Vol. 1 No. 2 (2023)

This issue focuses on calculus research, specifically differential equations and variable-order derivatives. The related research on differential equations focuses on topics such as functional solutions and boundary values. These studies focus on the most frequent differential equation problems while employing an innovative perspective to explore variable-order derivatives.

Open Access

Article

Article ID: 87

Norm of the Hermite-Fejér interpolative operator with derivatives of variable order
by Alexander Fedotov

Journal of AppliedMath, Vol.1, No.2, 2023; 3648 Views, 915 PDF Downloads

DOI: https://doi.org/10.59400/jam.v2i1.87

A new definition of a variable order derivative is given. It is based on interpolation of integer order differentiation operators. An interpolation operator of the Hermite-Fejér type is built to jointly interpolate the function and its derivative of variable order. The upper estimate of the norm of this operator is obtained. This norm has been shown to be limited.

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Open Access

Article

Article ID: 113

(ϵ)-Kenmotsu manifold admitting Schouten-van Kampen connection
by S. Girish Babu, R. Rajendra, P. Siva Kota Reddy, N. Pavani

Journal of AppliedMath, Vol.1, No.2, 2023; 2694 Views, 867 PDF Downloads

DOI: https://doi.org/10.59400/jam.v1i2.113

The objective of this paper is to study some properties of quasi-conformal and concircular tensor on ( ϵ )-Kenmotsu manifold admitting the Schouten-van Kampen connection. Expressions of the curvature tensor, Ricci tensor and scalar curvature admitting Schouten-van Kampen connection have been obtained. Locally symmetric ( ϵ )-Kenmotsu manifold admitting Schouten-van Kampen connection and quasicon formally flat as well as quasi-conformally semisymmetric ( ϵ )-Kenmotsu manifolds admitting Schouten-van Kampen connection are studied.

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Open Access

Article

Article ID: 64

Newton’s forward interpolation method for solving nonlinear algebraic equation
by Nasr Al Din Ide

Journal of AppliedMath, Vol.1, No.2, 2023; 3589 Views, 1169 PDF Downloads

DOI: https://doi.org/10.59400/jam.v1i2.64

As we know, the interpolation is one of the most basic and most useful numerical techniques in Mathematics. Newton’s forward interpolation method is one of most important of these methods. Its most important task in numerical analysis to find roots of nonlinear equations, several methods already exist to find roots. But in this paper, we introduce the interpolation technique for this purpose. The proposed method derived from the newton forward interpolation method and we compared the results with another existing method (Bisection Method (BM), Regula-Falsi Method (RFM), Secant Method (SM), Newton Raphson Method (NRM)) and the method proposed by J. Sanaullah (SJM). It’s observed that the proposed method has fast convergence but it has same order of convergence of the method (SJM). Maple software is used to solve problems by different methods.

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Open Access

Article

Article ID: 200

On the existence of a positive solution to a boundary value problem for one nonlinear functional-differential equation of the second order
by Gusen Abduragimov

Journal of AppliedMath, Vol.1, No.2, 2023; 807 Views, 597 PDF Downloads

DOI: https://doi.org/10.59400/jam.v1i2.200

This article considers a boundary value problem for one non-linear second-order functional differential equation on the segment [0, 1] with an integral boundary condition at one of the ends of the segment. Using the well-known Go-Krasnoselsky theorem, sufficient conditions for the existence of at least one positive solution to the problem under consideration are established. A non-trivial example is given, illustrating the fulfillment of the conditions for the unique solvability of the problem posed.

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Open Access

Article

Article ID: 88

On a first order linear singular differential equation in the space K’
by Abdourahman Haman Adji, Shankishvili Lamara Dmitrievna

Journal of AppliedMath, Vol.1, No.2, 2023; 2672 Views, 54 PDF Downloads

DOI: https://doi.org/10.59400/jam.v1i2.88

We propose in this work to describe all the generalized-function solutions of the non-homogeneous first-order linear singular differential equation with A, B two real numbers, s and p ∈ N , n ≥ 1, q ∈Z + , in the space of generalized functions K ’ . In the case of a second right-hand side consisting of an s-order derivative of the Dirac-delta function, we have completely investigated the considered equation when we look for the solution in the form of y ( x ) = ∑ k = 0 N C k δ ( k ) ( x ) , with the unknown coefficients C k which we have determined case by case, taking into account the relationship between the parameters inside. On the basis of what has been done, we focus our present research on applying the principle of superposition of the solutions that is conducting us to the awaited result when we also maintain the classical solutions of the homogeneous equation which remains the same.

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Open Access

Article

Article ID: 237

Enhanced medicinal applications of Co-doped Zn0.5Ni0.5Fe2-xO4 for (X = 0.00 and 0.0250) soft ferrites: A structural analysis
by Abu Zar Muaawia, Ali Mujtaba, M. I. Khan, Babar Ali, Ansa Karamat, Adnan Asghar

Journal of AppliedMath, Vol.1, No.2, 2023; 3290 Views, 1050 PDF Downloads

DOI: https://doi.org/10.59400/jam.v1i2.237

In this experimental research paper, we investigate the potential enhancement of Co-doped Zn 0.5 Ni 0.5 Fe 2-x Co x O 4 for (x = 0.0, and 0.0250) ferrites, synthesis by green synthesis method for applications in medicine. The structural analysis of the synthesized material is a crucial step in understanding its suitability for medical applications. X-ray Diffraction (XRD) is employed to elucidate the crystallographic structure of the Co-doped ZnNiFe 2 O 4 ferrites. The results demonstrate that the doping process has a significant influence on the material’s crystal structure, which may impact its potential in various biomedical applications. The Co-doped ZnNiFe 2 O 4 spinel ferrite materials become more suitable for medical applications as the decrease in X-ray density and simultaneous increase in bulk density can facilitate better tissue penetration and biocompatibility, making them ideal for non-invasive medical imaging and therapeutic applications, while minimizing potential health risks.

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Editor-in-Chief

Assoc. Prof. Ahmad Zeeshan

International Islamic University, Pakistan

eISSN

2972-4805

Publication Frequency

Bi-monthly

About the Publisher

Academic Publishing insists on taking academic exchange and publication as the main line, carrying out comprehensive management based on science and technology, and fully exploring excellent international publishing resources. Within 5 years, it will form a strategic framework and scale with science (S), technology (T), medicine (M), education (E), and humanities and arts (H) as the main publishing fields. Academic Publishing is headquartered in Singapore and based in Malaysia, with the United States and China providing the main scientific and academic resources. At the same time, it has established long-term good cooperative relations with other publishing companies, scientific research communities, and academic organizations in more than a dozen countries and regions. Academic Publishing uses English and Chinese as its main publishing languages, mainly publishing books, journals, and conference papers in print and online. The vast majority of publications follow the international open access policy, providing stable and long-term quality and professional publications. With the joint efforts of the expert team and our professional editorial team, our publications will gradually be indexed by international databases in stages to provide convenient and professional retrieval for various scholars. At the same time, manuscripts we accept will be subject to the peer review principle, and cutting-edge and innovative research articles will be preferentially accepted for peer reference and discussion. All kinds of our publications are welcome for peer to contribute, access, and download.

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Volume Arrangement

2024

2023

Featured Articles

Octagonal-square tessellation model for masting GSM network: A case study of MTN Kumasi-East, Ghana

Masting in GSM network design is one of the most challenging problems in cell planning. The effect of uniform design pattern has been proven geographically to be hexagonal using uniform cell range. In this paper, we present a new uniform greedy semi-regular tessellation model called the octagonal square tessellation model (OSTM) to address the problem of global minimum overlap difference and area. Data from MTN Kumasi-East Ghana was collected and analyzed using the developed model. The original layout for the 0.6 km cell range accounted for an overlap difference of 937.66 m and a total area of 21.41 km² for 50 GSM mosts whereas the OSTM model accounted for an overlap difference of 1316.95 m with an area of 34.23 km². This is a 59.87% reduction of the original total area. Our solution is shown to be optimal in overlap difference and area for non-uniform cell range.

Computation of topological indices of linear chains of perylene and coronene using M-polynomial

The M-polynomial yields degree based topological indices that anticipate different physical and chemical properties of material being scrutinized. In this work, M- polynomial of linear chains of perylene and coronene are acquired. From M-polynomial, some degree based topological dicriptors are determined. Some topological indices of these compounds are compared by plotting graphs.

H∞ hybrid control and MRD in a steel frame building subjected to excessivevibrations caused by the dynamic action of wind and earthquake

The dynamic loads from earthquakes and winds can destroy lives, cause collapse in civil structures, and interrupt basic services provided to the population. In this scenario, structural designs must be developed to decrease the damage induced by these actions. The objective of this work is to design a hybrid controller based on the H∞ optimization via state feedback and the magneto-rheological damper (MRD) to mitigate the excessive vibrations of a three-story steel frame building, represented through the shear building model, subjected to the simultaneous dynamic action of wind and earthquake. All research is based on computational simulation, experimental research and results will not be addressed. In the numerical analysis, digital computer and MATLAB® software are used, and implemented codes generate the expected results based on the mathematical modeling. With the application of the H∞ control technique via state feedback, the displacements were reduced by 77%. With MRD this reduction was 79%. With the hybrid controller, this reduction was 100%. Thus, the verifications in relation to maximum displacements were met for NBR 15421:2006, NBR 8800:2008 and NBR 6118:2014. From the results, it is concluded that the hybrid controller proved to be more efficient and achieved the proposed objective. The exogenous inputs had zero influence on the behavior of the system output.

Topological analysis of multiple tables

The paper proposes a topological approach in order to explore several data tables simultaneously. These data tables of quantitative and/or qualitative variables measured on different homogeneous themes, collected from the same individuals. This approach, called topological analysis of multiple tables (TAMT), is based on the notion of neighborhood graphs in the context of a joint analysis of several data tables. It allows the simultaneous study of possible links between several thematic tables. The structure of the correlations or associations of the variables in each thematic table is analyzed according to quantitative, qualitative or mixed variables considered. Like the multiple factorial analysis (MFA), the TAMT allows several tables of variables to be analyzed simultaneously, and to obtain results, in particular graphical representations, which make it possible to study the relationship between individuals, variables and tables of data. These can also be tables of temporal data, collected at different times on the same individuals. The proposed TAMT approach is illustrated using real data associated with several and different homogeneous themes. Its results are compared to those from the MFA method.

Development of a stacked hybrid Decision Tree model leveraging the NSL-KDD dataset

Intrusion detection in information technology as well as operational technology networks is highly required in modern day systems due to the increased spate of cyber-attacks in both number and complexity. Anomaly-based intrusion detection systems which have the capacity to detect novel or zero-day attacks are highly employed in this regard. One important component of anomaly-based intrusion detection systems which ensures their behaviour is artificial intelligence in general and machine learning in particular. The burden in modern day cybersecurity research is to investigate and develop models that can outperform existing ones. This paper is aimed at developing a hybrid decision tree model using the stacking ensemble approach. Performances were measured on the basis of recall, precision, accuracy, F1-score, receiver operating characteristics and confusion matrices. The hybrid model presented a precision of 97%, accuracy of 81%, F1-score of 80% and AUC score of 0.96, respectively.