Asian Journal of Mathematical Sciences(AJMS) http://www.ajms.in/index.php/ajms <p>Mathematics in the Asian region has grown tremendously in recent years. There is a need to have a journal to unite such a development. The Asian Journal of Mathematical Sciences (AJMS) is a new journal that aims to stimulate mathematical research in the Asian region. It publishes original research papers and survey articles on all areas of pure mathematics and theoretical applied mathematics. High standards will be applied in evaluating submitted manuscripts, and the entire editorial board must approve the acceptance of any paper.</p> <p> </p> <p><strong>Asian Journal of Mathematical Sciences (AJMS) </strong>is an international Referred and Peer Reviewed Online Journal with E-ISSN: 2581-3463 published by B.R. Nahata Smriti Sansthan for the enhancement of Pure and Applied Mathematics, Mathematical Physics, Theoretical Mechanics, Probability and Mathematical Statistics, and Theoretical Biology. </p> <p>AJMS is an Open Access Online Journal that publishes full-length papers, reviews and short communications exploring and to promote diverse and integrated areas as Applied Mathematics and Modeling, Analysis and Its Applications, Applied Algebra and Its Applications, Geometry and Its Applications, Algebraic Statistics and Its Applications, Algebraic Topology and Its Applications.</p> <p><strong><u>SUBJECT CATEGORY </u></strong></p> <p>Papers reporting original research and innovative applications from all parts of the world are welcome.</p> <p><strong>Subject areas suitable for publication include, but are not limited to the following fields:</strong></p> <p><strong>Applied Mathematics and Modeling:</strong></p> <ul> <li>Computational Methods,</li> <li>Ordinary and partial Differential Equations,</li> <li>Mathematical Modeling and Optimization,</li> <li>Probability and Statistics Applications,</li> <li>Operations research,</li> <li>Model selection,</li> <li>Bio Mathematics,</li> <li>Data Analysis and related topics. </li> <li>Mathematical Finance,</li> <li>Numerical Solution of Stochastic Differential Equations,</li> <li>Stochastic Analysis and Modeling.</li> </ul> <p><strong>Analysis and Its Applications: </strong></p> <ul> <li>Approximation Theory and Its Applications,</li> <li>Ergodic Theory,</li> <li>Sequence Spaces and Summability,</li> <li>Fixed Point Theory,</li> <li>Functional Analysis and Its Applications and related topics.</li> </ul> <p><strong>Applied Algebra and Its Applications</strong>:</p> <ul> <li>Information Theory and Error Correcting Codes,</li> <li>Cryptography,</li> <li>Combinatorics and Its Applications,</li> <li>Cellular Automata,</li> <li>Fuzzy and Its Applications,</li> <li>Computational Algebra,</li> <li>Computational Group Theory and related topics</li> </ul> <p><strong>Geometry and Its Applications</strong>:</p> <ul> <li>Algebraic Geometry and Its Applications,</li> <li>Differential Geometry,</li> <li>Kinematics and related topics</li> </ul> <p><strong>Algebraic Statistics and Its Applications</strong>:</p> <ul> <li>Algebraic statistics and its applications</li> </ul> <p><strong>Algebraic Topology and Its Applications</strong>:</p> <ul> <li>Algebraic Topology and Its Applications,</li> <li>Knot Theory and related topics</li> </ul> <p><strong>Pure and Applied Mathematics and its Applications</strong>:</p> <ul> <li>Biology,</li> <li>Chemistry,</li> <li>Physics,</li> <li>Zoology,</li> <li>Health Science,</li> <li>Earth Science,</li> <li>Geology,</li> <li>Social Sciences,</li> <li>Industrial research,</li> <li>Computer Science,</li> <li>Agriculture and Forestry,</li> <li>Environmental Sciences,</li> <li>Statistics,</li> <li>Engineering,</li> <li>Natural Sciences,</li> <li>Political Sciences.</li> </ul> <p><strong><u>JOURNAL PARTICULARS</u></strong></p> <table> <tbody> <tr> <td width="281"> <p>Title</p> </td> <td width="517"> <p><strong>Asian Journal of Mathematical Sciences</strong></p> </td> </tr> <tr> <td width="281"> <p>Frequency</p> </td> <td width="517"> <p>Quarterly</p> </td> </tr> <tr> <td width="281"> <p>E- ISSN</p> </td> <td width="517"> <p><strong>2581-3463</strong></p> </td> </tr> <tr> <td width="281"> <p>P-ISSN</p> </td> <td width="517"> <p><strong>-</strong></p> </td> </tr> <tr> <td width="281"> <p>DOI</p> </td> <td width="517"> <p><strong>https://doi.org/10.22377/ajms.v1i1</strong></p> </td> </tr> <tr> <td width="281"> <p>Publisher</p> </td> <td width="517"> <p><strong>Mr. Rahul Nahata</strong>, B.R. Nahata College of Pharmacy, Mhow-Neemuch Road, Mandsaur-458001, Madhya Pradesh</p> </td> </tr> <tr> <td width="281"> <p>Chief Editor</p> </td> <td width="517"> <p>Dr. M.A. Naidu</p> </td> </tr> <tr> <td width="281"> <p>Starting Year</p> </td> <td width="517"> <p>2017</p> </td> </tr> <tr> <td width="281"> <p>Subject</p> </td> <td width="517"> <p>Mathematics subjects</p> </td> </tr> <tr> <td width="281"> <p>Language</p> </td> <td width="517"> <p>English Language</p> </td> </tr> <tr> <td width="281"> <p>Publication Format</p> </td> <td width="517"> <p>Online</p> </td> </tr> <tr> <td width="281"> <p>Email Id</p> </td> <td width="517"> <p>[email protected],[email protected]</p> </td> </tr> <tr> <td width="281"> <p>Mobile No.</p> </td> <td width="517"> <p>+91-7049737901</p> </td> </tr> <tr> <td width="281"> <p>Website</p> </td> <td width="517"> <p>www.ajms.in</p> </td> </tr> <tr> <td width="281"> <p>Address</p> </td> <td width="517"> <p>B.R. Nahata Smriti Sansthan, BRNSS PUBLICATION HUB, B.R. Nahata College of Pharmacy, Mhow-Neemuch Road, Mandsaur-458001, Madhya Pradesh</p> </td> </tr> </tbody> </table> <p> </p> BRNSS Publication Hub en-US Asian Journal of Mathematical Sciences(AJMS) <p>This is an Open Access article distributed under the terms of the Attribution-Noncommercial 4.0 International License [CC BY-NC 4.0], which requires that reusers give credit to the creator. It allows reusers to distribute, remix, adapt, and build upon the material in any medium or format, for noncommercial purposes only.</p> SPECTRAL THEORY AND FUNCTIONAL CALCULI IN THE REFLEXIVE BANACH SPACES http://www.ajms.in/index.php/ajms/article/view/553 <p>This article establishes the correspondence between the functional calculi for the operator defined on the<br>Banach spaces and the spectral decomposition. We show that there is a functional calculus on Borel<br>algebra for each well-bounded operator ABLX <br>, which uniquely corresponds with a multiplication<br>operator on some  , ,  p L   <br>.</p> Mykola Ivanovich Yaremenko Copyright (c) 2024 Mykola Ivanovich Yaremenko https://creativecommons.org/licenses/by-nc/4.0 2024-09-15 2024-09-15 8 03 10.22377/ajms.v8i03.553 COEFFICIENT ESTIMATES FOR CERTAIN SUBCLASSES OF ANALYTIC AND BI-UNIVALENT FUNCTION ASSOCIA http://www.ajms.in/index.php/ajms/article/view/554 <p>Characterizing and estimating coefficients for subclasses of analytic and bi-univalent functions using<br>fractional derivative operators. In this paper, we propose two novel subclasses within the realm of<br>analytic and bi-univalent functions defined in the open unit disk U. By introducing these subclasses, we<br>derive estimates for the initial two Taylor-Maclaurin coefficients, specifically | | 2 a and<br>| | 3 a<br>, pertaining to<br>functions falling within these newly defined categories. This research paper sheds light on the behavior of<br>functions in these subclasses and contributes to the broader understanding of their analytic and geometric<br>properties.</p> Krisn Pratap Meena Copyright (c) 2024 Krisn Pratap Meena https://creativecommons.org/licenses/by-nc/4.0 2024-09-15 2024-09-15 8 03 10.22377/ajms.v8i03.554 PAGERANK-INSPIRED APPROACH FOR MODELING LONG-TERM BEHAVIOR IN STOCHASTIC GENE REGULATORY NETWORKS http://www.ajms.in/index.php/ajms/article/view/557 <p>Gene regulatory network (GRN) play a crucial role in understanding the complex interac-tions between<br>genes and their regulatory elements. However, accurately modeling the long-term behavior of GRNs<br>under stochasticity remains a challenging task. In this study, we propose a methodology that leverages the<br>concept of PageRank, originally developed for ranking web pages, to analyze the long-term behavior of<br>GRNs. This approach involves constructing a directed graph representation of the GRN, where genes are<br>represented as nodes and regulatory interactions as directed edges. We then adapt the PageRank<br>algorithm to the GRN context, considering the stochastic nature of gene expression and incorporating the<br>inherent randomness in regulatory interactions. By iteratively computing the PageRank scores, we obtain<br>a ranking of the transition states based on their long-term influence within the network. To evaluate the<br>effectiveness of our approach, we apply it to synthetic GRN models. Our findings cap-tured essential<br>aspects of the long-term behavior in stochastic GRNs. We observe that genes with higher PageRank<br>scores tend to have a greater influence on the overall network dynamics and exhibit more stable and<br>persistent expression patterns</p> Ebaifiyegha Ebimapogba Anthony Copyright (c) 2024 Ebaifiyegha Ebimapogba Anthony https://creativecommons.org/licenses/by-nc/4.0 2024-09-15 2024-09-15 8 03 10.22377/ajms.v8i03.557 AN IMPROVED MULTI-DERIVATIVE HYBRID LINEAR MULTISTEP METHODS FOR DIRECT SOLUTION OF THIRDORDER ORDINARY DIFFERENTIAL EQUATIONS http://www.ajms.in/index.php/ajms/article/view/558 <p>This article considered an improved multi-derivative Hybrid linear multistep methods (IMDHLMM) for<br>direct solution of third-order ordinary differential equations. Power series was used as the basis function<br>in the derivation of the method. An approximate solution from the basis function was interpolated at<br>some selected off-grid points while the third derivative of the approximate solution was collocated at all<br>grid and off-grid points to generate a system of linear equations for the determination of the unknown<br>parameters. The basic properties of the method such as order, consistency, zero stability, region of<br>absolute stability and convergence was tested. The method was implemented in block mode to solve third<br>order ordinary differential equations inlcuding Genesio equation to demonstrate the usability and<br>efficiency of the methods. The absolute error obtained in the numerical experiments showed a better<br>performance of the present method over some of the existing methods in the literature.</p> T.V. Abejide Copyright (c) 2024 T.V. Abejide https://creativecommons.org/licenses/by-nc/4.0 2024-09-15 2024-09-15 8 03 10.22377/ajms.v8i03.558