT(0) spaces. The strong convergence theorems of the proposed technique is proved under certain assumptions imposed on the sequence of parameters. The results presented in this work extend and improve some recent announced in the literature.
Read Full Article

Combination of Homotopy Perturbation Method (HPM) and Double Sumudu Transform to Solve Fractional KdV Equations

OMS-Vol. 2 (2018), Issue 1, pp. 29–38 | Open Access Full-Text PDF
Hamood ur Rehman, Muhammad Shoaib Saleem, Ayesha Ahmad
Abstract:In this work, we developed homotopy perturbation double Sumudu transform method (HPDSTM) which is obtained by combining homotopy perturbation method, double Sumudu transform and He’s polynomials. The method is applied to find the solution of linear fractional one and two dimensional dispersive KdV and nonlinear fractional KdV equations to illustrate the reliability of the method. It is observed that the solutions obtained by the method converge rapidly to the exact solutions. This method is very powerful, and professional techniques for solving different kinds of linear and nonlinear fractional order differential equations.
Read Full Article

Hyper Zagreb Index of Bridge and Chain Graphs

OMS-Vol. 2 (2018), Issue 1, pp. 1–17 | Open Access Full-Text PDF
Nilanjan De
Abstract:Let \(G\) be a simple connected molecular graph with vertex set \(V(G)\) and edge set \(E(G)\). One important modification of classical Zagreb index, called hyper Zagreb index \(HM(G)\) is defined as the sum of squares of the degree sum of the adjacent vertices, that is, sum of the terms \({[{{d}_{G}}(u)+{{d}_{G}}(v)]^2}\) over all the edges of \(G\), where \(d_G(v)\) denote the degree of the vertex \(u\) of \(G\). In this paper, the hyper Zagreb index of certain bridge and chain graphs are computed and hence using the derived results we compute the hyper Zagreb index of several classes of chemical graphs and nanostructures.
Read Full Article
BOOK-foundations-of-mathematical-analysis-and-semigroups-theory
BOOK - NULL CONTROLLABILITY OF DEGENERATE AND NON-DEGENERATE SINGULAR PARABOLIC