Open Access
Research Article·pp. 1231–1241·Vol. 27, Issue 6Sep 2024
Karam Adel Abed
Published Online: 30 Sep 2024DOI: 10.47974/JIM-1513 In this paper: This article’s aim is to investigate the fifth rank Sawada-kotera equation and get for approximate solution. Differential transform method was used, where the results were satisfactory and near to the...
Open Access
Research Article·pp. 1243–1255·Vol. 27, Issue 6Sep 2024
G. Rebiai, Badreddine Meftah
Published Online: 30 Sep 2024DOI: 10.47974/JIM-1741 In this paper: Convexity is one of the fundamental principles of analysis. In the last decades, many important inequalities are established for different classes of convex functions. In this paper, we propose to stu...
Open Access
Research Article·pp. 1257–1271·Vol. 27, Issue 6Sep 2024
Chabane Bedjguelel, Hacene Gharout, Bakir Farhi
Published Online: 30 Sep 2024DOI: 10.47974/JIM-1748 In this paper: This work focuses on a novel Beverton-Holt population model generalized by four parameters. The essential conditions for the existence and stability of equilibrium points, also known as fixed points,...
Open Access
Research Article·pp. 1273–1284·Vol. 27, Issue 6Sep 2024
Soner Aydinlik, Ahmet Kiris
Published Online: 30 Sep 2024DOI: 10.47974/JIM-1751 In this paper: We proposed a novel technique to obtain highly accurate solution to the problem of an irreversible exothermic chemical reaction occurring in an adiabatic tubular chemical reactor. The study also delve...
Open Access
Research Article·pp. 1285–1293·Vol. 27, Issue 6Sep 2024
Muhammad Nur, Harmanus Batkunde
Published Online: 30 Sep 2024DOI: 10.47974/JIM-1752 In this paper: The purpose of this article is to formulate the Dg-orthogonality using a 2-norm in normed spaces. We will prove the relations between the Dg-orthogonality and the g-orthogonality. Moreover, we study t...
Open Access
Research Article·pp. 1295–1318·Vol. 27, Issue 6Sep 2024
Narinder Kumar Wadhawan
Published Online: 30 Sep 2024DOI: 10.47974/JIM-1753 In this paper: Purpose of writing this paper is to solve a transcendental function containing product of a variable and its double exponential by a unique method of approximation. If the value of the said product...
Open Access
Research Article·pp. 1319–1337·Vol. 27, Issue 6Sep 2024
Chinedu Nwaigwe, Vishnu Narayan Mishra
Published Online: 30 Sep 2024DOI: 10.47974/JIM-1782 In this paper: This paper proposes a simple idea to speed-up the convergence of a fixed-point iteration for Fredholm equation defined on a mesh. First, the analytical problem is discretized by using quadrature rule...
Open Access
Research Article·pp. 1339–1359·Vol. 27, Issue 6Sep 2024
Besma Laouadi, Lila Benaoua, Taki Eddine Oussaeif, Xiaolan Liu
Published Online: 30 Sep 2024DOI: 10.47974/JIM-1783 In this paper: In this study, we enhance and generalize multiple findings in the field of fixed point theory within the context of metric spaces. We establish the existence of fixed points for self-maps denoted as A...
Open Access
Research Article·pp. 1361–1370·Vol. 27, Issue 6Sep 2024
Ahmed Anber, Zoubir Dahmani, Mehmet Zeki Sarikaya
Published Online: 30 Sep 2024DOI: 10.47974/JIM-1788 In this paper: The conformable fractional derivatives in the sense of Khalil is considered and the Homotopy analysis method and the (G’/G)-Expansion method are applied to solve the Klein-Gordon equation; new approxi...
Open Access
Research Article·pp. 1371–1381·Vol. 27, Issue 6Sep 2024
Yassine Laarichi, Mostafa Ftouhi, Driss Gretete
Published Online: 30 Sep 2024DOI: 10.47974/JIM-1798 In this paper: The hyperbolic tangent matrix function is a mathematical tool with diverse applications in various fields of mathematics, applied science, and engineering. The hyperbolic tangent matrix th(M), (M ∈ Mr...
Open Access
Research Article·pp. 1383–1404·Vol. 27, Issue 6Sep 2024
N. Abhilash, E. Nandakumar, G. Mittal, R. K. Sharma
Published Online: 30 Sep 2024DOI: 10.47974/JIM-1858 In this paper: In this paper, we discuss the structure of the unit groups of the semisimple group algebras of 10 non-metabelian group having orders 150, 160, 168 and 180, respectively. In particular, we consider the...
Open Access
Research Article·pp. 1405–1420·Vol. 27, Issue 6Sep 2024
Oualid Rholam, Barmaki Mohammed
Published Online: 30 Sep 2024DOI: 10.47974/JIM-1861 In this paper: Employing the framework of interval-valued functions (IVFs), we explore log-h-convex stochastic processes, unveiling a series of inequalities including Hadamard-Fejér, Hermite-Hadamard, and Jensen’s i...
Open Access
Research Article·pp. 1421–1435·Vol. 27, Issue 6Sep 2024
Aigerym Mazakova, Sholpan Jomartova, Talgat Mazakov, Gulzat Ziyatbekova, Aisulu Tursynbai
Published Online: 30 Sep 2024DOI: 10.47974/JIM-1897 In this paper: The application of mathematical methods in pharmacology is relevant for the development of accurate models of drug action and optimisation of their dosing, which increases the effectiveness of treatme...
Open Access
Research Article·pp. 1437–1447·Vol. 27, Issue 6Sep 2024
Mateus Alegri, José Luis López-Bonilla, P. Siva Kota Reddy
Published Online: 30 Sep 2024DOI: 10.47974/JIM-1903 In this paper: The main results of our paper are relations involving sums of Multiple Zeta Riemann functions (MZVs). Using the techniques described here, we found a simple relation for z({a}n) = z(a, a, ..., a^n) f...
Open Access
Research Article·pp. 1449–1459·Vol. 27, Issue 6Sep 2024
Halah A. Al-Alshaikh, Abhishek Kumar, Abdul Khader Jilani Saudagar, Ramesh Chandra Poonia
Published Online: 30 Sep 2024DOI: 10.47974/JIM-1993 In this paper: Virtual reality (VR) used in rehabilitation has the potential to enhance the quality of life for individuals with various medical conditions. As a result of this novel approach, there has been an incr...