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Latest Published Articles

Awareness, acceptance and hesitancy regarding human papilloma virus vaccine among nursing students of a rural medical college of Maharashtra

TCMS-Vol. 2 (2022), Issue 4, pp. 32 – 38 Open Access Full-Text PDF
Aitalwad Deepmala, Jogdand Mohini, Mali Sandeep, Aghav Shridhar and Amar Raj

Abstract: Introduction: Human papillomavirus causes many diseases like genital warts, sexual transmitted diseases; cervical cancer. Human papilloma virus vaccine is available for adolescent girls. Though it is effective its use has not increased. Therefore, the current study is designed to determine the awareness, acceptance and hesitancy among nursing students.

Objectives: To study awareness about HPV vaccine and to assess the acceptability and hesitancy regarding HPV vaccine.
Materials and Methods: A cross-sectional study conducted among first year to last year nursing students studying in a rural medical college, Ambajogai. A pretested self-administered structured questionnaire was used for collecting data. Information regarding sociodemographic characteristics, awareness, acceptability, willingness to take the vaccine and spreading information to community were interviewed and recorded. Study period was from 1st July 2022 to 31st August 2022.
Results: Out of 180 students, study carried among 169 those who gave consent and presented at time of study. Among them 27% were 15- 20 years of age group and 73% were in the age group 20-25 years. Most of them belongs to middle (43.7%) and upper middle (36.6%) socioeconomic class. Out of total participants 22.5% were males and 77.5 %were females. 7.7% were married and 92.3% were unmarried. 27.8% were heard about HPV and HPV vaccine.
Conclusion: This study has indicated that very few participants were aware about HPV vaccine. Hesitancy can be reduced by providing proper knowledge about safety and side effects of HPV vaccine.
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A two-step block method with two hybrid points for the numerical solution of first order ordinary differential equations

OMS-Vol. 6 (2022), Issue 1, pp. 281 – 288 Open Access Full-Text PDF
AbdulAzeez Kayode Jimoh and Adebayo Olusegun Adewumi

Abstract: A continuous two-step block method with two hybrid points for the numerical solution of first order ordinary differential equations is proposed. The approximate solution in form of power series and its first ordered derivative are respectively interpolated at the point \(x=0\) and collocated at equally spaced points in the interval of consideration. The application of the method involves using the main scheme derived together with the additional schemes simultaneously to obtain the solution to the problem at the grid points. The analysis of the method and the results obtained from the examples considered show that the method is consistent, zero-stable, convergent and of high accuracy.

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Application of the newly \(\varphi^{6}\)-model expansion approach to the nonlinear reaction-diffusion equation

OMS-Vol. 6 (2022), Issue 1, pp. 269 – 280 Open Access Full-Text PDF
Muhammad Abubakar Isah and Asif Yokus

Abstract: In this paper, we use the \(\varphi ^{6}\)-model expansion method to construct the traveling wave solutions for the reaction-diffusion equation. The method of \(\varphi ^{6}\)-model expansion enables the explicit retrieval of a wide variety of solution types, such as bright, singular, periodic, and combined singular soliton solutions. Kink-type solitons, also known as topological solitons in the context of water waves, are another type of solution that can be explicitly retrieved. This study’s results might enhance the equation’s nonlinear dynamical properties. The method proposes a practical and efficient method for solving a sizable class of nonlinear partial differential equations. The dynamical features of the data are explained and highlighted using exciting graphs.

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Ideal theory of interval neutrosophic sets in subtraction algebras

OMS-Vol. 6 (2022), Issue 1, pp. 262 – 268 Open Access Full-Text PDF
V. S. Subha and P. Dhanalakshmi

Abstract: In this paper, we introduce the notion of interval neutrosophic ideals in subtraction algebras. Also, introduce the intersection and union of interval neutrosophic sets in subtraction algebras. We prove intersection of two-interval neutrosophic ideals is also an interval neutrosophic ideal. Some exciting properties and results based on such an ideal are discussed. Moreover, we define the homomorphism and homomorphism of interval neutrosophic sets. We prove the image of an interval neutrosophic subalgebra is also an interval neutrosophic sub-algebra.

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Further on quantum-plank derivatives and integrals in composite forms

OMA-Vol. 6 (2022), Issue 2, pp. 130 – 138 Open Access Full-Text PDF
Ghulam Farid and Zeeshan Afzal

Abstract:In quantum-plank calculus, \(q\)-derivatives and \(h\)-derivatives are fundamental factors. Recently, a composite form of both derivatives is introduced and called \(q-h\)-derivative. This paper aims to present a further generalized notion of derivatives will be called \((q,p-h)\)-derivatives. This will produce \(q\)-derivative, \(h\)-derivative, \(q-h\)-derivative and \((p,q)\)-derivative. Theory based on all aforementioned derivatives can be generalized via this new notion. It is expected, this paper will be useful and beneficial for researchers working in diverse fields of sciences and engineering.

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On the largest real root of the independence polynomial of a unicyclic graph

ODAM-Vol. 5 (2022), Issue 3, pp. 30 – 46 Open Access Full-Text PDF
Iain Beaton and Ben Cameron

Abstract: We find the maximum and minimum connected unicyclic and connected well-covered unicyclic graphs of a given order with respect to \(\preceq\). This extends 2013 work by Csikv’ari where the maximum and minimum trees of a given order were determined and also answers an open question posed in the same work. Corollaries of our results give the graphs that minimize and maximize \(\xi(G)\) among all connected (well-covered) unicyclic graphs. We also answer more related open questions posed by Oboudi in 2018 and disprove a conjecture due to Levit and Mandrescu from 2008. The independence polynomial of a graph \(G\), denoted \(I(G,x)\), is the generating polynomial for the number of independent sets of each size. The roots of \(I(G,x)\) are called the independence roots of \(G\). It is known that for every graph \(G\), the independence root of smallest modulus, denoted \(\xi(G)\), is real. The relation \(\preceq\) on the set of all graphs is defined as follows, \(H\preceq G\) if and only if \(I(H,x)\ge I(G,x)\text{ for all }x\in [\xi(G),0].\)

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BOOK-foundations-of-mathematical-analysis-and-semigroups-theory
BOOK - NULL CONTROLLABILITY OF DEGENERATE AND NON-DEGENERATE SINGULAR PARABOLIC