TARU PUBLICATIONS
Journal of Interdisciplinary Mathematics cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

Issues up to 2022 co-published with and available at:Taylor & Francis Online
submissions@tarupublications.com
Taru Online First

Online First Articles

Peer-reviewed, citable articles published ahead of their issue.

Open Access Research Article·pp. 1–15·Online FirstMay 2026

Geometric flows along acceleration vector field of null curves

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...

AbstractReferencesFull Text PDF (582 KB)Views: 107Downloads: 142Citations: 0
Open Access Research Article·pp. 1–13·Online FirstMay 2026

On the fractional part of the sum and product of two p-adic β-integers 

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...

AbstractReferencesFull Text PDF (530 KB)Views: 128Downloads: 164Citations: 0
Open Access Research Article·pp. 1–17·Online FirstMay 2026

Solvability and stability of nonlinear differential problems with two fractional Caputo derivatives

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...

AbstractReferencesFull Text PDF (389 KB)Views: 130Downloads: 125Citations: 0
Open Access Review Article·pp. 1–15·Online FirstMay 2026

Smoothness via Geometry of orthogonality functional using 2-norm derivatives

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...

AbstractReferencesFull Text PDF (844 KB)Views: 73Downloads: 128Citations: 0
Open Access Research Article·pp. 1–17·Online FirstMay 2026

Elliptic partial differential equations involving variable exponential operators with supercritical growth in variable exponential Lebesgue spaces

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...

AbstractReferencesFull Text PDF (506 KB)Views: 148Downloads: 123Citations: 0
Open Access Research Article·pp. 1–15·Online FirstMay 2026

Green’s function in PREM model of the Earth for investigation of seismic waves

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....

AbstractReferencesFull Text PDF (503 KB)Views: 131Downloads: 104Citations: 0
Open Access Research Article·pp. 1–14·Online FirstMay 2026

Existence and UML-stability results for fractional Duffing equation with sequential Caputo-Riemann-Liouville derivatives

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...

AbstractReferencesFull Text PDF (356 KB)Views: 128Downloads: 127Citations: 0
Open Access Research Article·pp. 1–31·Online FirstMay 2026

Mathematical modeling and numerical analysis of dynamic behavior in lubricated mechanisms : Case of Reynolds equation

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...

AbstractReferencesFull Text PDF (1.2 MB)Views: 115Downloads: 117Citations: 0
Open Access Research Article·pp. 1–18·Online FirstApr 2026

Study of thermoelasticity mathematical modeling via the Adomian decomposition method

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...

AbstractReferencesFull Text PDF (745 KB)Views: 191Downloads: 106Citations: 0
Open Access Research Article·pp. 1–23·Online FirstMar 2026

Infinitely many solutions for a Neumann elliptic system with critical exponents and hardy potentials

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...

AbstractReferencesFull Text PDF (691 KB)Views: 174Downloads: 119Citations: 0
Open Access Research Article·pp. 1–18·Online FirstMar 2026

On the (2+1)-dimensional time-fractional Sakovich equation : Lie symmetry analysis, exact solutions, and conservation laws

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...

AbstractReferencesFull Text PDF (390 KB)Views: 159Downloads: 107Citations: 0
Open Access Research Article·pp. 1–12·Online FirstMar 2026

Invariant solutions of a European option pricing equation under a continuous-time capital asset pricing model

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...

AbstractReferencesFull Text PDF (570 KB)Views: 152Downloads: 111Citations: 0
Open Access Research Article·pp. 1–13·Online FirstMar 2026

Modeling and solving applied differential equations in Physics by Gamma interval functions

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...

AbstractReferencesFull Text PDF (404 KB)Views: 109Downloads: 111Citations: 0
Open Access Research Article·pp. 1–17·Online FirstMar 2026

On class Ak# operators in semi-Hilbertian spaces

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...

AbstractReferencesFull Text PDF (361 KB)Views: 106Downloads: 124Citations: 0