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.KHALSA PUBLICATIONSen-USJOURNAL OF ADVANCES IN MATHEMATICS2347-1921<p>Authors retain the copyright of their manuscripts, and all Open Access articles are distributed under the terms of the <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> </p>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 NdubuisiAsibong-Ibe U.IUdoaka O.G
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2019-01-312019-01-31168199820710.24297/jam.v16i0.7980Some 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> </p>Waleed Eltayeb Ahmed
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2019-01-312019-01-31168208821210.24297/jam.v16i0.8016Some 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 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 to get the solutions to be bounded. The present scheme appears to be efficient and may be regarded as the confluence of apparently different methods for getting exact solutions for a variety of nonlinear ordinary differential equations appearing as mathematical models in several physical processes.</p>Prakash Kumar DasDebabrata SinghMadan Mohan Panja
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2019-01-312019-01-31168213822510.24297/jam.v16i0.8017A 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” of the solutions of stochastic partial differential equations (SPDEs) with 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” of the solutions of the stochastic differential equation; this condition is weaker than the usual Lipschitz condition. The proof is based on Bihari’s<br>inequality.</p>Mahmoud Mohammed Mostafa El-BoraiA. Tarek S.A.
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2019-01-312019-01-31168226823310.24297/jam.v16i0.8018The 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. The n-fold convex function dened on [a; b], a; b 2 Rn with a < b is a convex function in each variable separately. In this work we prove an inequality of Hermite-Hadamard type for n-fold convex functions. Namely, we establish the 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
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2019-01-312019-01-31168234824610.24297/jam.v16i0.8053Solutions 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 nature as well as the type of the solutions of the subsequent schemes of 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. ElsayedFaris AlzahraniIbrahim AbbasN. H. Alotaibi
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2019-01-312019-01-31168247826110.24297/jam.v16i0.8057On 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 this problem are explained. The problem discussed is the Navier-Stokes problem in the whole space.</p>Alexander G. Ramm
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2019-01-312019-01-31168262826610.24297/jam.v16i0.8088Inverse 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 data are described.</p>Alexander G. Ramm
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2019-01-312019-01-31168267827110.24297/jam.v16i0.8089Intransitive 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 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 <img src="/public/site/images/editor/CaptureO2.PNG"> the size <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 max <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 permutation groups on set <img src="/public/site/images/editor/CaptureO4.PNG">of size 3m + 1 with 2 orbits such that has movement m . 2000 AMS classification subjects: 20B25</p>Behnam Razzagh
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2019-01-312019-01-31168272827910.24297/jam.v16i0.8091Existence 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;"> <img src="/public/site/images/editor/Capture_new1.PNG"></p> <p style="-qt-block-indent: 0; text-indent: 0px; margin: 0px;">where <img src="/public/site/images/editor/Capture_new2.PNG"> in and <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-BoraiA. Tarek S.A.
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2019-01-312019-01-31168280828710.24297/jam.v16i0.8097