Articles

Painleve Analysis and Symmetry Analysis of the Two Dimensional Variable Coefficient Burgers Equation N. Muthumari

Painleve Analysis and Symmetry Analysis of the Two Dimensional Variable Coefficient Burgers Equation N. Muthumari

Abstract:  We discuss the painleve analysis of the variable coefficient of the Burgers equation. Next discuss the symmetries of the variable coefficient of the Burgers equation. We classify one-dimensional and two-dimensional subalgebras of the Burgers equation. Further reduction of these equations to second order equations....

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$k^{*}$-Continuous Function in Ideal Closure Spaces R. Gowri, M. Pavithra

$k^{*}$-Continuous Function in Ideal Closure Spaces R. Gowri, M. Pavithra

Abstract: In this paper, we have defined the concept $k^{*}$-continuous function in ideal closure spaces. In particular, the properties of open and closed maps, composite of $k^{*}$-continuous functions, characterization of $k^{*}$-homeomorphic functions in ideal closure spaces are explained in detail. Keywords: $k^{*}$-continuous functions, open map, closed map,...

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On Two General Integrals Involving Humbert's and Kummer's Hypergeometric Functions Ahmed Ali Atash, Hussein Saleh Bellehaj

On Two General Integrals Involving Humbert's and Kummer's Hypergeometric Functions Ahmed Ali Atash, Hussein Saleh Bellehaj

Abstract: The aim of this paper is to apply generalized Kummer's theorem and generalized Dixon's theorem due to Lavoie et al. to establish two general integrals involving Humbert's functions of two variables $ \varPhi_2 $, $ \varPsi_2 $ and Kummer's function $ {}_1F_1 $. Some interesting...

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Eco-epidemiological prey-predator model for limited growth prey species and susceptible-infected species S. Vijaya, J. Jayamal Singh and E. Rekha

Eco-epidemiological prey-predator model for limited growth prey species and susceptible-infected species S. Vijaya, J. Jayamal Singh and E. Rekha

Abstract: Presented dynamical behavior of a prey--predator system where both prey and predator populations are affected by diseases with susceptible--infected. We also analysis the system of equilibrium point and stability analysis. A system of four differential equation susceptible--infected prey species and predator species has been proposed...

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Some weaker forms of Continuity in Bitopological ordered spaces M. Y. Bakier, A. F. Sayed

Some weaker forms of Continuity in Bitopological ordered spaces M. Y. Bakier, A. F. Sayed

Abstract:  The main purpose of the present paper is to introduce and study some weaker forms of continuity in bitopological ordered spaces .Such as pairwise $I$-continuous maps, pairwise $D$-continuous maps, pairwise $B$-continuous maps, pairwise $I$-open maps, pairwise $D$-open maps, pairwise $B$-open maps, pairwise $I$-closed maps,...

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Local Convergence of a multi-point family of high order methods in Banach spaces under H$\ddot{o}$lder continuous derivative Ioannis K. Argyros, Santhosh George

Local Convergence of a multi-point family of high order methods in Banach spaces under H$\ddot{o}$lder continuous derivative Ioannis K. Argyros, Santhosh George

Abstract:  We present a local convergence analysis for a multi-point family of high order methods in order to approximate a solution of a nonlinear equation in a Banach space setting. The convergence ball and error estimates are given for these methods under H$\ddot{o}$lder continuity conditions....

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Compatible mappings of types using implicit relations in fuzzy metric spaces Pawan Kumar, Z.K.Ansari and Balbir Singh

Compatible mappings of types using implicit relations in fuzzy metric spaces Pawan Kumar, Z.K.Ansari and Balbir Singh

Abstract: In this paper, we prove some fixed point theorems with the notions of compatible mappings of type$(R)$, of type $(\chi)$ and of type $(E)$ using implicit relations in fuzzy metric space. Keywords: Fuzzy metric space, Compatible mappings, Compatible mappings of type $(R)$, of type $(\chi)$, of...

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On fuzzy simply* Lindelof spaces G.Thangaraj and S.Dharmasaraswathi

On fuzzy simply* Lindelof spaces G.Thangaraj and S.Dharmasaraswathi

Abstract: In this paper, the concept of fuzzy simply* Lindelof spaces is introduced and several characterizations of fuzzy simply* Lindelof spaces are given. The conditions under which fuzzy simply* Lindelof spaces become fuzzy simply Lindelof spaces, are obtained. Keywords: Fuzzy nowhere dense set, fuzzy first category set,...

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Recursive generation of prime numbers in the space of discrete geometries Yury Grigoryan, Yeghisabet Alaverdyan

Recursive generation of prime numbers in the space of discrete geometries Yury Grigoryan, Yeghisabet Alaverdyan

Abstract: New method of generating prime numbers through quantization of discrete geometrical space is proposed. It is shown that quantization of the geometrical space results in stratification of the space into subspaces in such a way that to each subspace a distinct indivisible line is associated....

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Two-Dimensional Conservative Solute Transport with Temporal and Scale-Dependent Dispersion: Analytical Solution R. R. Yadav and Lav Kush Kumar

Two-Dimensional Conservative Solute Transport with Temporal and Scale-Dependent Dispersion: Analytical Solution R. R. Yadav and Lav Kush Kumar

Abstract: This study develops a mathematical model for two-dimensional solute transport in a semi-infinite heterogeneous porous medium. The geological formation is initially not solute free. The nature of pollutants is considered conservative and gives out from space and time-dependent pulse type point source. Dispersion coefficient is...

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Note on the Kung-Traub Conjecture for Traub-type two-point Iterative methods for Quadratic Equations Kalyanasundaram Madhu

Note on the Kung-Traub Conjecture for Traub-type two-point Iterative methods for Quadratic Equations Kalyanasundaram Madhu

Abstract: In this work, we have developed two-point iterative methods with three function evaluations reaching more than fourth order convergence. Furthermore, we show that with the same number of function evaluations we can develop higher order two-point methods of order $r+3$, where $r$ is a...

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A class of multivalent analytic functions associated with fixed second coefficient M. Elumalai, S. Chinthamani and R. Ambrose Prabhu

A class of multivalent analytic functions associated with fixed second coefficient M. Elumalai, S. Chinthamani and R. Ambrose Prabhu

Abstract: In this present paper we obtain certain results on multivalent analytic functions, as an application of the principle of subordination, with fixed second coefficient. The influence of the second coefficient of $p$-valent analytic functions is realized in the results obtained. Keywords: Analytic functions, $p-$valent starlike...

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Shiying Wang and Xiaolei Ma, The tightly super 2-extra connectivity and 2-extra diagnosability of crossed cubes, Volume 2018, Number 1, Pages 201-218, 2018

Shiying Wang and Xiaolei Ma, The tightly super 2-extra connectivity and 2-extra diagnosability of crossed cubes, Volume 2018, Number 1, Pages 201-218, 2018

Abstract: Connectivity and diagnosability play an important role in measuring the fault tolerance of interconnection networks. As a topology structure of interconnection networks, the $n$-dimensional crossed cube $CQ_{n}$ has many good properties. In this paper, we study the 2-extra connectivity and 2-extra diagnosability of $CQ_{n}$. We...

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Tuhin Bera and Nirmal Kumar Mahapatra, On Neutrosophic Soft Metric Space, Volume 2018, Number 1, Pages 180-200, 2018

Tuhin Bera and Nirmal Kumar Mahapatra, On Neutrosophic Soft Metric Space, Volume 2018, Number 1, Pages 180-200, 2018

Abstract: In this paper, the notion of neutrosophic soft metric space $(NSMS)$ is introduced in terms of neutrosophic soft points and several related properties, structural characteristics have been investigated. Then the convergence of sequence in neutrosophic soft metric space is defined and illustrated by examples....

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Abdul Khaliq and SK. Sarif Hassan, Dynamics of a rational difference equation $ x_{n+1}=ax_{n}+\dfrac{\alpha +\beta x_{n-k}}{A+Bx_{n-k}}$, Volume 2018, Number 1, Pages 159-179, 2018

Abdul Khaliq and SK. Sarif Hassan, Dynamics of a rational difference equation $ x_{n+1}=ax_{n}+\dfrac{\alpha +\beta x_{n-k}}{A+Bx_{n-k}}$, Volume 2018, Number 1, Pages 159-179, 2018

Abstract: A nonlinear rational difference equation $x_{n+1}=ax_{n}+\dfrac{\alpha +\beta x_{n-k}}{A+Bx_{n-k}},\;\;\;n=0,1,...,$ of higher order is considered to apprehend the dynamics viz. the invariant intervals, periodic solutions, the character of semi-cycles and global asymptotic stability. {\Large \noindent }Here all the parameters $a$, $% \alpha $, $\beta $ and $A$,...

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Ho Vu, Tran Thanh Loc, The Averaging Method for Uncertain Differential Equation, Volume 2018, Number 1, Pages 146-158, 2018

Ho Vu, Tran Thanh Loc, The Averaging Method for Uncertain Differential Equation, Volume 2018, Number 1, Pages 146-158, 2018

Abstract: In this paper, we consider the averaging principle for the general uncertain differential equations under a Lipschitz condition. The solutions of convergence in mean square and convergence in uncertain measure between standard uncertain differential equation and the corresponding averaged uncertain delay differential equation are considered....

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Artion Kashuri, Rozana Liko, Some new integral inequalities for generalized $(s,m,\varphi)$-preinvex Godunova-Levin functions, Volume 2018, Number 1, Pages 134-145, 2018

Artion Kashuri, Rozana Liko, Some new integral inequalities for generalized $(s,m,\varphi)$-preinvex Godunova-Levin functions, Volume 2018, Number 1, Pages 134-145, 2018

Abstract: In the present paper, a new class of generalized $(s,m,\varphi)$-preinvex Godunova-Levin function of the second kind is introduced and some new integral inequalities for the left-hand side of Gauss-Jacobi type quadrature formula are given. Moreover, by using new identity via classical integrals some Hermite-Hadamard, Simpson...

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Rayees Ahmad and Syed Najamul Hasan, New Type of Generalized Difference Sequence Space, Volume 2017, Number 1, Pages 120-133, 2018

Rayees Ahmad and Syed Najamul Hasan, New Type of Generalized Difference Sequence Space, Volume 2017, Number 1, Pages 120-133, 2018

Abstract: The space $r^q(u,p,s)$ of non-absolute type have recently been introduced and studied (see, M. F. Rahman and A. B. M. R. Karim, Generalized Riesz sequence space of non-absolute type and some matrix mappings, Pure and Applied Math. Journal, 4(3)(2015), 90-95). In the present paper, we...

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Gulshan Singh, Generalizations of Enestr¨om-Kakeya Theorem, Volume 2018, Number 1, Pages 109-119, 2018

Gulshan Singh, Generalizations of Enestr¨om-Kakeya Theorem, Volume 2018, Number 1, Pages 109-119, 2018

Abstract: If $P(z):=\sum_{j=0}^{n} \alpha_{j}z^{j}$ be a polynomial of degree n such that $ \alpha_{j}=a_{j}+ib_{j} $ where $a_{j}$ and $b_{j}$, j=0,1,...,n are real numbers. In this paper, we prove some extensions and generalizations of the classical results of the well known Enestr\"{o}m-Kakeya theorem by imposing restrictions on...

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