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Ptolemy Journal of chemistry
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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

Block Digraph of a Directed Graph

OMS-Vol. 2 (2018), Issue 1, pp. 202–208 Open Access Full-Text PDF
H. M. Nagesh, M. C. Mahesh Kumar
Abstract:Let \(D\) be a connected digraph of order \(n\); \((n \geq 3)\) and let \(B(D)=\{B_1,B_2,\ldots,B_N\}\) be a set of blocks of \(D\). The block digraph \(Q=\mathbb{B}(D)\) has vertex set \(V(Q)=B(D)\) and arc set \(A(Q)=B_iB_j\) and \(B_i,B_j \in V(Q),\) \(B_i,B_j\) have a cut-vertex of \(D\) in common and every vertex of \(B_j\) is reachable from every other vertex of \(B_i\) We study the properties of \(\mathbb{B}(D)\) and present the characterization of digraphs whose \(\mathbb{B}(D)\) are planar; outerplanar; maximal outerplanar; minimally nonouterplanar; Eulerian; and Hamiltonian.
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Fuzzy Integral Domains and Fuzzy Regular Sequences

OMS-Vol. 2 (2018), Issue 1, pp. 179–201 Open Access Full-Text PDF
Saba Ayub, Waqas Mahmood
Abstract:In this paper, the notions of fuzzy zero-divisors and fuzzy integral domains are illustrated. Some fundamental properties of fuzzy integral domains are proved. Moreover, the notions of fuzzy regular element and fuzzy regular sequences are defined. It is shown that any permutation (resp. any positive integral power) of a fuzzy regular sequence is again a fuzzy regular sequence. At the end, fuzzy regular sequences of two fuzzy submodules are related with the help of fuzzy short exact sequences.
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An Intuitionistic Approach for One-shot Decision Making

OMS-Vol. 2 (2018), Issue 1, pp. 164–178 Open Access Full-Text PDF
Aamir Mahboob, Tabasam Rashid, Wojciech Salabun
Abstract:In 1965, L.A Zadeh inaugurated the idea of fuzzy set theory by extrapolating classical set theory. Later, Atanassov popularized it as an intuitionistic fuzzy set (IFS) more precisely than the fuzzy logic theory in 1983. IFS is highly fruitful in expounding uncertain situations which we face in decision making. In this paper, we have reexamined the idea of IFS and suggested the applications in decision making methods. Moreover, this theory helps us find the solution of one-shot decision (OSD) problems we mostly face in trade and economics, and the behavior of the decision person and assists them to get the best answer.
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Zagreb polynomials and redefined Zagreb indices for the line graph of carbon nanocones

OMA-Vol. 2 (2018), Issue 1, pp. 66–73 | Open Access Full-Text PDF
Saba Noreen, Atif Mahmood
Abstract:A line graph has many useful applications in physical chemistry. Topological indices are numerical parameters associated to a structure and, in combination, determine properties of the concerned material. In this paper, we compute the closed form of Zagreb polynomilas of all generalized class of carbon nanocones and compute important degree-based topological indices.
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General solution of casson fluid past a vertical plate subject to the time dependent velocity with constant wall temperature

OMA-Vol. 2 (2018), Issue 1, pp. 47–65 | Open Access Full-Text PDF
Allia Naseem
Abstract:Unsteady free convection flow of Casson fluid over an unbounded upright plate subject to time dependent velocity \(U_{o}f(t)\) with constant wall temperature has been carried out. By introducing dimensionless variables, the general solutions are obtained by Laplace transform method. The solution corresponding to Newtonian fluid for \(\gamma \rightarrow \infty\) is obtained as a limiting case. Exact solutions corresponding to (i) \(f(t)=f H(t)\), (ii) \(f(t)=f t^{a}\), \(a > 0 \) (iii) \( f(t)=f H(t)cos(\omega t)\) are also discussed as special cases of our general solutions. Expressions for shear stress in terms of skin friction and the rate of heat transfer in the form of Nusselt number are also presented. Velocity and temperature profiles for different parameters are discussed graphically.
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New type integral inequalities for three times differentiable preinvex and prequasiinvex functions

OMA-Vol. 2 (2018), Issue 1, pp. 33–46 | Open Access Full-Text PDF
Huriye Kadakal, Mahir Kadakal, İmdat İşcan
Abstract:In this paper, a new identity for functions defined on an open invex subset of set of real numbers is established, and by using the this identity and the Hölder and Power mean integral inequalities we present new type integral inequalities for functions whose powers of third derivatives in absolute value are preinvex and prequasiinvex functions.
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BOOK-foundations-of-mathematical-analysis-and-semigroups-theory
BOOK - NULL CONTROLLABILITY OF DEGENERATE AND NON-DEGENERATE SINGULAR PARABOLIC