JOURNAL OF ADVANCES IN MATHEMATICS https://cirworld.com/index.php/jam Interested in submitting to this journal? We recommend that you review the About the Journal page for the journal's section policies, as well as the Author Guidelines. Authors need to register with the journal prior to submitting or, if already registered, can simply log in and begin the five-step process. en-US <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>&nbsp;</p> editor@cirworld.com (Gurdev Singh) jam@cirworld.com (Bikramjit Singh) Thu, 31 Jan 2019 00:00:00 +0000 OJS 3.1.1.4 http://blogs.law.harvard.edu/tech/rss 60 Congruences on *-Simple Type A I-Semigroups https://cirworld.com/index.php/jam/article/view/7980 <p>This paper obtains a characterisation of the congruences on *-simple type A I-semigroups. The *-locally idempotent-separating congruences, strictly *-locally idempotent-separating congruences and minimum cancellative monoid congruences, are characterised.</p> Ugochukwu Ndubuisi, Asibong-Ibe U.I, Udoaka O.G ##submission.copyrightStatement## http://creativecommons.org/licenses/by/4.0 https://cirworld.com/index.php/jam/article/view/7980 Thu, 31 Jan 2019 04:25:40 +0000 Some Techniques to Compute Multiplicative Inverses for Advanced Encryption Standard https://cirworld.com/index.php/jam/article/view/8016 <p>This paper gives some techniques to compute the set of multiplicative inverses, which uses in the Advanced Encryption Standard (AES).</p> <p>&nbsp;</p> Waleed Eltayeb Ahmed ##submission.copyrightStatement## http://creativecommons.org/licenses/by/4.0 https://cirworld.com/index.php/jam/article/view/8016 Thu, 31 Jan 2019 04:25:51 +0000 Some modifications on RCAM for getting accurate closed-form approximate solutions of Duffing- and Lienard-type equations https://cirworld.com/index.php/jam/article/view/8017 <p>In this work, authors propose some modifications Adomian decomposition method to get some accurate closed form&nbsp;approximate or exact solutions of Duffing- and Li´enard-type nonlinear ordinary differential equations.<br>Results obtained by the revised scheme have been exploited subsequently to derive constraints among parameters&nbsp;to get the solutions to be bounded. The present scheme appears to be efficient and may be regarded as&nbsp;the confluence of apparently different methods for getting exact solutions for a variety of nonlinear ordinary&nbsp;differential equations appearing as mathematical models in several physical processes.</p> Prakash Kumar Das, Debabrata Singh, Madan Mohan Panja ##submission.copyrightStatement## http://creativecommons.org/licenses/by/4.0 https://cirworld.com/index.php/jam/article/view/8017 Thu, 31 Jan 2019 04:26:04 +0000 A Unique Solution of Stochastic Partial Differential Equations with Non-Local Initial condition https://cirworld.com/index.php/jam/article/view/8018 <p>In this paper, we shall discuss the uniqueness ”pathwise uniqueness”&nbsp;of the solutions of stochastic partial differential equations (SPDEs) with&nbsp;non-local initial condition,<br><img src="/public/site/images/mel-borai/222.JPG"><br>We shall use the Yamada-Watanabe condition for ”pathwise uniqueness”&nbsp;of the solutions of the stochastic differential equation; this condition is&nbsp;weaker than the usual Lipschitz condition. The proof is based on Bihari’s<br>inequality.</p> Mahmoud Mohammed Mostafa El-Borai, A. Tarek S.A. ##submission.copyrightStatement## http://creativecommons.org/licenses/by/4.0 https://cirworld.com/index.php/jam/article/view/8018 Thu, 31 Jan 2019 04:26:15 +0000 The Hermite Hadamard Inequality on Hypercuboid https://cirworld.com/index.php/jam/article/view/8053 <p>Given any a := (a1; a2,... ; an) and b := (b1; b2;... ; bn) in Rn.&nbsp;The n-fold convex function dened on [a; b], a; b 2 Rn with a &lt; b is a convex&nbsp;function in each variable separately. In this work we prove an inequality of&nbsp;Hermite-Hadamard type for n-fold convex functions. Namely, we establish the&nbsp;inequality</p> <p><img src="/public/site/images/editor/Untitled_11112.png"></p> <p><img src="/public/site/images/editor/Untitled_32.png"></p> Mohammad W Alomari ##submission.copyrightStatement## http://creativecommons.org/licenses/by/4.0 https://cirworld.com/index.php/jam/article/view/8053 Thu, 31 Jan 2019 04:26:19 +0000 Solutions of Some Difference Equations Systems and Periodicity https://cirworld.com/index.php/jam/article/view/8057 <p>In this article, analysis and investigation have been conducted on the periodic&nbsp;nature as well as the type of the solutions of the subsequent schemes of&nbsp;rational difference equations</p> <p><img src="/public/site/images/editor/Untitled1.png" width="336" height="58"><br>with a nonzero real numbers initial conditions.</p> Elsayed M. Elsayed, Faris Alzahrani, Ibrahim Abbas, N. H. Alotaibi ##submission.copyrightStatement## http://creativecommons.org/licenses/by/4.0 https://cirworld.com/index.php/jam/article/view/8057 Thu, 31 Jan 2019 04:26:23 +0000 On the Navier-Stokes problem https://cirworld.com/index.php/jam/article/view/8088 <p>One of the millennium problems is discussed. The results of the author’s solution to&nbsp;this problem are explained. The problem discussed is the Navier-Stokes problem in the&nbsp;whole space.</p> Alexander G. Ramm ##submission.copyrightStatement## http://creativecommons.org/licenses/by/4.0 https://cirworld.com/index.php/jam/article/view/8088 Thu, 31 Jan 2019 00:00:00 +0000 Inverse Scattering with Non-Over-Determined Data https://cirworld.com/index.php/jam/article/view/8089 <p>The results of the author’s theory of the inverse scattering with non-over-determined&nbsp;data are described.</p> Alexander G. Ramm ##submission.copyrightStatement## http://creativecommons.org/licenses/by/4.0 https://cirworld.com/index.php/jam/article/view/8089 Thu, 31 Jan 2019 00:00:00 +0000 Intransitive Permutation Groups with Bounded Movement Having Maximum Degree https://cirworld.com/index.php/jam/article/view/8091 <p>Let G be a permutation group on a set <img src="/public/site/images/editor/CaptureO.PNG">with no fixed points&nbsp;in <img src="/public/site/images/editor/CaptureO1.PNG">and let m be a positive integer. If for each subset <img src="/public/site/images/editor/Capture_ell.PNG">of&nbsp;<img src="/public/site/images/editor/CaptureO2.PNG"> the&nbsp;size&nbsp;<img src="/public/site/images/editor/Capture_ell2.PNG"> is bounded, for <img src="/public/site/images/editor/Captureg.PNG">, we define the movement of g as the&nbsp;max&nbsp;<img src="/public/site/images/editor/Capture_ell21.PNG"> over all subsets <img src="/public/site/images/editor/Capture_ell1.PNG">of <img src="/public/site/images/editor/CaptureO3.PNG">. In this paper we classified all of&nbsp;permutation groups on set <img src="/public/site/images/editor/CaptureO4.PNG">of size 3m + 1 with 2 orbits such that&nbsp;has movement m .&nbsp;2000 AMS classification subjects: 20B25</p> Behnam Razzagh ##submission.copyrightStatement## http://creativecommons.org/licenses/by/4.0 https://cirworld.com/index.php/jam/article/view/8091 Thu, 31 Jan 2019 00:00:00 +0000 Existence and Uniqueness of Abstract Stochastic Fractional-Order Differential Equation https://cirworld.com/index.php/jam/article/view/8097 <p style="-qt-block-indent: 0; text-indent: 0px; margin: 0px;">In this paper, the existence and uniqueness about the solution for a class of abstract stochastic fractional-order differential equations</p> <p style="-qt-block-indent: 0; text-indent: 0px; margin: 0px;">&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;<img src="/public/site/images/editor/Capture_new1.PNG"></p> <p style="-qt-block-indent: 0; text-indent: 0px; margin: 0px;">where&nbsp;<img src="/public/site/images/editor/Capture_new2.PNG"> in and&nbsp;<img src="/public/site/images/editor/Capture_new31.PNG"> are given functions, are investigated, where the fractional derivative is described in Caputo sense. The fractional calculus, stochastic analysis techniques and the standard $Picard's$ iteration method are used to obtain the required.</p> Mahmoud Mohammed Mostafa El-Borai, A. Tarek S.A. ##submission.copyrightStatement## http://creativecommons.org/licenses/by/4.0 https://cirworld.com/index.php/jam/article/view/8097 Thu, 31 Jan 2019 00:00:00 +0000