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Journal of Prime Research in Mathematics

Journal of Prime Research in Mathematics (JPRM) ISSN: 1817-3462 (Online) 1818-5495 (Print) is an HEC recognized, Scopus indexed, open access journal which provides a plate forum to the international community all over the world to publish their work in mathematical sciences. JPRM is very much focused on timely processed publications keeping in view the high frequency of upcoming new ideas and make those new ideas readily available to our readers from all over the world for free of cost. Starting from 2020, we publish one Volume each year containing two issues in June and December. The accepted papers will be published online immediate in the running issue. All issues will be gathered in one volume which will be published in December of every year.

Latest Published Articles

Degree-based topological indices and polynomials of cellulose

JPRM-Vol. 17 (2021), Issue 1, pp. 70 – 83 Open Access Full-Text PDF
Abdul Jalil M. Khalaf, M.C. Shanmukha, A. Usha, K.C. Shilpa, Murat Cancan
Abstract: This work attempts to compute cellulose’s chemical structure using topological indices based on the degree and its neighbourhood. The study of graphs using chemistry attracts a lot of researchers globally because of its enormous applications. One such application is discussed in this work, where the structure of cellulose is considered for which the computation of topological indices and analysis of the same are carried out. A polymer is a repeated chain of the same molecule stuck together. Glucose is a natural polymer also called, Polysaccharide. The diet of the humans include fibre which contains cellulose but direct consumption of the same may not be digestible by them.
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On a third-order fuzzy difference equation

JPRM-Vol. 17 (2021), Issue 1, pp. 59 – 69 Open Access Full-Text PDF
Ibrahim Yalcinkaya, Nur Atak, Durhasan Turgut Tollu
Abstract: In this paper, we investigate the qualitative behavior of the fuzzy
difference equation
\begin{equation*}
z_{n+1}=\frac{z_{n-2}}{C+z_{n-2}z_{n-1}z_{n}}\
\end{equation*}
where \(n\in \mathbb{N}_{0}=\mathbb{N}\cup \left\{ 0\right\}\), \((z_{n})\) is a sequence of positive fuzzy numbers, \(C\) and initial conditions \(z_{-2},z_{-1},z_{0}\) are positive fuzzy numbers.
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Some Opial-type inequalities involving fractional integral operators

JPRM-Vol. 17 (2021), Issue 1, pp. 48 – 58 Open Access Full-Text PDF
Sajid Iqbal, Muhammad Samraiz, Shahbaz Ahmad, Shahzad Ahmad
Abstract: The core idea of this paper is to provide the Opial-type inequalities for Hadamard fractional integral operator and fractional integral of a function with respect to an increasing function \(g\). Moreover, related extreme cases and counter part of our main results are also given in the paper.
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Reversed degree-based topological indices for Benzenoid systems

JPRM-Vol. 17 (2021), Issue 1, pp. 40 – 47 Open Access Full-Text PDF
Abdul Jalil M. Khalaf, Abaid ur Rehman Virk, Ashaq Ali, Murat Cancan
Abstract: Topological indices are numerical values that correlate the chemical structures with physical properties. In this article, we compute some reverse topological indices namely reverse Atom-bond connectivity index and reverse Geometric-arithmetic index for four different types of Benzenoid systems.
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Determinant Spectrum of Diagonal Block Matrix

JPRM-Vol. 17 (2021), Issue 1, pp. 35 – 39 Open Access Full-Text PDF
Elif OTKUN CEVIK, Zameddin I. ISMAILOV
Abstract: It is known that in mathematical literature one of important questions of spectral theory of operators is to describe spectrum of diagonal block matrices in the direct sum of Banach spaces with the spectrums of their coordinate operators. This problem has been investigated in works [1] and [2]. Also for the singular numbers similar investigation has been made in [3]. In this paper the analogous question is researched. Namely, the relationships between \(\epsilon\)-determinat spectrums of the diagonal block matrices and their block matrices are investigated. Later on, some applications are given.
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Inequalities of Hardy-type for Multiple Integrals on Time Scales

JPRM-Vol. 17 (2021), Issue 1, pp. 21 – 34 Open Access Full-Text PDF
Dawood Ahmad, Khuram Ali Khan, Ammara Nosheen
Abstract: We extend some inequalities of Hardy-type on time scales for functions depending on more than one parameter. The results are proved by using induction principle, properties of integrals on time scales, chain rules for composition of two functions, Hölder’s inequality and Fubini’s theorem in time scales settings.
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Volume 20 (2024)

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Volume 19 (2023)

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Volume 18 (2022)

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Volume 17 (2021)

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Volume 16 (2020)

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Volume 15 (2019)

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Volume 14 (2018)

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Volume 13 (2017)

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Volume 12 (2016)

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Volume 11 (2015)

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Volume 10 (2014)

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Volume 09 (2013)

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Volume 08 (2012)

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Volume 07 (2011)

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Volume 06 (2010)

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Volume 05 (2009)

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Volume 04 (2008)

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Volume 03 (2007)

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Volume 02 (2006)

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Volume 01 (2005)

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