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 29·Issue 5-B·May 2026·41 ArticlesSpecial Issue

Volume 29, Issue 5-B

Articles

Open Access Research Article·pp. i–viii·Vol. 29, Issue 5-BMay 2026

Special Issue on Advances in Modern Mathematics and Computational Methods (Part-B)

Suresh Rasappan, Ahmed J. Obaid, Shaymaa Maki Kadham

Published Online: 27 Jun 2026DOI: 10.47974/JIM-29-5-B-Foreword

In this paper: In this special issue titled “Advances in Modern Mathematics and Computational Methods”, we explore how mathematical concepts relate to their applications across various fields, including Nonlinear An...

AbstractFull Text PDF (146 KB)Views: 168Downloads: 117Citations: 0
Open Access Research Article·pp. 1399–1405·Vol. 29, Issue 5-BMay 2026

The fractional ZMA-transform for solving first and second order linear fractional differential equations

Zainab Mohammed Alwan

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2525

In this paper: For the work on paper, prepare new techniques by constructing a new definition called the fractional ZMA-transform (FZMAT). These techniques are used to make a solution to a fractional differential eq...

AbstractReferencesFull Text PDF (381 KB)Views: 181Downloads: 138Citations: 0
Open Access Research Article·pp. 1407–1415·Vol. 29, Issue 5-BMay 2026

On a fuzzy statistically convergent in 2-norm (Fsc2n- Convergent) in a fuzzy 2-normed Riesz spaces and some properties 

Shaimaa Abdul-Hussein Kadhim, Shatha Abdul-Hussein Kadhim, Mohammed Yahya Abed

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2531

In this paper: In this paper, we will be discussing fuzzy statistically convergent in 2-norm in a fuzzy 2-normed Riesz spaces. We also define the notion of a Fsc2n- Cauchy in fuzzy 2-normed Riesz spaces and establis...

AbstractReferencesFull Text PDF (554 KB)Views: 131Downloads: 111Citations: 0
Open Access Research Article·pp. 1417–1423·Vol. 29, Issue 5-BMay 2026

Structural novel properties of generalized quasi-fuzzy soft paranormal operators in Hilbert spaces domain

Salim Dawood Mohsen, Mohammed Jassim Mohammed

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2527

In this paper: This article introduces a new and extended concept of quasi-fuzzy soft paranormal operators of great importance in pure mathematics, called (𝕜 – Ω) – quasi-fuzzy soft paranormal operators) in brief  “...

AbstractReferencesFull Text PDF (595 KB)Views: 123Downloads: 109Citations: 0
Open Access Research Article·pp. 1425–1431·Vol. 29, Issue 5-BMay 2026

Orbitally convergent of inverse shadowing property on G-spaces

May A. A. Al-Yaseen, Hayder Kadhim Zghair, Raad Safah Abood

Published Online: 26 Jun 2026DOI: 10.47974/JIM-2529

In this paper: The sufficient conditions were obtained under which the uniform convergence of mappings shows a dynamical behavior at a point of inverse shadowing in G-space. Since orbital convergence is stronger tha...

AbstractReferencesFull Text PDF (454 KB)Views: 223Downloads: 122Citations: 0
Open Access Research Article·pp. 1433–1439·Vol. 29, Issue 5-BMay 2026

Using FP-transforms to solve a system of Canes blood of skin

Dhfar Zuheir Ali, Layla Hindi, Maani A. Saeed

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2530

In this paper: Partial differential equations are used profoundly in scientific and engineering fields. This paper presents the application of the FP-transform in solving FPDEs. The first and second-order FPD formul...

AbstractReferencesFull Text PDF (474 KB)Views: 118Downloads: 124Citations: 0
Open Access Research Article·pp. 1441–1449·Vol. 29, Issue 5-BMay 2026

Investigations into quasi-hyponormal operators through the lens of Drazin inverse theory within the framework of fuzzy soft set theory 

Salim Dawood Mohsen, Zaid Rajih Hamza

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2526

In this paper: This research aims to provide a generalization of an advanced class in the fields of fuzzy soft theory and operator theory, which is highlights a new class of fuzzy soft quasi-hyponormal operator via...

AbstractReferencesFull Text PDF (547 KB)Views: 129Downloads: 96Citations: 0
Open Access Research Article·pp. 1451–1458·Vol. 29, Issue 5-BMay 2026

On ∾ℇ-volterra and weakly ∾ℇ-volterra via ∾-topological space and applications

Mustafa Hasan Hadi, L. A. A. Jabar

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2532

In this paper: In this paper, we will study some of the properties of the operator Ԑ(Ⱨ) with respect to ∾- a topological space defined by a cluster system, some of which are unconditionally true and others are condi...

AbstractReferencesFull Text PDF (610 KB)Views: 141Downloads: 141Citations: 0
Open Access Research Article·pp. 1459–1465·Vol. 29, Issue 5-BMay 2026

Some application fixed point in r-convex 𝔖𝒷 - metric spaces

Dhuha Abdulameer Kadhim, Zainab Hasan Abood, Sada Faydh Mohammed

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2533

In this paper: A notion for convex structures on metric space, first introduce by Takahashi [1] and has become an important part of the theory of fixed points and nonlinear analysis. This framework can be generalize...

AbstractReferencesFull Text PDF (541 KB)Views: 158Downloads: 118Citations: 0
Open Access Research Article·pp. 1467–1473·Vol. 29, Issue 5-BMay 2026

Oscillation proportions for a second order linear neutral difference equation together with negative and positive coefficients

Sattar Naser Ketab, Wafaa Zuhar Hemead

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2534

In this paper: The framework for necessary and sufficient conditions was created to guarantee oscillatory behavior for each linear solution of a neutral delay difference equation. We have also examined the propertie...

AbstractReferencesFull Text PDF (432 KB)Views: 145Downloads: 88Citations: 0
Open Access Research Article·pp. 1475–1486·Vol. 29, Issue 5-BMay 2026

A comparative study of approximate solutions to solving second-order linear complex partial differential equations 

Raad A. Obaid, Murtadha A. Kadhim, Alaa M. Abed

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2535

In this paper: This study addresses linear complex partial differential equations (LCPDEs), which constitute vital mathematical frameworks across diverse fields in physics and applied science. We utilize the modifie...

AbstractReferencesFull Text PDF (664 KB)Views: 132Downloads: 117Citations: 0
Open Access Research Article·pp. 1487–1496·Vol. 29, Issue 5-BMay 2026

A novel integral rule that uses the Nk1 rule to numerically compute the values of double integrals

Nada A. M. Al-Karamy, Rana Hasan Hilal, Zainab Imran Mousa

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2537

In this paper: The aims for the work are to derive a numerical method to find a value for the double integral, which is integrable either continuously or continuously, but its derivative is singular or singular at o...

AbstractReferencesFull Text PDF (599 KB)Views: 159Downloads: 118Citations: 0
Open Access Research Article·pp. 1497–1502·Vol. 29, Issue 5-BMay 2026

Solving the liquid tank system by generalization FAT

Azhar Ali Abbas, Masar F. Jabbar, Mohammed A. Wannas

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2538

In this paper: In this work, we presented a generalization of FAT and proved some of the properties of (FAT). Eng. We also derive the FAT of fuzzy derivatives up to the third order and further generalize the said fo...

AbstractReferencesFull Text PDF (440 KB)Views: 175Downloads: 112Citations: 0
Open Access Research Article·pp. 1503–1507·Vol. 29, Issue 5-BMay 2026

A novel analytical approach to solve some applications of nonlinear problems

Huda Omran Altaie, Buthyna Najad Shihab, Hatam Y. Khalaf

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2539

In this paper: The Temimi and Ansari Technique (TAM), a new and powerful analytical method, has been proposed for solving nonlinear problems. As demonstrated by the findings, the method converges to the correct solu...

AbstractReferencesFull Text PDF (413 KB)Views: 121Downloads: 121Citations: 0
Open Access Research Article·pp. 1509–1513·Vol. 29, Issue 5-BMay 2026

Some applications of nonlinear fractional differential equations by modified Elzaki transform

Huda Omran Altaie, Hatam Y. Khalaf, Buthyna Najad Shihab

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2540

In this paper: An major goal for this work is to propose a modified technique, the Elzaki Adomain Decomposition Method (ETADM), an iterative analytical approach that yields approximate analytical solutions for certa...

AbstractReferencesFull Text PDF (515 KB)Views: 189Downloads: 103Citations: 0
Open Access Research Article·pp. 1515–1518·Vol. 29, Issue 5-BMay 2026

Convergence of fractional differential equations using efficient technique

Adel Rashed A. Ali

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2541

In this paper: Differential equations play a role in Applied Physics; it’s not always feasible to find analytical solutions for nonlinear partial differential equations when dealing with certain phenomena. In this i...

AbstractReferencesFull Text PDF (278 KB)Views: 153Downloads: 87Citations: 0
Open Access Research Article·pp. 1519–1524·Vol. 29, Issue 5-BMay 2026

A new coupled natural transform and Adomian decomposition technique to solve some models of PDEs

Ahmed Najah Abdulhadi, Huda Omran Altaie

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2542

In this paper: Coupled NT and Decomposition technique (NTADM), is a powerful methodology for dealing with PDEs. The technique used NT to eliminate the time of the driving equation, whereas ADM tackles nonlinear vari...

AbstractReferencesFull Text PDF (649 KB)Views: 203Downloads: 121Citations: 0
Open Access Research Article·pp. 1525–1530·Vol. 29, Issue 5-BMay 2026

The linear dynamical systems with the fitting shadowing property

Dunia M. K. Al-Ftlawy, Raghad Almohammed, May A. A. Al-Yaseen

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2561

In this paper: In dynamical systems theory, the concept of shadowing refers to the ability to approximate a pseudo-orbit (PO) by an actual orbit of the system. The accuracy of this approximation depends on the speci...

AbstractReferencesFull Text PDF (375 KB)Views: 133Downloads: 118Citations: 0
Open Access Research Article·pp. 1531–1535·Vol. 29, Issue 5-BMay 2026

Approximate solutions of random ordinary differential models using modified Sumudu transform

Ayman Kaled, Huda Omran Altaie

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2544

In this paper: An efficient combination of ADM and the Sumudu transformation for solving random ordinary differential equations (RODEs) is introduced as a novel tool to obtain an accurate analytical solution. It is...

AbstractReferencesFull Text PDF (615 KB)Views: 169Downloads: 115Citations: 0
Open Access Research Article·pp. 1537–1541·Vol. 29, Issue 5-BMay 2026

Calculating triple integrals with continuous integrals numerically using the method RS (RMS)

Eman Jasim Fadhil Khudhair, Safaa M. Aljassas

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2549

In this paper: An objective of this article is to calculate continuous triple integrals numerically using the RS (RMS) method by applying Romberg acceleration to complex rules (the Simpson rule for the inner dimensi...

AbstractReferencesFull Text PDF (424 KB)Views: 142Downloads: 96Citations: 0
Open Access Research Article·pp. 1551–1558·Vol. 29, Issue 5-BMay 2026

Negative theorems for co-positive Lp1, 0< p < 1 interpolating approximation

Nabiha Kahtan Dreeb, Eman Samir Bhaya

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2547

In this paper: This work provides a rigorous mathematical analysis of the relationship between Hermite interpolation and function approximation, such that at a certain point Aq ∈ 𝔸q, where 𝔸q, is the set of all coll...

AbstractReferencesFull Text PDF (503 KB)Views: 155Downloads: 90Citations: 0
Open Access Research Article·pp. 1559–1565·Vol. 29, Issue 5-BMay 2026

Some results via pre-feebly-open sets in topological spaces

Waqas Battal Jubair, Asaad Adil Abdulhadi, Hadi Hassan Hadi, Haider Jebur Ali

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2548

In this paper: In this research, we introduce a recent type of open set, called a pre-feebly-open set, obtained by accrediting the feebly open set. We have defined and studied this type and specified several of its...

AbstractReferencesFull Text PDF (424 KB)Views: 161Downloads: 137Citations: 0
Open Access Research Article·pp. 1567–1571·Vol. 29, Issue 5-BMay 2026

Analytical solutions of random integro differential equations by new combination Sumudu transform with ADM

Ayman Kaled, Huda Omran Altaie

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2545

In this paper: A new transform Sumudu Adomian Decomposition method (STADM) for non-linear random ordinary differential equations and the non-linear Random Integro differential equation (NRIDE) are utilized in a nove...

AbstractReferencesFull Text PDF (518 KB)Views: 129Downloads: 105Citations: 0
Open Access Research Article·pp. 1573–1583·Vol. 29, Issue 5-BMay 2026

Deriving a new complex rule for calculating double integrals using Boole’s Rule

Rana Hasan Hilal, Nada A. M. Al-Karamy, Zainab Imran Mousa

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2550

In this paper: The primary region. The first rule is composed of Boole’s rule for the inner dimension and the midpoint rule for the outer dimension. The second rule is composed of Boole’s rule on both internal dimen...

AbstractReferencesFull Text PDF (269 KB)Views: 138Downloads: 148Citations: 0
Open Access Research Article·pp. 1585–1596·Vol. 29, Issue 5-BMay 2026

Smooth differential structures of bornological algebra induced via directed limits of Frechet spaces

Hasan Ali Naser, Z. D. Al-Nafie

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2551

In this paper: This paper presents new results on bornological algebras over LF-spaces, in which bounded sets are stable under differentiation, multiplication, and addition, and the space of smooth functions on the...

AbstractReferencesFull Text PDF (632 KB)Views: 134Downloads: 117Citations: 0
Open Access Research Article·pp. 1607–1615·Vol. 29, Issue 5-BMay 2026

Homotopy perturbation analysis of descriptor nonlinear MFSS with ALE distribution extension

Rajaa Hasan Abbas, Alaa Mohsin Abed, Murtadha A. Kadhim

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2553

In this paper: The use of fractional integro-differential models has gained prominence in describing complex dynamical systems with memory and hereditary properties. A set of nonlinear descriptor systems with multi-...

AbstractReferencesFull Text PDF (749 KB)Views: 109Downloads: 116Citations: 0
Open Access Research Article·pp. 1617–1623·Vol. 29, Issue 5-BMay 2026

New analytical results for Laguerre polynomials based on the Emad–Sara transform

Ahlam Abdulkareem Mahdi, Rusul Ahmed Flayyih, Nada Hadi Malik, Emad Abbas Kuffi

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2554

In this paper: An Emad–Sara transform be an effective mathematical technique for simplifying and solving differential equations arising in applied mathematics and engineering sciences. By converting differential ope...

AbstractReferencesFull Text PDF (440 KB)Views: 147Downloads: 114Citations: 0
Open Access Research Article·pp. 1625–1633·Vol. 29, Issue 5-BMay 2026

Intuitionistic fuzzy soft boundary and semi boundary sets in intuitionistic fuzzy soft closure spaces

Marwa Abd Ali Hussein, Neeran Tahir Abd Alameer

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2555

In this paper: This work introduces concept for an intuitionistic fuzzy soft(ifs) boundary in intuitionistic fuzzy soft(ifs) closure space. Additionally, the intuitionistic fuzzy soft semi-boundary in intuitionistic...

AbstractReferencesFull Text PDF (457 KB)Views: 142Downloads: 90Citations: 0
Open Access Research Article·pp. 1635–1644·Vol. 29, Issue 5-BMay 2026

New results in bornological algebra of smooth mappings

Hasan Ali Naser, Z. D. Al-Nafie

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2552

In this paper: This paper presents new results in bornological algebra, focusing on smooth mappings under certain conditions. We apply our results to solve dynamic problems using the derived bornological algebra the...

AbstractReferencesFull Text PDF (520 KB)Views: 99Downloads: 128Citations: 0
Open Access Research Article·pp. 1655–1662·Vol. 29, Issue 5-BMay 2026

Sharpened bounds for the Caratheodory function associated with the generating function of the Lucas-balancing polynomials

Zainab Aodeh A. Mohmmed, Semh Kadhim Gebur

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2558

In this paper: The lower bounds of |𝒯’ (a)| were estimated for an analytic function 𝒯 with an angular limit at a boundary point on the unit disk 𝔄 = {z ∈ C:|z|

AbstractReferencesFull Text PDF (460 KB)Views: 153Downloads: 105Citations: 0
Open Access Research Article·pp. 1663–1670·Vol. 29, Issue 5-BMay 2026

Solution of special cases of PDEs with homogeneous terms

Sattar Naser Ketab, Banen Wafaa Abdullah, Zainab Radhi Mousa

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2559

In this paper: This study seeks to derive complete solutions for certain classes of third-order linear partial differential equations with constant coefficients involving three independent variables, expressed in th...

AbstractReferencesFull Text PDF (417 KB)Views: 194Downloads: 99Citations: 0
Open Access Research Article·pp. 1671–1681·Vol. 29, Issue 5-BMay 2026

Neutrosophic crisp triple tritopological group

Eman Y. Habeeb, Kawther Reyadh Obead, Dhuha Abdulameer Kadhim

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2560

In this paper: In this paper, we establish a neuromorphic crisp triple tri topological group. The neuromorphic crisp triple, a topological space and continuous function, is defined and used in constructing the new c...

AbstractReferencesFull Text PDF (584 KB)Views: 171Downloads: 108Citations: 0
Open Access Research Article·pp. 1683–1688·Vol. 29, Issue 5-BMay 2026

Solutions of fractional partial differential equations by combined new technique NTADM

Ahmed Najah Abdulhadi, Huda Omran Altaie

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2543

In this paper: An application of fractional differential equations is on the rise across physics, biology, and engineering. This is especially true when standard integer-order models fail to adequately describe a gi...

AbstractReferencesFull Text PDF (649 KB)Views: 157Downloads: 102Citations: 0
Open Access Research Article·pp. 1689–1696·Vol. 29, Issue 5-BMay 2026

Novel technique for solving nonlinear fractional differential equations via ANN

Maha A. Mohammed, A. H. Khamas, Luma N. M. Tawfiq

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2562

In this paper: A novel, computationally efficient technique is suggested to find exact solution of nonlinear differential equations with order is fractional, This technique is extended to fractional partial differen...

AbstractReferencesFull Text PDF (468 KB)Views: 214Downloads: 110Citations: 0
Open Access Research Article·pp. 1697–1703·Vol. 29, Issue 5-BMay 2026

New solitary wave solution for the nonlinear autonomous equations using an efficient method

Maha A. Mohammed, Luma N. M. Tawfiq

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2563

In this paper: An efficient approach is used in this article to solve and analyze the nonlinear autonomous equations. The Tanh method provides more general, precise traveling wave solutions with little additional wo...

AbstractReferencesFull Text PDF (563 KB)Views: 113Downloads: 108Citations: 0
Open Access Research Article·pp. 1705–1711·Vol. 29, Issue 5-BMay 2026

Bounded solutions for nonlinear delay differential equations of first order

Mohammed Jasim Fadhil, Bashar Ahmed Sharba

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2282

In this paper: In this work, we use Krasnoselskii’s Theorem to prove an existence for the solutions for delay differentials equation under new sufficient conditions and bounded by decreasing functions.

AbstractReferencesFull Text PDF (467 KB)Views: 129Downloads: 94Citations: 0
Open Access Research Article·pp. 1713–1721·Vol. 29, Issue 5-BMay 2026

Variational iteration method for solving two phases continuous casting moving boundary value problem

Radhi A. Zaboon, Abbas Al-Shimmary

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2284

In this paper: This paper’s primary goal is to find an approximate solution for the nonlinear continuous casting of liquids and solids in two phases. It is a type of moving boundary value problem, which is nonlinear...

AbstractReferencesFull Text PDF (660 KB)Views: 176Downloads: 98Citations: 0
Open Access Research Article·pp. 1723–1732·Vol. 29, Issue 5-BMay 2026

Fibrewise h-topological spaces

Y. Y. Yousif, Afraa R. Sadek, Ehab A. Ghaloob

Published Online: 27 Jun 2026DOI: 10.47974/JIM-2584

In this paper: In this paper, we introduce and study fibrewise h*-topological spaces over ℬ. We define this class of spaces and investigate related notions, including fibrewise h*-closed sets and fibrewise h*-open s...

AbstractReferencesFull Text PDF (735 KB)Views: 166Downloads: 114Citations: 0