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

On the solutions of nonlinear Caputo–Fabrizio fractional partial differential equations arising in applied mathematics

JPRM-Vol. 18 (2022), Issue 2, pp. 42 – 54 Open Access Full-Text PDF
Ali Khalouta
Abstract: This paper proposes a new semi-analytical method known as the variational iteration transform method (VITM) to obtain the solutions of the nonlinear Caputo–Fabrizio fractional partial differential equations arising in applied mathematics. For nonlinear equations in general, there is no method that gives an exact solution and, therefore, only approximate analytical solutions can be derived by using procedures such as linearization or perturbation. This method is combined form of the Aboodh transform and the variational iteration method. The advantage of VITM is the simplicity of the computations and the non-requirement of linearization or smallness assumptions. Moreover, this method enables us to overcome the difficulties arising in identifying the general Lagrange multiplier. For further illustrations of the efficiency and reliability of VITM, some numerical applications are pesented. The numerical results showed that the proposed method is efficient and precise to obtain the solutions of nonlinear fractional partial differential equations.
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On Split Equilibrium and Fixed Point Problems for Finite Family of Bregman Quasi-Nonexpansive Mappings in Banach spaces

JPRM-Vol. 18 (2022), Issue 2, pp. 23 – 41 Open Access Full-Text PDF
H. A. Abass, O. K. Narain, K. O. Oyewole, U. O. Adiele
Abstract: In this paper, we introduce a trifunction split equilibrium problem using a generalized relaxed α-monotonicity in the framework of p-uniformly convex and uniformly smooth Banach spaces. We develop an iterative algorithm for approximating a common solution of split equilibrium problem and fixed point problem for finite family of Bregman quasi-nonexpansive mappings. Using our iterative algorithm, we state and prove a strong convergence theorem for approximating a common solution of the aforementioned problems. Our iterative scheme is design in such a way that it does not require any knowledge of the operator norm. We display a numerical example to show the applicability of our result. Our result extends and complements some related results in literature.
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Generalized Identities and Inequalities of Čebyšev and Ky Fan Type for ∇−convex function

JPRM-Vol. 18 (2022), Issue 2, pp. 1 – 22 Open Access Full-Text PDF
Faraz Mehmood , Asif R. Khan
Abstract: In the present article we establish three generalizations, first generalization is related to discrete Čebyšev identity for function of higher order ∇ divided difference with two independent variables and give its special case as a sequence of higher order ∇ divided difference. Moreover, we deduce results of discrete inequality of Čebyšev involving higher order ∇−convex function. The second and third generalizations are for integral Čebyšev and integral Ky Fan identities for function of higher order derivatives with two independent variables and discuss its inequalities using ∇−convex function. Generalized results give similar results of Pěcari´c’s article [23] and recapture some established results.
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Quadrics with finite Chen-type Gauss map

JPRM-Vol. 18 (2022), Issue 1, pp. 96 – 107 Open Access Full-Text PDF
Hamza Alzaareer, Hassan Al-Zoubi, Farhan Abdel-Fattah
Abstract: In this article, we investigate the family of quadric surfaces in E3 according to its finite type Gauss map.We prove that spheres, circular cylinders, and planes are the only quadric surfaces with finite Chen type Gauss map corresponding to the first fundamental form I
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Lower interval-valued intuitionistic fuzzy separation axioms

JPRM-Vol. 18 (2022), Issue 1, pp. 83 – 95 Open Access Full-Text PDF
O. R. Sayed, N. H. Sayed, Nasruddin Hassan
Abstract: In this paper, some lower separation axioms in interval-valued intuitionistic fuzzy topological spaces are proposed. Furthermore, we pay some attention in determining the corresponding variations of them in intuitionistic fuzzy topological spaces. The four different types of the concepts of R◦-ness, T◦-ness and T1-ness separation axioms are developed and the corresponding R1-ness and T2-ness are defined. Also, some conclusions by establishing some results are drawn and several examples for illustration are provided.
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Volume 18 (2022)

Volume 17 (2021)

Volume 16 (2020)

Volume 15 (2019)

Volume 14 (2018)

Volume 13 (2017)

Volume 12 (2016)

Volume 11 (2015)

Volume 10 (2014)

Volume 09 (2013)

Volume 08 (2012)

Volume 07 (2011)

Volume 06 (2010)

Volume 05 (2009)

Volume 04 (2008)

Volume 03 (2007)

Volume 02 (2006)

Volume 01 (2005)