JOURNAL OF ADVANCES IN MATHEMATICS https://cirworld.com/index.php/jam JAM is scientific, scholarly, peer-reviewed, fully referred international journal CIRWORLD en-US JOURNAL OF ADVANCES IN MATHEMATICS 2347-1921 <p><a href="https://cirworld.com/cir/copyright-notice/" target="_blank">Copyright Notice</a></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