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Latest Published Articles

Simultaneous Determination of Fexofenadine HCl and Pseudoephedrine HCl in Combined Pharmaceutical Dosage Form

OJC-Vol. 1 (2018), Issue 1, pp. 01–11 | Open Access Full-Text PDF
Sajid Mahmood, Muhammad Arshad, Zaheer Ahmed
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.
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Degree Subtraction Adjacency Eigenvalues and Energy of Graphs Obtained From Regular Graphs

ODAM-Vol. 1 (2018), Issue 1, pp. 08–15 | Open Access Full-Text PDF
Harishchandra S. Ramane, Hemaraddi N. Maraddi
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.
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Some Numerical Invariants Associated with V-phenylenic Nanotube and Nanotori

EASL-Vol. 1 (2018), Issue 1, pp. 01–09 | Open Access Full-Text PDF
Rachanna Kanabur, Sunilkumar Hosamani
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.
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Effect of Magnetic Field on Double Convection Flow of Viscous Fluid over a Moving Vertical Plate with Constant Temperature and General Concentration by using New Trend of Fractional Derivative

OMS-Vol. 2 (2018), Issue 1, pp. 253–265 Open Access Full-Text PDF
Nehad Ali Shah, Ahmad Hajizadeh, Muhammad Zeb, Sohail Ahmad, Yasir Mahsud, Isaac Lare Animasaun
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.
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A Note on the Zeroth-order General Randić Index of Polygonal Cacti

ODAM-Vol. 1 (2018), Issue 1, pp. 01–07 | Open Access Full-Text PDF
Jiachang Ye, Yuedan Yao
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.
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Viscosity methods for approximating solutions of variational inequalities for asymptotically nonexpansive mappings

OMA-Vol. 2 (2018), Issue 2, pp. 27–40 | Open Access Full-Text PDF
Muhammad Akmal, Muhammad Saqib Khan, Shahzad Ahmad Maitla
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].
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BOOK - NULL CONTROLLABILITY OF DEGENERATE AND NON-DEGENERATE SINGULAR PARABOLIC