https://cirworld.com/index.php/jam/issue/feedJOURNAL OF ADVANCES IN MATHEMATICS2019-03-21T11:46:54+00:00Gurdev Singheditor@cirworld.comOpen Journal SystemsInterested 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.https://cirworld.com/index.php/jam/article/view/7980Congruences on *-Simple Type A I-Semigroups2019-03-21T11:46:44+00:00Ugochukwu Ndubuisiu_ndubuisi@yahoo.comAsibong-Ibe U.Iu_ndubuisi@yahoo.comUdoaka O.Gu_ndubuisi@yahoo.com<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>2019-01-31T04:25:40+00:00##submission.copyrightStatement##https://cirworld.com/index.php/jam/article/view/8016Some Techniques to Compute Multiplicative Inverses for Advanced Encryption Standard2019-03-21T11:46:42+00:00Waleed Eltayeb Ahmedwadtayeb@yahoo.com<p>This paper gives some techniques to compute the set of multiplicative inverses, which uses in the Advanced Encryption Standard (AES).</p> <p> </p>2019-01-31T04:25:51+00:00##submission.copyrightStatement##https://cirworld.com/index.php/jam/article/view/8017Some modifications on RCAM for getting accurate closed-form approximate solutions of Duffing- and Lienard-type equations2019-03-21T11:46:40+00:00Prakash Kumar Dasprakashdas.das1@gmail.comDebabrata Singhdebabratasingh01@gmail.comMadan Mohan Panjamadanpanja2005@yahoo.co.in<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>2019-01-31T04:26:04+00:00##submission.copyrightStatement##https://cirworld.com/index.php/jam/article/view/8018A Unique Solution of Stochastic Partial Differential Equations with Non-Local Initial condition2019-03-21T11:46:37+00:00Mahmoud Mohammed Mostafa El-Boraim_m_elborai@yahoo.comA. Tarek S.A.ahmedsayed2890@gmail.com<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>2019-01-31T04:26:15+00:00##submission.copyrightStatement##https://cirworld.com/index.php/jam/article/view/8053The Hermite Hadamard Inequality on Hypercuboid2019-03-21T11:46:35+00:00Mohammad W Alomarimwomath@gmail.com<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>2019-01-31T04:26:19+00:00##submission.copyrightStatement##https://cirworld.com/index.php/jam/article/view/8057Solutions of Some Difference Equations Systems and Periodicity2019-03-21T11:46:33+00:00Elsayed M. Elsayedemmelsayed@yahoo.comFaris Alzahranifaris.kau@hotmail.comIbrahim Abbasemmelsayed@yahoo.comN. H. Alotaibin.h.ob@hotmail.com<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>2019-01-31T04:26:23+00:00##submission.copyrightStatement##https://cirworld.com/index.php/jam/article/view/8088On the Navier-Stokes problem2019-03-21T11:46:54+00:00Alexander G. Rammramm@math.ksu.edu<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>2019-01-31T00:00:00+00:00##submission.copyrightStatement##https://cirworld.com/index.php/jam/article/view/8089Inverse Scattering with Non-Over-Determined Data2019-03-21T11:46:52+00:00Alexander G. Rammramm@math.ksu.edu<p>The results of the author’s theory of the inverse scattering with non-over-determined data are described.</p>2019-01-31T00:00:00+00:00##submission.copyrightStatement##https://cirworld.com/index.php/jam/article/view/8091Intransitive Permutation Groups with Bounded Movement Having Maximum Degree2019-03-21T11:46:49+00:00Behnam Razzaghb_razzagh@yahoo.com<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>2019-01-31T00:00:00+00:00##submission.copyrightStatement##https://cirworld.com/index.php/jam/article/view/8097Existence and Uniqueness of Abstract Stochastic Fractional-Order Differential Equation2019-03-21T11:46:47+00:00Mahmoud Mohammed Mostafa El-Boraim_m_elborai@yahoo.comA. Tarek S.A.ahmedsayed2890@gmail.com<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>2019-01-31T00:00:00+00:00##submission.copyrightStatement##https://cirworld.com/index.php/jam/article/view/8113Initial Value Problem for Stochastic Hyprid Hadamard Fractional Differential Equation2019-03-21T11:46:30+00:00Mahmoud Mohammed Mostafa El-Boraim_m_elborai@yahoo.comWagdy G. El-sayedwagdygoma@Alexu.edu.egA. A. Badrbadrzoo@yahoo.comAhmed Tarek Sayedahmedsayed2890@gmail.com<p>In this paper, we discuss the existence of solutions for a stochastic initial value problem of Hyprid fractional dierential equations of Hadamard type given by </p> <p> <img src="/public/site/images/editor/Capture_jam.PNG"></p> <p>where HD is the Hadamard fractional derivative, <img src="/public/site/images/editor/Capturejam2.PNG"><img src="/public/site/images/editor/Capturejam3.PNG">and <img src="/public/site/images/editor/Capture111.PNG">is the Hadamard fractional integral and <img src="/public/site/images/editor/Capture.PNG">be such that <img src="/public/site/images/editor/Capture222.PNG">are investigated. The fractional calculus and stochastic analysis techniques are used to obtain the required results. </p>2019-02-28T00:00:00+00:00##submission.copyrightStatement##https://cirworld.com/index.php/jam/article/view/8152A New Inexact Non-Interior Continuation Algorithm for Second-Order Cone Programming2019-03-21T11:46:23+00:00Liang Fangfangliang3@163.com<p>Second-order cone programming has received considerable attention in the past decades because of its wide range of applications. Non-interior continuation method is one of the most popular and efficient methods for solving second-order cone programming partially due to its superior numerical performances. In this paper, a new smoothing form of the well-known Fischer-Burmeister function is given. Based on the new smoothing function, an inexact non-interior continuation algorithm is proposed. Attractively, the new algorithm can start from an arbitrary point, and it solves only one system of linear equations inexactly and performs only one line search at each iteration. Moreover, under a mild assumption, the new algorithm has a globally linear and locally Q-quadratical convergence. Finally, some preliminary numerical results are reported which show the effectiveness of the presented algorithm.</p>2019-02-28T06:21:39+00:00##submission.copyrightStatement##https://cirworld.com/index.php/jam/article/view/8167A way to compute a greatest common divisor in the Galois field (GF (2^n ))2019-03-21T11:46:25+00:00Waleed Eltayeb Ahmedwadtayeb@yahoo.com<p>This paper presents how the steps that used to determine a multiplicative inverse by method based on the Euclidean algorithm, can be used to find a greatest common divisor for polynomials in the Galois field (2^n ).</p>2019-02-28T00:00:00+00:00##submission.copyrightStatement##https://cirworld.com/index.php/jam/article/view/8124On the Mixed Dirichlet--Farwig biharmonic problem in exterior domains2019-03-21T11:46:28+00:00Hovik A. Matevossianhmatevossian@graduate.org<p>We study the properties of generalized solutions in unbounded domains and the asymptotic behavior of solutions of elliptic boundary value problems at infinity. Moreover, we study the unique solvability of the mixed Dirichlet--Farwig biharmonic problem in the exterior of a compact set under the assumption that generalized solutions of these problems has a bounded Dirichlet integral with weight $|x|^a$. Admitting different boundary conditions, we used the variation principle and depending on the value of the parameter $a$, we obtained uniqueness (non-uniqueness) theorems of the problem or present exact formulas for the dimension of the space of solutions.</p>2019-02-28T00:00:00+00:00##submission.copyrightStatement##