Journal of Interdisciplinary Mathematics

An efficient combination of Adomian Decomposition iterative technique coupled with Laplace transformation to solve non-linear Random Integro differential equation (NRIDE) is introduced in a novel way to get an accurate analytical solution. This technique is an elegant combination of theLaplace transform, and the Adomian polynomial. The suggested method will convert differential equations into iterative algebraic equations, thus reducing processing and analytical work. The technique solves the problem of calculating the Adomian polynomials. The method’s efficiency was investigated using some numerical instances, and the findings demonstrate that it is easier to use than many other numerical procedures. It has also been established that (LTADM) is a trustworthy technique for solving differential equations. Using the Mathematica 13.3 programme, the graphs of the approximate solutions and consecutive error are presented. Two applications are presented as examples of how the proposed technique can be utilised to obtain analytical or numerical solutions for certain kinds of Random Integro Differential Equations (RIDEs)in order to demonstrate its efficacy and potential.

Oras Abbas Salman

Huda Omran Altaie

Analytical approximate solutions of random integro differential equations with laplace decomposition method

随机积分微分方程的拉普拉斯分解方法解析近似解

The current paper aims to study bi- starlike functions. It presents a new class using Touchard polynomial, which fulfills the subordination conditions. In addition, an estimation of the Taylor-Maclaurin coefficients |a2| and |a3| was found.

Suha J. Hamaad

Abdul Rahman S. Juma

Hassan H. Ebrahim

Subclass of bi-starlike function associated with touchard polynomials

与Touchard多项式相关的双星形函数子类

For any graph G(V, E), V(G) is the vertex set and E(G) is the edge set. Let the vertex coloring be called modular coloring mc (G) of G if any two adjacent vertices receive different color sums, that is, S(u) ≠ S(v) for u, v ∈ E(G) here S(u) = Σv ∈ N(u)C(vij). In this paper, the structural properties of an inflated tree-related graph were discussed, and in addition, the modular chromatic number for the same was determined.

P. Sumathi

S. Tamilselvi

Modular chromatic number on inflated graphs of some tree graphs

树图膨胀图的模块色数

A Heisenberg group is a polycyclic, which allows elements to be handled as collected forms, leading to the polycyclic presentation style. In this study, we examine various types of Heisenberg groups from a polycyclic perspective, determine matrix representation and construct conjugation action orbits and stabilizers.

Saad O. Bedaiwi

A computational technique for studying the Heisenberg group

研究海森堡群的计算技术

In this article, the perception of Neutrosophic (αγ, βne) as well as Neutrosophic α(γ,β)- Contra Continuous Functions which are described in the Neutrosophic Τopological spaces are deliberated. Their behaviour, various relations and properties existing among them are studied and analyzed. The connection between them can be premeditated. Several noteworthy properties are described besides the detailed illustrations.

N. Kalaivani

E.Mona Visalakshidevi

Characterizations of neutrosophic (αγ, βne) and neutrosophic α(γ,β)- contra continuous functions in feutrosophic topological spaces

在模糊拓扑空间中，中智（αγ，βne）和中智α（γ，β）- 反连续函数的特征

Abbreviation	J. Interdiscip. Math.
Journal Impact	1.05
Quartiles(Global)	MATHEMATICS(Q1)

ISSN	0972-0502, 2169-012X
h-index	23

Publication Information	Publisher: Taru Publications，Publishing cycle: ，Journal Type: journal，Open Access Journals: No
Basic data	Year of publication: 1998，Proportion of original research papers: 100.00%，Self Citation Rate:36.40%， Gold OA Rate: 0.00%

Journal of Interdisciplinary Mathematics

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Analytical approximate solutions of random integro differential equations with laplace decomposition method

Subclass of bi-starlike function associated with touchard polynomials

Modular chromatic number on inflated graphs of some tree graphs

A computational technique for studying the Heisenberg group

Characterizations of neutrosophic (αγ, βne) and neutrosophic α(γ,β)- contra continuous functions in feutrosophic topological spaces

Analytical approximate solutions of random integro differential equations with laplace decomposition method

Subclass of bi-starlike function associated with touchard polynomials

Modular chromatic number on inflated graphs of some tree graphs

A computational technique for studying the Heisenberg group

Characterizations of neutrosophic (αγ, βne) and neutrosophic α(γ,β)- contra continuous functions in feutrosophic topological spaces