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
Volume 28·Issue 4·June 2025·30 Articles

Volume 28, Issue 4

Articles

Open Access Research Article·pp. 1335–1354·Vol. 28, Issue 4Jun 2025

New type of fractional Langevin equations of sequential derivatives

Ouafaa Benhamida, Zoubir Dahmani

Published Online: 05 May 2025DOI: 10.47974/JIM-1781

In this paper: The aim of this work is in using Mittag-Leffler functions to study a new type of Langevin problems. We shall study the question of existence of unique solutions for a new type of fractional Langevin t...

AbstractReferencesFull Text PDF (312 KB)Views: 341Downloads: 135Citations: 0
Open Access Research Article·pp. 1355–1365·Vol. 28, Issue 4Jun 2025

Two classes of conformable fractional evolution problems solved by the U-EM method

Ahmed Anber, Zoubir Dahmani, Iqbal Jebril

Published Online: 05 May 2025DOI: 10.47974/JIM-1787

In this paper: In this paper, we apply the U-expansion method to finding new traveling wave solutions for two important classes of nonlinear fractional differential equations. The efficiency of this method is illust...

AbstractReferencesFull Text PDF (627 KB)Views: 224Downloads: 127Citations: 0
Open Access Research Article·pp. 1367–1384·Vol. 28, Issue 4Jun 2025

Geometry of hypersurfaces in Euclidean 4-space with Caputo fractional derivatives

Oumar Diop, Ameth Ndiaye

Published Online: 05 May 2025DOI: 10.47974/JIM-1794

In this paper: The aim of this paper is to generalize the paper in [7] in 4-dimensional Euclidean space. We define and calculate the geometries of hypersurface in an Euclidean four space using the Caputo fractional...

AbstractReferencesFull Text PDF (329 KB)Views: 233Downloads: 134Citations: 0
Open Access Research Article·pp. 1385–1396·Vol. 28, Issue 4Jun 2025

Solving nth order non-homogenous complex partial differential equation using two dimensional differential transform method

Amal Khalaf Haydar, Radhi A. Zaboon, Shatha S. Alhily

Published Online: 12 Jun 2025DOI: 10.47974/JIM-1879

In this paper: This paper utilizes two-dimensional differential transformation for some complex two-variables functions. A recurrence formula related to a complex partial differential equation of order n is presente...

AbstractReferencesFull Text PDF (215 KB)Views: 237Downloads: 137Citations: 2
Open Access Research Article·pp. 1397–1416·Vol. 28, Issue 4Jun 2025

Integer invariants of joint action of Boolean variables and their properties

Julia Nagrebetskaya, Vladimir Panov

Published Online: 06 Jun 2025DOI: 10.47974/JIM-1894

In this paper: The sufficient causes theory is a generally accepted way to describe causality in the biomedical sciences. This theory can be adequately formalized in the Boolean algebra framework. An important quest...

AbstractReferencesFull Text PDF (376 KB)Views: 188Downloads: 113Citations: 0
Open Access Research Article·pp. 1417–1428·Vol. 28, Issue 4Jun 2025

Absolute linear method of summation with weighted mean

Aradhana Dutt Jauhari, Alka Munjal, Santosh Kumar

Published Online: 08 Mar 2025DOI: 10.47974/JIM-1919

In this paper: The study uses a summability method is utilized to characterize the set (|R, pn, δ|k, |R, qn, δ|k) for k ≥ 1 and any arbitrary positive sequences (pn). Advanced results have been derived from previous...

AbstractReferencesFull Text PDF (504 KB)Views: 284Downloads: 129Citations: 0
Open Access Research Article·pp. 1429–1435·Vol. 28, Issue 4Jun 2025

Mathematical investigation of change in the size of a cancerous tumour when its cells are being destroyed by T-lymphocytes

Halyna M. Hubal

Published Online: 05 May 2025DOI: 10.47974/JIM-1994

In this paper: Mathematical investigation of change in the size of a cancerous tumour under the conditions of the body’s immune response is performed. When the cancerous tumour is attacked by T-lymphocytes, its canc...

AbstractReferencesFull Text PDF (127 KB)Views: 766Downloads: 140Citations: 0
Open Access Research Article·pp. 1437–1451·Vol. 28, Issue 4Jun 2025

Some necessary conditions for functional calculus in Besov-type spaces

Fares Bensaid, Mohamed Saadi

Published Online: 20 May 2025DOI: 10.47974/JIM-2032

In this paper: This paper is devoted to the study of composition operators, denoted as Tf(g) := f o g, under the scope of Besov-type spaces. Considering a complex variable function f acting on Besov-type space Bs,tp...

AbstractReferencesFull Text PDF (333 KB)Views: 293Downloads: 125Citations: 0
Open Access Research Article·pp. 1453–1488·Vol. 28, Issue 4Jun 2025

Mathematical modelling of the spread of Nipah virus in bats, humans and pigs

Malebese Mabotsa, Justin Manango Wazute Munganga

Published Online: 20 May 2025DOI: 10.47974/JIM-2060

In this paper: A mathematical model formulated using ordinary differential equations is proposed to study the dynamics of zoonotic Nipah virus in fruit bats (natural hosts of Nipah virus), pigs and humans. The prese...

AbstractReferencesFull Text PDF (984 KB)Views: 328Downloads: 129Citations: 0
Open Access Research Article·pp. 1489–1504·Vol. 28, Issue 4Jun 2025

A semi-analytical method to solve the Fitzhugh-Nagumo equation

Mahmoud H. Darassi, Omar Yasin, Mamoon Ahmed

Published Online: 02 Jun 2025DOI: 10.47974/JIM-2064

In this paper: In this paper, a solution of the FNE is approximated via the residual power series method, RPSM. To test the effectiveness of the RPSM, its approximation is compared with those obtained from the finit...

AbstractReferencesFull Text PDF (1.3 MB)Views: 216Downloads: 129Citations: 0
Open Access Research Article·pp. 1505–1516·Vol. 28, Issue 4Jun 2025

Planning a dynamical movement of patterns based on groups relations

Paz Amsellem, Shai Gul

Published Online: 21 May 2025DOI: 10.47974/JIM-2069

In this paper: Dynamical movement between different stages in a given product can be challenging. In this manuscript, we will show how groups relations indicate if exists dynamical movement between different stages...

AbstractReferencesFull Text PDF (1.0 MB)Views: 262Downloads: 135Citations: 0
Open Access Research Article·pp. 1517–1527·Vol. 28, Issue 4Jun 2025

On the solutions of second order difference equations with variable coefficients

Shirali Kadyrov, Nurdaulet Shynarbek, Alibek Orynbassar

Published Online: 02 Jun 2025DOI: 10.47974/JIM-2093

In this paper: In this article, we explore solutions to second-order linear difference equations featuring variable coefficients. By imposing mild conditions, we present closed-form solutions by utilizing finite con...

AbstractReferencesFull Text PDF (336 KB)Views: 274Downloads: 111Citations: 1
Open Access Research Article·pp. 1529–1536·Vol. 28, Issue 4Jun 2025

On fractional derivation and fractional convexity

Radouane Azennar, Sara Asbab, Khalid El Hajioui

Published Online: 19 May 2025DOI: 10.47974/JIM-2114

In this paper: Some novel applications of the conformable fractional derivative are presented. Indeed, we generalize the inverse function theorem and the Euler’s theorem. We also propose a definition of fractional c...

AbstractReferencesFull Text PDF (169 KB)Views: 164Downloads: 130Citations: 0
Open Access Research Article·pp. 1537–1551·Vol. 28, Issue 4Jun 2025

Power of Leslie matrices : Diagonalization and finite differences methods

Lucas S. C. de Sá, Aurelio R. L. de Oliveira, Elen V. P. Spreafico

Published Online: 06 Jun 2025DOI: 10.47974/JIM-2128

In this paper: This work presents a numerical comparison between the matrix diagonalization method and the finite differences method in the calculus of power Leslie matrix. Our aim is to determine the inherent advan...

AbstractReferencesFull Text PDF (482 KB)Views: 203Downloads: 125Citations: 0
Open Access Research Article·pp. 1553–1571·Vol. 28, Issue 4Jun 2025

An integrated approach of the numerical simulation of nonlinear equations by modified bisection and regula falsi method

Inderjeet, Rashmi Bhardwaj

Published Online: 06 Jun 2025DOI: 10.47974/JIM-2136

In this paper: This paper presents an integrated approach to the numerical simulation of non-linear algebraic and transcendental equations using modified versions of the Bisection and Regula Falsi methods. The study...

AbstractReferencesFull Text PDF (485 KB)Views: 331Downloads: 99Citations: 1
Open Access Research Article·pp. 1573–1580·Vol. 28, Issue 4Jun 2025

Telephone numbers extensions

Carlos M. Da Fonseca, Anthony G. Shannon

Published Online: 12 Jun 2025DOI: 10.47974/JIM-2148

In this paper: In this note we bring together in one place the recent extensions of telephone numbers using determinants from certain matrices. A common formula involving Hermite and relevant recurrence relations ar...

AbstractReferencesFull Text PDF (182 KB)Views: 345Downloads: 155Citations: 2
Open Access Research Article·pp. 1581–1594·Vol. 28, Issue 4Jun 2025

Common fixed point theorems in the function weighted b-metric spaces and its application

Budi Nurwahyu, Muhammad Nur, Naimah Aris, Jusmawati Massalesse, Muhammad Zakir

Published Online: 10 Jun 2025DOI: 10.47974/JIM-2152

In this paper: The aim of this paper is to propose and prove some properties and theorems of common fixed point in the function weighted b- metric spaces and its application, its space is a generalization of the fun...

AbstractReferencesFull Text PDF (497 KB)Views: 250Downloads: 125Citations: 0
Open Access Research Article·pp. 1595–1605·Vol. 28, Issue 4Jun 2025

Solvability and factorization of mixed problem for the heat conduction equation

Karashash Rustemova, Aigul Imanbaeva, Sabira Akhmetova, Assylzat Kopzhassarova

Published Online: 10 Jun 2025DOI: 10.47974/JIM-2154

In this paper: The study aims to analyse the solvability of mixed problems for the heat conduction equation. To achieve the objectives, analytical methods, methods of mathematical analysis of mixed problems and heat...

AbstractReferencesFull Text PDF (162 KB)Views: 237Downloads: 103Citations: 0
Open Access Research Article·pp. 1607–1622·Vol. 28, Issue 4Jun 2025

A view on Pythagorean fuzzy digital feeble topological spaces, nets and prefilters

N. Preethi, G. K. Revathi

Published Online: 05 May 2025DOI: 10.47974/JIM-2155

In this paper: The conceptualization of Pythagorean fuzzy digital feeble topological space (PFDFTS) is acquainted by applying new operations # , * with illustrations and its properties are analyzed. Adjacent to this...

AbstractReferencesFull Text PDF (663 KB)Views: 224Downloads: 114Citations: 0
Open Access Research Article·pp. 1623–1634·Vol. 28, Issue 4Jun 2025

Rings of continuous linear transformations on a topological vector space

Ajo Jose, N. M. Madhavan Namboothiri, Jineesh Thomas

Published Online: 03 Jun 2025DOI: 10.47974/JIM-2164

In this paper: A structural analysis of the ring CL(X) of all linear continuous transformations on a topological vector space X is presented here. It explores the algebraic cum topological properties of CL(X) in rel...

AbstractReferencesFull Text PDF (429 KB)Views: 268Downloads: 136Citations: 0
Open Access Research Article·pp. 1635–1642·Vol. 28, Issue 4Jun 2025

Impact to formula gradient impulse noise reduction from images

Yeldez J. Subhi, Basim A. Hassan

Published Online: 12 Jun 2025DOI: 10.47974/JIM-2187

In this paper: For the majority of image processing techniques and applications, denoising a photo is a must. The Taylor series is used to suggest a new conjugate gradient scalar. Together with the descent property,...

AbstractReferencesFull Text PDF (479 KB)Views: 233Downloads: 123Citations: 0
Open Access Research Article·pp. 1643–1647·Vol. 28, Issue 4Jun 2025

The convex and strictly convex on graphs

Zainab Flaih Hassan, Karrar Taher R. Aljamaly

Published Online: 12 Jun 2025DOI: 10.47974/JIM-2193

In this paper: The main goal of this paper introduces convex and strictly convex on graphs when 1 ≤ p < ∞. The convexity was discovered in ancient civilizations and developed in the over time by many scientists and...

AbstractReferencesFull Text PDF (427 KB)Views: 359Downloads: 135Citations: 0
Open Access Research Article·pp. 1649–1655·Vol. 28, Issue 4Jun 2025

Solution of Volterra fuzzy integral equations by using double fuzzy Aboodh transform

Samer Thaaban Abaas Alshibley, Alaa M. Abed, Shaymaa Maki Kadham

Published Online: 12 Jun 2025DOI: 10.47974/JIM-2195

In this paper: In this study, we resolve fuzzy convolution in two dimensions. By using the double fuzzy Aboodh transform method, Volterra integral equations are solved. Using the double FT-Aboodh method, when applie...

AbstractReferencesFull Text PDF (456 KB)Views: 200Downloads: 117Citations: 1
Open Access Research Article·pp. 1663–1671·Vol. 28, Issue 4Jun 2025

New result of soft topological space

Zainab Alhadawiaa, Ameer Al-Abayechib

Published Online: 12 Jun 2025DOI: 10.47974/JIM-2202

In this paper: In this paper, we introduced some new types of separation axioms; sb-separation axioms depending on the concept of boundaries, and also discussed the relationships among sb-separation axioms additiona...

AbstractReferencesFull Text PDF (422 KB)Views: 226Downloads: 114Citations: 0
Open Access Research Article·pp. 1673–1679·Vol. 28, Issue 4Jun 2025

Characterizations of IIS-Compactness space

Alyaa Yousef Khudayer Mutawek, Raghad Al-Mohammed, Luay A. Al-Swidi

Published Online: 12 Jun 2025DOI: 10.47974/JIM-2204

In this paper: The idea of the present study is based on the fundamental idea of defining a new set, which we called interior isolated set and the old topological concept of isolated point. Therefore, the topologica...

AbstractReferencesFull Text PDF (420 KB)Views: 187Downloads: 132Citations: 0
Open Access Research Article·pp. 1681–1687·Vol. 28, Issue 4Jun 2025

A novel transform technique in edges detection of cancer cells

Wisam Abbas Said, Shaymaa Maki Kadham

Published Online: 12 Jun 2025DOI: 10.47974/JIM-2221

In this paper: Integrated transforms are an important method for solving complex problems and converting these problems to simple problems that can be dealt with, physics and engineering applications. In this paper...

AbstractReferencesFull Text PDF (474 KB)Views: 179Downloads: 118Citations: 0
Open Access Research Article·pp. 1695–1701·Vol. 28, Issue 4Jun 2025

Complex Sadik integral transform of Bessel’s function of first kind

Sonia Sharma, Harish Nagar

Published Online: 12 Jun 2025DOI: 10.47974/JIM-2267

In this paper: The Laplace equation, the heat equation, the wave equation, and the Helmholtz equation in cylindrical or spherical coordinates are just a few of the numerous equations that may be solved using Bessel’...

AbstractReferencesFull Text PDF (456 KB)Views: 241Downloads: 122Citations: 0