Open Access
Research Article·pp. 1703–1722·Vol. 28, Issue 5Aug 2025
Chatsuda Chanmanee, Ronnason Chinram, Rukchart Prasertpong, Pongpun Julatha, Aiyared Iampan
Published Online: 13 Aug 2025DOI: 10.47974/JIM-1722 In this paper: This article delves into the innovative application of the internal direct product (IDP) in the framework of UP (BCC)-algebras, introducing two novel types: the standard IDP and the anti-internal dire...
Open Access
Research Article·pp. 1723–1734·Vol. 28, Issue 5Aug 2025
R. D. Mohanraj, C. Rajesh
Published Online: 28 Aug 2025DOI: 10.47974/JIM-2142 In this paper: In this article, we proved fixed point theorems using contraction mappings in the metric space. Specifically, we deal among the space of multiplicative metric in which we obtain fixed point using the...
Open Access
Research Article·pp. 1735–1758·Vol. 28, Issue 5Aug 2025
Hafiza Fakarul Nisa, Sadia Khalil, Sat Gupta
Published Online: 01 Aug 2025DOI: 10.47974/JIM-1743 In this paper: In this study, we present generalized mean estimators aimed at tackling the challenges associated with non-sampling errors in sensitive survey data. Our approach utilizes both full and optional Random...
Open Access
Research Article·pp. 1759–1777·Vol. 28, Issue 5Aug 2025
Amel Benaissa, Fatima Bouazzaoui, Abdelkrim Salim, Mouffak Benchohra
Published Online: 05 May 2025DOI: 10.47974/JIM-1789 In this paper: Our aim in this work is to study the existence of S-asymptotically δ1-periodic mild almost automorphic solutions of a random functional evolution equation with infinite delay and random effects with r...
Open Access
Research Article·pp. 1779–1793·Vol. 28, Issue 5Aug 2025
Mehri Hasani, Masoud Ghods
Published Online: 10 Jun 2025DOI: 10.47974/JIM-1791 In this paper: This research study focuses on the theoretical examination of the fuzzy graph of aromatic hydrocarbon naphthalene. It introduces new definitions for the first Zagreb fuzzy index, forgotten index, and...
Open Access
Research Article·pp. 1795–1806·Vol. 28, Issue 5Aug 2025
V. J. Shaalini, S. E. Fadugba
Published Online: 08 Mar 2025DOI: 10.47974/JIM-2033 In this paper: This paper proposes an improved Ratio Method (IRM) to tackle Delay Differential Equations (DDEs) by employing a rational-type interpolating function. The Lagrange interpolation was used for approximat...
Open Access
Research Article·pp. 1807–1812·Vol. 28, Issue 5Aug 2025
Sara Asbab, Radouane Azennar, Khalid El Hajioui
Published Online: 14 Aug 2025DOI: 10.47974/JIM-2061 In this paper: Our objective here is to present some novel applications of the conformable fractional derivative. Especially, the inverse function theorem is generalized.
Open Access
Research Article·pp. 1813–1824·Vol. 28, Issue 5Aug 2025
Carlos Carpintero, Neelamegarajan Rajesh, Ennis Rosas, José Sanabria
Published Online: 13 Aug 2025DOI: 10.47974/JIM-2062 In this paper: Using the notion of ideal bitopological space we introduce the (k, l)-almost (K, L)-continuous functions and obtain several properties of this functions and finally we obtain some relationships with a...
Open Access
Research Article·pp. 1825–1835·Vol. 28, Issue 5Aug 2025
Mbakiso F. Mothebe, Dintle N. Kagiso, Ben T. Modise
Published Online: 13 Aug 2025DOI: 10.47974/JIM-2095 In this paper: For n ≥ 1 let pn denote the nth prime number. Let S = {1, 7, 11, 13, 17, 19, 23, 29}, the set of positive integers which are both less than and relatively prime to 30. For x ≥ 0, let Tx := {30x + i |...
Open Access
Research Article·pp. 1837–1845·Vol. 28, Issue 5Aug 2025
Inderjeet, Rashmi Bhardwaj
Published Online: 21 Aug 2025DOI: 10.47974/JIM-2138 In this paper: In computational mathematics, numerical integration is an essential method that yields effective approximations of definite integrals. The trapezoidal technique is one of the most popular numerical i...
Open Access
Research Article·pp. 1847–1857·Vol. 28, Issue 5Aug 2025
J. Balamurugan, C. Rajesh
Published Online: 28 Aug 2025DOI: 10.47974/JIM-2141 In this paper: This paper is based on the idea of unique fixed points as the result of weakly contractive maps in the structure of asymmetric b−metric spaces. Moreover, provided to illustrate the broader implication...
Open Access
Research Article·pp. 1859–1870·Vol. 28, Issue 5Aug 2025
Chatsuda Chanmanee, Ronnason Chinram, Pannawit Khamrot, Pongpun Julatha, Aiyared Iampan
Published Online: 18 Jun 2025DOI: 10.47974/JIM-1730 In this paper: The external direct product (EDP) of BG-algebras, a generalisation of the direct product (DP) in the sense of Widianto, Gemawati, and Kartini [10], is a term we present in this study. In addition, we...
Open Access
Research Article·pp. 1871–1879·Vol. 28, Issue 5Aug 2025
N. Racshitha, R. Manimaran
Published Online: 28 Aug 2025DOI: 10.47974/JIM-2143 In this paper: In this study, we have examined a stochastic delay differential equation in one dimension. We employed the Runge-Kutta method along with the method of lines to address the issue, establishing stabilit...
Open Access
Research Article·pp. 1881–1891·Vol. 28, Issue 5Aug 2025
Stalin Thangamani, S. Thalapathiraj, A. Britto Manoj, R. Balakumar
Published Online: 28 Aug 2025DOI: 10.47974/JIM-2144 In this paper: We introduce and examine certain bi-univalent functions subclasses connected polylogarithm function. The convolution of two well-known differential operators define the new differential operator. By u...
Open Access
Research Article·pp. 1893–1899·Vol. 28, Issue 5Aug 2025
K. Hemavathy, S. Thalapathiraj
Published Online: 28 Aug 2025DOI: 10.47974/JIM-2145 In this paper: This research explores f.p theorems by utilizing weakly compatible mappings in 2-m.s, focusing on contractive conditions of the integral type. By broadening the notion of compatibility, the study demo...
Open Access
Research Article·pp. 1901–1908·Vol. 28, Issue 5Aug 2025
Stefan M. Stefanov
Published Online: 14 Aug 2025DOI: 10.47974/JIM-2160 In this paper: The discrete and continuous Markov processes and Markov chains are considered. Basic concepts are introduced, and some applications of Markov processes are considered.
Open Access
Research Article·pp. 1909–1930·Vol. 28, Issue 5Aug 2025
I. R. Sumathi, Augus Kurian, V. Deva Tharsini, Omaima Al-Shanqiti
Published Online: 14 Aug 2025DOI: 10.47974/JIM-2174 In this paper: This study aims to explore Weber aggregation operations by utilizing Weber t-norms and t-conorms of single-valued neutrosophic sets (SVNS). We define and elucidate single-valued (SV) neutrosophic Webe...
Open Access
Research Article·pp. 1931–1939·Vol. 28, Issue 5Aug 2025
Mohamed Benallia, Mohamed Dilmi
Published Online: 13 Aug 2025DOI: 10.47974/JIM-2181 In this paper: This paper aims to establish a new regularity criterion for weak solutions to the three-dimensional (3D) Boussinesq equations in the homogeneous Besov spaces Ḃsp,q (ℝ3) and the homogeneous Triebel–Liz...
Open Access
Research Article·pp. 1941–1954·Vol. 28, Issue 5Aug 2025
Kanat Tulenbayev, Gulnaz Karybayeva, Assem Zhadyranova
Published Online: 19 Aug 2025DOI: 10.47974/JIM-2182 In this paper: The aim of the study is to prove the existence of functions satisfying a quasilinear elliptic equation of general form and satisfying the given boundary conditions in Sobolev spaces. Methods of functi...
Open Access
Research Article·pp. 1955–1971·Vol. 28, Issue 5Aug 2025
Jomal Josen, Sunil Jacob John, Jobish Vallikkavungal
Published Online: 14 Aug 2025DOI: 10.47974/JIM-2183 In this paper: This paper investigates the categorical framework for generalized multi-dimensional fuzzy sets, extending Zadeh’s original theory. We introduce a generalized variant where the co-domain is a partially...
Open Access
Research Article·pp. 1973–1980·Vol. 28, Issue 5Aug 2025
Kaboon Thongtha, Nopparat Pochai
Published Online: 19 Aug 2025DOI: 10.47974/JIM-2184 In this paper: In environmental research, challenges with water contamination assessment are generally prevalent. Through data collection, pollution levels in a system may be determined. This is quite challenging an...
Open Access
Research Article·pp. 1981–1988·Vol. 28, Issue 5Aug 2025
Aqeel Mohammed Hussein
Published Online: 28 Aug 2025DOI: 10.47974/JIM-2192 In this paper: This study presents an illustration of the triple maximal absolute young function as determined by paranormed triple sequence spaces. It also discusses several properties, such as (U3 )[y, g, 𝓹], (U03...
Open Access
Research Article·pp. 1989–1998·Vol. 28, Issue 5Aug 2025
Z. Faiz, Jinlan Pan’s, H. Benaissa
Published Online: 13 Aug 2025DOI: 10.47974/JIM-2199 In this paper: This paper explores an analytical framework for an incompressible Bingham-type fluid (IBTF) within a bounded domain. The incompressible fluid model is expressed in its distributional form, which is fo...
Open Access
Research Article·pp. 1999–2003·Vol. 28, Issue 5Aug 2025
Shaymaa Y. Alkufi, Ohood Ayyed Hadi Al-Gburi, Hussein Jeddoa Mehdi
Published Online: 28 Aug 2025DOI: 10.47974/JIM-2222 In this paper: The fields of scientific and engineering depend heavily on fuzzy partial integro-differential equations for their operations. The proposed solution for fuzzy partial differential equations utilizes th...
Open Access
Research Article·pp. 2005–2010·Vol. 28, Issue 5Aug 2025
Sirawich Luengaksorn, Ronnason Chinram
Published Online: 27 Aug 2025DOI: 10.47974/JIM-2228 In this paper: Our purpose of this paper is to find integer solutions n, p, x, y and z for the Diophantine equation nx + (7p)y = z2 where n is positive, p is prime and x, y . z are non-negative.
Open Access
Research Article·pp. 2011–2023·Vol. 28, Issue 5Aug 2025
Mashrabjon Mamatov, Nodirbek Karimov, Sokhibjan Muminov, Shokhista Sharipova
Published Online: 28 Aug 2025DOI: 10.47974/JIM-2239 In this paper: This article presents a mathematical model of the process of delayed combat operations, in which the actions of two sides are delayed by a certain amount of time, based on the interaction of opposing...
Open Access
Research Article·pp. 2025–2030·Vol. 28, Issue 5Aug 2025
Irshad Ayoob
Published Online: 18 Aug 2025DOI: 10.47974/JIM-2240 In this paper: A sequence of rational points (P1, P2, P3,…) on a circle is said to constitute an r-geometric progression if either the sequence of their x-coordinates {a1, a2, a3,…} or their y-coordinates {b1, b2, b...
Open Access
Research Article·pp. 2031–2043·Vol. 28, Issue 5Aug 2025
Kaboon Thongtha, Nopparat Pochai
Published Online: 27 Aug 2025DOI: 10.47974/JIM-2265 In this paper: The problem of wastewater from shrimp farming affects the environment, both in terms of wastewater discharge and soil deterioration. Wastewater management is also quite expensive for the production co...
Open Access
Research Article·pp. 2045–2057·Vol. 28, Issue 5Aug 2025
P. Kittisuwan, C. Siwapornanan, P. Akkaraekthalin
Published Online: 27 Aug 2025DOI: 10.47974/JIM-2270 In this paper: The iterative shrinkage/thresholding algorithm (ISTA) with the regularizer gives good efficiency to solve the linear inverse problem. In fact, the maximum a posteriori (MAP) estimator with the probabi...