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
Special Issue

Innovations in Computational and Nonlinear Mathematics

Volume 28, Issue 3-B·April 2025·38 articles

Articles

Open Access Research Article·pp. i–vii·Vol. 28, Issue 3-BApr 2025

Special Issue on Innovations in Computational and Nonlinear Mathematics (Part-B)

M. Niranjanamurthy, Ahmed J. Obaid, Ibrahim S. Ahmed

Published Online: 08 May 2025DOI: 10.47974/JIM-28-3-B-Foreword

In this paper: In this special issue, titled “Innovations in Computational and Nonlinear Mathematics”, we explore the intricate relationship between mathematical concepts and their numerous practical applications ac...

AbstractFull Text PDF (147 KB)Views: 269Downloads: 101Citations: 0
Open Access Research Article·pp. 991–1001·Vol. 28, Issue 3-BApr 2025

Some basic characteristic of center bi-topological space (CBTS)

Eman Y. Habeeb, Noor Dhahir Abbas, Dhuha Abdulameer Kadhim

Published Online: 08 May 2025DOI: 10.47974/JIM-2008

In this paper: We define the concept of center bi-topological space to study the center bi-open set. Also, we study bi-separation axioms. A few of these concepts’ properties are also being studied.

AbstractReferencesFull Text PDF (474 KB)Views: 241Downloads: 126Citations: 0
Open Access Research Article·pp. 1003–1010·Vol. 28, Issue 3-BApr 2025

Study on weakly Lambda ideal map

Hawraa S. Abu Hamad Al-Ali, Nabaa Mohammed Al-Shamary, Heyam Kh. Alkhayyat, Mariam Ameen Aliwi, Yiezi K. Al-Talkany

Published Online: 08 May 2025DOI: 10.47974/JIM-2009

In this paper: The purpose of this paper is to define a study ideals with the Weakly ideal map and weakly0  ideal map which are defined by Al-Bawi and AL-Swidy in [5] by using the lambda ideal Open set. Some of theo...

AbstractReferencesFull Text PDF (438 KB)Views: 263Downloads: 119Citations: 0
Open Access Research Article·pp. 1011–1019·Vol. 28, Issue 3-BApr 2025

Operational calculus of the expanded SEE transform technique

Luma J. Barghooth, Zainab A. Khudhair, Emad A. Kuffi

Published Online: 08 May 2025DOI: 10.47974/JIM-2010

In this paper: In this paper, we showed the theorem of convergence and existence for the transformation by the SEE transform technique. We have structured the appropriate space of pseudo quotients for the SEE techni...

AbstractReferencesFull Text PDF (516 KB)Views: 204Downloads: 118Citations: 0
Open Access Research Article·pp. 1021–1030·Vol. 28, Issue 3-BApr 2025

Fixed point theorem over orthogonal vector metric space and application for solve integral equation

Zainab Hasan Abood, Mushtaq K. Abd Al-Rahem, Dhuha Abdulameer Kadhim

Published Online: 08 May 2025DOI: 10.47974/JIM-2011

In this paper: This research introduces the concept of an orthogonal set and explores the idea of orthogonality within the setting of a vector metric space. In addition, we provide fixed point theorems for the propo...

AbstractReferencesFull Text PDF (401 KB)Views: 272Downloads: 110Citations: 1
Open Access Research Article·pp. 1031–1041·Vol. 28, Issue 3-BApr 2025

A semi-analytical approach for solving time-fractional nonlinear KdV equations using fractional multiple transformed iterative method

Nisreen S. Hasan, Ali Al-Fayadh

Published Online: 08 May 2025DOI: 10.47974/JIM-2013

In this paper: This paper introduces a novel successful hybrid method of solving different kinds for time-fractional nonlinear partial differential equation (TFr-NLPDEs). A technique combine Shehu, & Sumudu integral...

AbstractReferencesFull Text PDF (418 KB)Views: 228Downloads: 118Citations: 0
Open Access Research Article·pp. 1043–1057·Vol. 28, Issue 3-BApr 2025

On the fourth Hankel determinant introduced by using a new subclass

Nihad Hameed Shehab, Abdul Rahman S. Juma

Published Online: 08 May 2025DOI: 10.47974/JIM-2077

In this paper: This article investigates the fourth Hankel determinant for N(α, γ, δ, β, η, λ, μ), the novel subclass for analytic function characterized by subordination. Estimates on a coefficients |ai| with i = 2...

AbstractReferencesFull Text PDF (495 KB)Views: 237Downloads: 123Citations: 0
Open Access Research Article·pp. 1059–1064·Vol. 28, Issue 3-BApr 2025

Ɲ_b- paracompactness in nano topological spaces

Intisar Mohammed Jawad, Z. D. Al-Nafie

Published Online: 08 May 2025DOI: 10.47974/JIM-2079

In this paper: A New type of nano topological spaces (N.T.S.), termed nano b-open sets(briefly Ɲ_b-open), is established. explored of this work. Since a nano topology includes at most five set, so developing novel s...

AbstractReferencesFull Text PDF (435 KB)Views: 212Downloads: 103Citations: 0
Open Access Research Article·pp. 1065–1072·Vol. 28, Issue 3-BApr 2025

Application of the Shehu transform and science and technology

Fatimah A. Mohommed, Zainab D. Ridha, Shaymaa Y. Alkufi

Published Online: 08 May 2025DOI: 10.47974/JIM-2081

In this paper: The paper investigates the Laplace Transform’s effectiveness in solving mathematical models for engineering problems involving simple electric circuits and mechanical analysis and population dynamics...

AbstractReferencesFull Text PDF (412 KB)Views: 204Downloads: 120Citations: 0
Open Access Research Article·pp. 1073–1079·Vol. 28, Issue 3-BApr 2025

Stabilizability of non-linear dynamic control systems on time scales in Banach spaces

Nada A. Laabi, Ansam Al-Sabti

Published Online: 08 May 2025DOI: 10.47974/JIM-2083

In this paper: In this article, new method is proposed to study the stabilizability of a nonlinear dynamic control systems  ȶΔ (ϰ)=A(ϰ)ȶ(ϰ)+B(ϰ)u(ϰ)+g(ϰ,ȶ(ϰ),u(ϰ)), ϰ∈T on a time scale T. Based on using an appropria...

AbstractReferencesFull Text PDF (393 KB)Views: 199Downloads: 93Citations: 0
Open Access Research Article·pp. 1081–1088·Vol. 28, Issue 3-BApr 2025

Topological free group-groupoids

Taghreed Hur Majeed

Published Online: 08 May 2025DOI: 10.47974/JIM-2084

In this paper: In this work, we introduced some new properties on topological group-groupoid and topological free group-groupoid. We obtain some results related to topological group-groupoid and topological free gro...

AbstractReferencesFull Text PDF (454 KB)Views: 182Downloads: 117Citations: 0
Open Access Research Article·pp. 1089–1095·Vol. 28, Issue 3-BApr 2025

Neural network operators of multivariate of Bernstein-type with the integer positive parameter

Ali J. Mohammad, Ibtihal J. Mohammad

Published Online: 08 May 2025DOI: 10.47974/JIM-2085

In this paper: This paper develops a neural network that depends on an integer positive parameter by using the type of Bernstein in multivariate for some sigmoidal functions. The theorems for uniform and pointwise a...

AbstractReferencesFull Text PDF (487 KB)Views: 264Downloads: 132Citations: 0
Open Access Research Article·pp. 1097–1108·Vol. 28, Issue 3-BApr 2025

Present study on fourth order differential subordination associated with differential operator

Suad Y. Al-Mayyahi, Kassim A. Jassim

Published Online: 08 May 2025DOI: 10.47974/JIM-2086

In this paper: Univalent functions represent a crucial area in complicated analysis applicable to both single and many variables. Researchers have performed a traditional analysis of this subject since at least 1907...

AbstractReferencesFull Text PDF (501 KB)Views: 243Downloads: 115Citations: 0
Open Access Research Article·pp. 1117–1124·Vol. 28, Issue 3-BApr 2025

Build new operator using cluster system

Mustafa Hasan Hadi, Luay A. Al-Swidi

Published Online: 08 May 2025DOI: 10.47974/JIM-2088

In this paper: The new ₡∫ -operator construction procedure is centered on the cluster system. Some features of the ₡∫ -operator without conditions have been examined in this paper. Specific requirements must be met...

AbstractReferencesFull Text PDF (392 KB)Views: 166Downloads: 141Citations: 0
Open Access Research Article·pp. 1125–1130·Vol. 28, Issue 3-BApr 2025

JX – L – open and some of their generalizations

Zinah T. Abdulqader, Nabeel E. Arif, Rana B. Esmaeel

Published Online: 08 May 2025DOI: 10.47974/JIM-2089

In this paper: The present work is concerned with the new set namely JX – L – open, which is devoted to the basic properties of JX – L – open and the relation between open set and JX – L – open set is shown. The mai...

AbstractReferencesFull Text PDF (350 KB)Views: 207Downloads: 116Citations: 0
Open Access Research Article·pp. 1131–1136·Vol. 28, Issue 3-BApr 2025

Study of d-interior and  d-closure

Luma S. Abdalbaqi, Hassan H. Ebrahim, Ali Al-Fayadh

Published Online: 08 May 2025DOI: 10.47974/JIM-2090

In this paper: A main goal for this article is to generalize the notion open set by introduce an idea d – open set to obtains the d – space which is stronger than classical topological space. Some examples are provi...

AbstractReferencesFull Text PDF (400 KB)Views: 193Downloads: 118Citations: 0
Open Access Research Article·pp. 1145–1154·Vol. 28, Issue 3-BApr 2025

Proposing an effective numerical algorithm based on analysis to solve two-dimensional Friedholm equations

Muna Jaafar Raheem, Basim K. Abbas

Published Online: 08 May 2025DOI: 10.47974/JIM-2225

In this paper: In order to solve 2-Dimention Fredholm integral formulas, a brand-new and effective numerical approach based on interpolating scaled functions is devised. FIE simplifies to the set for algebraic equat...

AbstractReferencesFull Text PDF (444 KB)Views: 263Downloads: 109Citations: 0
Open Access Research Article·pp. 1137–1143·Vol. 28, Issue 3-BApr 2025

Modified adomian decomposition method for solving PDEs of fractional order

Huda Omran Altaie, Buthyna N. Shihab, Adel Rashed A. Ali

Published Online: 08 May 2025DOI: 10.47974/JIM-2115

In this paper: A modify approach for approximating an analytical solution of some PDEs with fractional order is the Variational Adomian decomposition methodology (VIADM). We provide several examples to support our c...

AbstractReferencesFull Text PDF (511 KB)Views: 263Downloads: 125Citations: 0
Open Access Research Article·pp. 1155–1159·Vol. 28, Issue 3-BApr 2025

Analytical solutions for nonlinear differential equations via differential transform technique

Huda Omran Altaie, Adel Rashed A. Ali, Buthyna N. Shihab

Published Online: 08 May 2025DOI: 10.47974/JIM-2117

In this paper: A relatively novel technique differential equations named Differential Transform Technique (DTM) is proposed.  The evaluation of this approach is based on an iterative method in series form. Here, Fir...

AbstractReferencesFull Text PDF (304 KB)Views: 275Downloads: 129Citations: 0
Open Access Research Article·pp. 1161–1172·Vol. 28, Issue 3-BApr 2025

New results in fuzzy soft bitopological spaces via (1,2)-fuzzy soft pre-open sets 

Ameer Al-Abayechib, Haneen Al-Janabi, Heyam Kh. Hassan Alkhayyat

Published Online: 08 May 2025DOI: 10.47974/JIM-2205

In this paper: Makherjee and Park [1] introduced and studied a notion for a fuzzy soft bitopological space. This article introduce notions for fuzzy soft pre-open (closed) set of fuzzy soft bitopological space and s...

AbstractReferencesFull Text PDF (444 KB)Views: 228Downloads: 108Citations: 0
Open Access Research Article·pp. 1173–1183·Vol. 28, Issue 3-BApr 2025

∫-focal nested set

Maryam Khenyab Kareem, L. A. A. Jabar

Published Online: 08 May 2025DOI: 10.47974/JIM-2206

In this paper: In this work, we derived two new mathematical concepts in ∫-topological spaces with significant effects on topological concepts, which are (∫-focal nested set, ∫-focal ingrained set), and were constru...

AbstractReferencesFull Text PDF (457 KB)Views: 195Downloads: 129Citations: 0
Open Access Research Article·pp. 1185–1196·Vol. 28, Issue 3-BApr 2025

An innovation analytical application of the proposed system of equations on Hilbert space

Salim Dawood Mohsen, Ihsan Abdulsattar Awadh

Published Online: 08 May 2025DOI: 10.47974/JIM-2207

In this paper: In the realm of Hilbert space, the applicability of the system of modeling equations in Operator Theory is investigated and considered. Recently, the interest in studying this type of systems has incr...

AbstractReferencesFull Text PDF (494 KB)Views: 168Downloads: 127Citations: 0
Open Access Research Article·pp. 1197–1206·Vol. 28, Issue 3-BApr 2025

A new general model version of quasinormal operator based on a fuzzy soft Hilbert domain 

Muna Abuljabbar Ahmed, Ines Ellouze, Salim Dawood Mohsen

Published Online: 08 May 2025DOI: 10.47974/JIM-2208

In this paper: In fuzzy functional analysis, the soft fuzzy Hilbert space is a remarkable space. Compared to soft fuzzy sets, this space is more general and flexible. Most of the challenges in describing the fuzzine...

AbstractReferencesFull Text PDF (380 KB)Views: 200Downloads: 111Citations: 0
Open Access Research Article·pp. 1207–1215·Vol. 28, Issue 3-BApr 2025

A specific subfamily of paranormality associated with even power underlies the fuzzy soft principle

Salim Dawood Mohsen, Mohammed Jassim Mohammed

Published Online: 08 May 2025DOI: 10.47974/JIM-2209

In this paper: The current article discusses the theoretical aspects of a new operator in operator theory (OT), that has been generalized in (FS-HS) named mth-fuzzy soft paranormal operators(m^th-FSPO), Research wit...

AbstractReferencesFull Text PDF (460 KB)Views: 182Downloads: 122Citations: 0
Open Access Research Article·pp. 1217–1224·Vol. 28, Issue 3-BApr 2025

Investigating of the attributes for a novel type of extended soft quasinormal for normal operator in Hilbert space

Luma J. Barghooth, Ail Taghavi, Salim Dawood Mohsen

Published Online: 08 May 2025DOI: 10.47974/JIM-2210

In this paper: Through our study of soft-liner operator in Hilbert space we discovered a new type, which is a Novel Type of Extended Soft quasinormal for Normal Operator in Hilbert Space In this paper we present som...

AbstractReferencesFull Text PDF (437 KB)Views: 196Downloads: 109Citations: 0
Open Access Research Article·pp. 1225–1232·Vol. 28, Issue 3-BApr 2025

Weak convergence theorems of new type 4-steps iterative techniques 

Saddam Muhsin Ghadeer, Z. H. Maibed

Published Online: 08 May 2025DOI: 10.47974/JIM-2211

In this paper: In this article, we introduce 4-step iterative techniques. And we study the convergence type weakly to a common fixed point (C.F.P) via quasi-non expansive multivalued (Q.N.M) and asymptotically nonex...

AbstractReferencesFull Text PDF (403 KB)Views: 222Downloads: 116Citations: 0
Open Access Research Article·pp. 1233–1237·Vol. 28, Issue 3-BApr 2025

Certain types of topological groupoids

Jasim Shwayel Oleiwi, Taghreed Hur Majeed

Published Online: 08 May 2025DOI: 10.47974/JIM-2212

In this paper: Our main the goal is to work upon certain types of the topological groupoid, source correct groupoid, submersion groupoid, source proper groupoid-space and submersion groupoid-space to get some outcom...

AbstractReferencesFull Text PDF (437 KB)Views: 163Downloads: 113Citations: 1
Open Access Research Article·pp. 1239–1245·Vol. 28, Issue 3-BApr 2025

Convergence and best proximity point theorems via tripled ĢPᶊ-mappings

Jihan Muhamad Shakir, Z. H. Maibed

Published Online: 08 May 2025DOI: 10.47974/JIM-2213

In this paper: In this article, we introduce a tripled ĢPᶊ-cyclic mapping in Pᶊ-dislocated metric space, and we prove some convergence and best proximity point theorems by using tripled ĢPᶊ-cyclic mapping.

AbstractReferencesFull Text PDF (400 KB)Views: 164Downloads: 119Citations: 0
Open Access Research Article·pp. 1247–1254·Vol. 28, Issue 3-BApr 2025

A new embedded improved Runge-Kutta approach to solve first order ordinary differential equation

Kasim Abbas Hussain, Hatim Kareem Khudhair, Mohammed Abdulhadi Sarhan

Published Online: 08 May 2025DOI: 10.47974/JIM-2214

In this paper: This work presents a novel pair of embedded improved Runge-Kutta techniques for first-order ordinary differential equations (ODEs) numerical integration. Three and four are algebraic orders for this e...

AbstractReferencesFull Text PDF (438 KB)Views: 307Downloads: 137Citations: 0
Open Access Research Article·pp. 1255–1262·Vol. 28, Issue 3-BApr 2025

Finding a new parallel method of harmonic Runge-Kutta mean by using predictor corrector form

Mahmood D. Jasim, Ammar Saad Abduljabbar, Noor Mawlood Dahash

Published Online: 08 May 2025DOI: 10.47974/JIM-2215

In this paper: The paper present and introduce a new parallel method, the Harmonic Runge Kutta (HRK) method with Predictor Corrector (PC) form was used. A new parallel method by using an expansion to the computation...

AbstractReferencesFull Text PDF (440 KB)Views: 222Downloads: 113Citations: 0
Open Access Research Article·pp. 1263–1268·Vol. 28, Issue 3-BApr 2025

Certain properties of analytic fractional functions on the open unit disk

Zainab Esa Abdulnaby, Waqas Battal Jubair

Published Online: 08 May 2025DOI: 10.47974/JIM-2216

In this paper: This research paper introduces a new generalization of the normalized fractional differential operator, which opens a new direction in our research area. We utilize this new operator to establish a su...

AbstractReferencesFull Text PDF (366 KB)Views: 238Downloads: 102Citations: 0
Open Access Research Article·pp. 1269–1276·Vol. 28, Issue 3-BApr 2025

New accurate method for solving fourth order two-dimension evolution equations

Maha A. Mohammed, Luma N. M. Tawfiq

Published Online: 08 May 2025DOI: 10.47974/JIM-2217

In this paper: In this article, a 4th order non-linear two-dimension evolution equation as a kind of partial differential equations and its reduction is studied and solved by efficient approach to get exact solution...

AbstractReferencesFull Text PDF (385 KB)Views: 208Downloads: 124Citations: 1
Open Access Research Article·pp. 1277–1289·Vol. 28, Issue 3-BApr 2025

New weak open set in soft topological space with an ideal

Mahmood Waleed, Rana B. Esmaeel

Published Online: 08 May 2025DOI: 10.47974/JIM-2218

In this paper: In this study, we present and study sIIpg*-closed soft sets in a soft topological space. In this article, sIIpg*-closed soft sets are examined using soft set theory and examples. A suitable condition...

AbstractReferencesFull Text PDF (571 KB)Views: 187Downloads: 119Citations: 0
Open Access Research Article·pp. 1291–1296·Vol. 28, Issue 3-BApr 2025

New patterns about supra MC function

Abdulfatah A. Abdulrazak, Haider Jebur Ali

Published Online: 08 May 2025DOI: 10.47974/JIM-2219

In this paper: In our research paper we introduced a weak concept to supra Mc function which we call supra M semi pre-closed function. We also presented other types of this new function, studied the relationship bet...

AbstractReferencesFull Text PDF (349 KB)Views: 207Downloads: 120Citations: 0
Open Access Research Article·pp. 1297–1301·Vol. 28, Issue 3-BApr 2025

Solutions of special types of nonlinear differential equations with fractional order 

Huda Omran Altaie, Adel Rashed A. Ali

Published Online: 08 May 2025DOI: 10.47974/JIM-2116

In this paper: The major aim of this work is to apply a technique, Elzaki transform (ET), which is an iterative analytical technique to achieve an approximate analytical solution for some applications of nonlinear d...

AbstractReferencesFull Text PDF (416 KB)Views: 249Downloads: 129Citations: 0
Open Access Research Article·pp. 1303–1308·Vol. 28, Issue 3-BApr 2025

Qualitative property to type of neutral differential equation

Zahrah Abdulabbas Hussein, Aqeel Falih Jaddoa

Published Online: 08 May 2025DOI: 10.47974/JIM-2226

In this paper: Our paper dealt with the study of oscillatory phenomena in neutral linear differential equations (NDEs). We obtained sufficient conditions to prove oscillatory phenomena. Some delays were explained to...

AbstractReferencesFull Text PDF (341 KB)Views: 174Downloads: 109Citations: 0