Peer-reviewed, citable articles published ahead of their issue.
Open Access
Research Article·pp. 1–15·Online FirstMay 2026
Zühal Küçükarslan Yüzbas, Ebru Cavlak Aslan, Dae Won Yoon
Published Online: 14 May 2026DOI: 10.47974/JIM-2443 In this paper: In this work, we study time evolution equations of null curves according to acceleration vector fields in Minkowski 3-space. First of all, we find a solution of the nonlinear system of time evolution...
Open Access
Research Article·pp. 1–9·Online FirstMay 2026
Stefan M. Stefanov
Published Online: 12 May 2026DOI: 10.47974/JIM-2401 In this paper: Some results concerning representation of convex sets are stated and proved.
Open Access
Research Article·pp. 1–13·Online FirstMay 2026
M. Ghorbel, S. Zouari
Published Online: 12 May 2026DOI: 10.47974/JIM-2224 In this paper: This paper aims to explore arithmetic properties in the set of p-adic β-integers. We show that the quantities Lʘ and L⊕ are finite if β is an algebraic integer of odd degree. Here, Lʘ (resp. L⊕) denot...
Open Access
Research Article·pp. 1–17·Online FirstMay 2026
Houas Mohamed, Maamar Benbachir
Published Online: 11 May 2026DOI: 10.47974/JIM-2158 In this paper: In the current paper, we study a nonlinear fractional differential problems with two arbitrary orders. The existence and uniqueness of solutions for the considered problem by applying a number of fixe...
Open Access
Review Article·pp. 1–15·Online FirstMay 2026
Kallal Pal, Sumit Chandok
Published Online: 09 May 2026DOI: 10.47974/JIM-2383 In this paper: In this paper, we introduce the notion of ρλ-orthogonality via 2-normed derivatives and discuss some of its essential geometric properties in the context of 2-𝒩𝒮. Moreover, we also discuss the relatio...
Open Access
Research Article·pp. 1–17·Online FirstMay 2026
M. Yaremenko
Published Online: 09 May 2026DOI: 10.47974/JIM-2236 In this paper: The article is dedicated to the investigation of existence of weak solutions to a quasilinear elliptic equation involving terms with variable exponents –d/dxi ai (x, u, ∇u) – λb (x) |u|p(x) − 2 u = f...
Open Access
Research Article·pp. 1–15·Online FirstMay 2026
I. Y. Popov, N. A. Perezhogin, A. I. Popov
Published Online: 09 May 2026DOI: 10.47974/JIM-2177 In this paper: Model of point-like source of earthquake is suggested in the framework of PREM model of the Earth. The Earth is considered to be composed of two liquid (ocean and the outer core) and six solid layers....
Open Access
Research Article·pp. 1–14·Online FirstMay 2026
Houas Mohamed
Published Online: 09 May 2026DOI: 10.47974/JIM-2137 In this paper: In this article, we study a Duffing problem include two sequential fractional derivatives, we prove the existence and uniqueness results using some classical fixed point theorems. The UML-stability of...
Open Access
Research Article·pp. 1–31·Online FirstMay 2026
Youssef Essadaoui, Amine Laghrib, Imad Hafidi
Published Online: 09 May 2026DOI: 10.47974/JIM-2335 In this paper: In this paper, we investigate the dynamic behavior of a lubricated mechanism in the incompressible case. The goal is to develop a mathematical model that describes the motion of the upper surface, bas...
Open Access
Research Article·pp. 1–6·Online FirstApr 2026
Stefan M. Stefanov
Published Online: 07 Apr 2026DOI: 10.47974/JIM-2447 In this paper: The quasiconvex functions are considered, and some properties of these functions are stated and proved in this paper.
Open Access
Research Article·pp. 1–18·Online FirstApr 2026
Satyawan L. Dhondge, Vaijanath L. Chinchane, Gajendra R. Gandhe, Manisha B. Sakhare, Sabri T. M. Thabet, Imed Kedim
Published Online: 06 Apr 2026DOI: 10.47974/JIM-2424 In this paper: This paper explores the mathematical modeling of thermoelastic stress in a perfectly clamped metallic rod using the Adomian Decomposition Method (ADM). The study focuses on formulating and solving the...
Open Access
Research Article·pp. 1–8·Online FirstApr 2026
Stefan M. Stefanov
Published Online: 02 Apr 2026DOI: 10.47974/JIM-2198 In this paper: In this paper, the applications of fuzzy sets to decision making are considered. The Bellman-Zadeh approach is discussed, and decision making in the set of alternatives is studied. This paper is conti...
Open Access
Research Article·pp. 1–7·Online FirstApr 2026
Stefan M. Stefanov
Published Online: 01 Apr 2026DOI: 10.47974/JIM-2388 In this paper: In this paper, extreme points of the convex sets are considered. Some properties of the extreme points are stated and proved.
Open Access
Research Article·pp. 1–16·Online FirstApr 2026
M. H. M. Rashid
Published Online: 01 Apr 2026DOI: 10.47974/JIM-2066 In this paper: This work explores new upper bounds for the q-numerical radius of Y ∈ L(K), extending and strengthening existing advancements in the field. Specific instances of q-numerical radius inequalities for op...
Open Access
Research Article·pp. 1–23·Online FirstMar 2026
Khalid Bouabid, Hayat Ben Ennia, Rachid Echarghaoui
Published Online: 30 Mar 2026DOI: 10.47974/JIM-2331 In this paper: Using concentration estimates along with the Fountain Theorem and its dual form, we establish the existence of two infinite and disjoint sets of solutions for the following Neumann elliptic system inv...
Open Access
Research Article·pp. 1–18·Online FirstMar 2026
Yapeng Shi, Yuqiang Feng, Jicheng Yu
Published Online: 28 Mar 2026DOI: 10.47974/JIM-2325 In this paper: Herein, we extend the framework of Lie symmetry group theory and conservation laws to analyze the (2+1)-dimensional time-fractional Sakovich equation ((2+1)D-TFSE). The distinctive feature of this equ...
Open Access
Research Article·pp. 1–12·Online FirstMar 2026
Usaamah Obaidullah, B. Gwaxa
Published Online: 27 Mar 2026DOI: 10.47974/JIM-2159 In this paper: This work investigates a nonlinear European option pricing equation under a continuous-time Capital Asset Pricing Model. In particular, we determine its point symmetries and thereby find analytical so...
Open Access
Research Article·pp. 1–13·Online FirstMar 2026
Mehmet Pakdemirli
Published Online: 26 Mar 2026DOI: 10.47974/JIM-2339 In this paper: A new function, namely the Gamma Interval Function is defined first. The function is used in modelling physically inspired problems of first and second order differential equations. The differential e...
Open Access
Research Article·pp. 1–17·Online FirstMar 2026
Mustapha Maadani, Abdelkader Benali, Aissa Nasli Bakir
Published Online: 26 Mar 2026DOI: 10.47974/JIM-2266 In this paper: This paper introduces a novel class of operators in semi-Hilbertian spaces, termed class Ak# operators, which generalizes the well-studied A-hyponormal operators and extends recent developments in ope...