Asian Research Journal of Mathematics 2023-01-25T12:48:28+00:00 Asian Research Journal of Mathematics Open Journal Systems <p style="text-align: justify;"><strong>Asian Research Journal of Mathematics (ISSN: 2456-477X)</strong> aims to publish high-quality papers (<a href="/index.php/ARJOM/general-guideline-for-authors">Click here for Types of paper</a>) in all areas of ‘Mathematics and Computer Science’. By not excluding papers based on novelty, this journal facilitates the research and wishes to publish papers as long as they are technically correct and scientifically motivated. The journal also encourages the submission of useful reports of negative results. This is a quality controlled, OPEN peer-reviewed, open-access INTERNATIONAL journal.</p> <p style="text-align: justify;">This is an open-access journal which means that all content is freely available without charge to the user or his/her institution. Users are allowed to read, download, copy, distribute, print, search, or link to the full texts of the articles, or use them for any other lawful purpose, without asking prior permission from the publisher or the author. This is in accordance with the BOAI definition of open access.</p> Generalized Olivier Numbers 2023-01-21T09:25:38+00:00 Yüksel Soykan <p>In this paper, we introduce and investigate the generalized Olivier sequences and we deal with, in detail, two special cases, namely, Olivier and Olivier-Lucas sequences. We present Binet's formulas, generating functions, Simson formulas, and the summation formulas for these sequences. We also provide various<br>matrices and identities associated with these sequences. Furthermore, we show that there are close relations between Olivier, Olivier-Lucas and adjusted Pell-Padovan, third order Lucas-Pell, third order Fibonacci-Pell, Pell-Perrin, Pell-Padovan numbers. Moreover, we give some identities and matrices related with these<br>sequences.</p> 2023-01-02T00:00:00+00:00 ##submission.copyrightStatement## Forecasting Study of Natural Gas Consumption by Combined Models Based on LASSO and WOA 2023-01-25T12:09:01+00:00 Kai Tang Huijia Li Zishu Qian <p>As the impact of the Russia-Ukraine war continues to expand, energy shortages appear in Europe. After Russia cut off the Nord Stream 1 pipeline that transported natural gas to Europe, most European countries experienced a natural gas crisis, severely affecting Germany. In order to effectively predict the consumption of natural gas, this paper combines the Least Absolute Shrinkage and Select Operator model with the <em>Whale Optimization Algorithm</em>, uses the NAR model to reconstruct the phase space of the original time series, and performs a 5-step forward forecast. Use the model to forecast a German monthly natural gas consumption dataset. Comparing the results of WOA-LASSO&nbsp; with other five other WOA-based hybrid models and Cross-Validation based models for prediction results, it is found that WOA-LASSO&nbsp; has the smallest MAPE in each step of the 5-step prediction, and the numerical results are between 8.273% and 9.867%. Moreover, when comparing WOA with the conventional optimization scheme Cross-Validation, it is found that WOA can obtain better model hyperparameters, which can effectively enhance the generalization performance and prediction accuracy of the model.</p> 2023-01-07T00:00:00+00:00 ##submission.copyrightStatement## Regular Elements and Von-Neumann Inverses of a Class of Zero Symmetric Local Near-Rings Admitting Frobenius Derivations 2023-01-25T12:48:28+00:00 Joseph Motanya Abuga Michael Onyango Ojiema Benard Muthiani Kivunge <p>Let <em>N</em> be a zero-symmetric local near-ring. An element \({x}\) \(\in\) <em>N</em> is either regular, zero or a zero divisor. In this paper, we construct a class of zero symmetric local near-ring of characteristic p<sup>k</sup>; k \(\ge\) 3 admitting an identity frobenius derivation, characterize the structures and orders of the set R(<em>N</em>), the regular compartment with an aim of advancing the classication problem of algebraic structures. The number theoretic notions relating the number of regular elements to Euler's phi-function and the arithmetic functions of Galois near-rings are adopted. Using the Fundamental Theorem of nitely generated Abelian groups, the structures of R(<em>N</em>) are proved to be isomorphic to cyclic groups of various orders. The study also extends to the automorphism groups Aut(R(<em>N</em>)) of the regular elements.</p> 2023-01-10T00:00:00+00:00 ##submission.copyrightStatement##