JOURNAL OF ADVANCES IN MATHEMATICS https://cirworld.com/index.php/jam JAM is scientific, international peer-reviewed/Referred online journal that is devoted to fields of Mathematics to provide rapid publication of articles frequently in its issues. JAM publishes original review papers, as well as auxiliary material such as: Research Papers, Case Studies, Review Articles and Reports etc. JAM is the place for exchange of information and research results within all areas of Mathematics and allied fields. CIRWORLD en-US JOURNAL OF ADVANCES IN MATHEMATICS 2347-1921 <p>Authors retain the copyright of their manuscripts, and all Open Access articles are distributed under the terms of the&nbsp;<a href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License</a>, which permits unrestricted use, distribution, and reproduction in any medium, provided that the original work is properly cited.</p> <p>The use of general descriptive names, trade names, trademarks, and so forth in this publication, even if not specifically identified, does not imply that these names are not protected by the relevant laws and regulations. The submitting author is responsible for securing any permissions needed for the reuse of copyrighted materials included in the manuscript.</p> <p>While the advice and information in this journal are believed to be true and accurate on the date of its going to press, neither the authors, the editors, nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein.</p> Common Fixed Point Results for Compatible Map in Digital Metric Spaces https://cirworld.com/index.php/jam/article/view/6458 <p>The aim of this paper is to define the concept of&nbsp; compatible maps and its variants in the setting of digital metric spaces and establish some common fixed point results for these maps. Also, an application&nbsp; of the proposed results is quoted in this note.</p> Sumitra Dalal ##submission.copyrightStatement## http://creativecommons.org/licenses/by/4.0 2017-12-11 2017-12-11 13 5 7387 7392 10.24297/jam.v13i4.6458 Solving the Oscillation Equation With Fractional Order Damping Term Using a New Fourier Transform Method https://cirworld.com/index.php/jam/article/view/6483 <p>We propose an adapted Fourier transform method that gives the solution of an oscillation equation with a fractional damping term in ordinary domain. After we mention a transformation of cosmic time to individual time (CTIT), we explain how it can reduce the problem from fractional form to ordinary form when it is used with Fourier transformation, via an example for 1 &lt; alpha &lt; 2; where alpha is the order of fractional derivative. Then, we give an application of the results.</p> OZLEM OZTURK MIZRAK ##submission.copyrightStatement## http://creativecommons.org/licenses/by/4.0 2017-12-16 2017-12-16 13 5 7393 7397 10.24297/jam.v13i5.6483 An Intriguing Approach to The Fractional Mellin Transform Method https://cirworld.com/index.php/jam/article/view/6482 <p>We propose an adapted Mellin transform method that gives the solution of a fractional di¤erential equation with variable coefficients in ordinary domain. After we mention a transformation<br>of cosmic time to individual time (CTIT), we explain how it can reduce the problem from fractional form to ordinary form when it is used with Mellin transformation, via an example for 0 &lt; alpha &lt; 1; where alpha is the order of fractional derivative. Then, we give an application of the results.</p> OZLEM OZTURK MIZRAK ##submission.copyrightStatement## http://creativecommons.org/licenses/by/4.0 2017-12-16 2017-12-16 13 5 7398 7402 10.24297/jam.v13i5.6482 Improved Newton-Raphson Methods for Solving Nonlinear Equations https://cirworld.com/index.php/jam/article/view/6533 <p>In this paper, we mainly study the numerical algorithms for simple root of nonlinear equations based on Newton-Raphson method. Two modified Newton-Raphson methods for solving nonlinear equations are suggested. Both of the methods are free from second derivatives. Numerical examples are made to show the performance of the presented methods, and to compare with other ones. The numerical results illustrate that the proposed methods are more efficient and performs better than Newton-Raphson method.</p> Liang Fang Lin Pang ##submission.copyrightStatement## http://creativecommons.org/licenses/by/4.0 2017-12-25 2017-12-25 13 5 7403 7407 The solvable subgroups of large order of L2(p) , p≥5 https://cirworld.com/index.php/jam/article/view/6578 <p>By using the following theoretical and computational algorithms , we determined the solvable subgroups of large order of the finite non-abelian simple linear groups G = L<sub>2</sub>(p) = PSL(2,p) , for p≥5 and p is a prime number , also their presentations and permutation representations have been found .</p> Abdullah A. Abduh Abeer A. AlGhawazi ##submission.copyrightStatement## http://creativecommons.org/licenses/by/4.0 2018-01-07 2018-01-07 13 5 7408 7415