

You searched for zadeh 8: Paper Source PDF document Paper's Title:
A Comparison Between Two Different Stochastic Epidemic Models with Respect to the Entropy Author(s):
Farzad Fatehi and Tayebe Waezizadeh Department of Mathematics, Department of Pure Mathematics, Faculty
of Mathematics and Computer, Abstract:
In this paper at first a brief history of mathematical models is presented with the aim to clarify the reliability of stochastic models over deterministic models. Next, the necessary background about random variables and stochastic processes, especially Markov chains and the entropy are introduced. After that, entropy of SIR stochastic models is computed and it is proven that an epidemic will disappear after a long time. Entropy of a stochastic mathematical model determines the average uncertainty about the outcome of that random experiment. At the end, we introduce a chain binomial epidemic model and compute its entropy, which is then compared with the DTMC SIR epidemic model to show which one is nearer to reality. 7: Paper Source PDF document Paper's Title:
Solving Two Point Boundary Value Problems by Modified Sumudu Transform Homotopy Perturbation Method Author(s):
Asem AL Nemrat and Zarita Zainuddin School of Mathematical Sciences, Abstract:
This paper considers a combined form of the Sumudu transform with the modified homotopy perturbation method (MHPM) to find approximate and analytical solutions for nonlinear two point boundary value problems. This method is called the modified Sumudu transform homotopy perturbation method (MSTHPM). The suggested technique avoids the roundoff errors and finds the solution without any restrictive assumptions or discretization. We will introduce an appropriate initial approximation and furthermore, the residual error will be canceled in some points of the interval (RECP). Only a first order approximation of MSTHPM will be required, as compared to STHPM, which needs more iterations for the same cases of study. After comparing figures between approximate, MSTHPM, STHPM and numerical solutions, it is found through the solutions we have obtained that they are highly accurate, indicating that the MSTHPM is very effective, simple and can be used to solve other types of nonlinear boundary value problems (BVPs). 5: Paper Source PDF document Paper's Title:
pvalent Meromorphic Functions Involving Hypergeometric and Koebe Functions by Using Differential Operator Author(s):
S. Najafzadeh, S. R. Kulkarni and G. Murugusundaramoorthy
Department of Mathematics,
School of Science and Humanities, Abstract:
New classes of multivalent meromorphic functions involving hypergeometric and Koebe functions are introduced,we find some properties of these classes e.g. distortion bounds, radii of starlikeness and convexity, extreme points, Hadamard product and verify effect of some integral operator on members of these classes. 5: Paper Source PDF document Paper's Title:
On Closed Range C^{*}modular Operators Author(s):
Javad FarokhiOstad and Ali Reza Janfada Department of Mathematics, Abstract:
In this paper, for the class of the modular operators on Hilbert C^{*}modules, we give the conditions to closedness of their ranges. Also, the equivalence conditions for the closedness of the range of the modular projections on Hilbert C^{*}modules are discussed. Moreover, the mixed reverse order law for the MoorePenrose invertible modular operators are given. 5: Paper Source PDF document Paper's Title:
Applications of Von Neumann Algebras to Rigidity Problems of (2Step) Riemannian (Nil)Manifolds Author(s):
Atefeh HasanZadeh and HamidReza Fanai DFouman Faculty of Engineering, Department of Mathematical Sciences, Abstract:
In this paper, basic notions of von Neumann algebra and its direct analogues in the realm of groupoids and measure spaces have been considered. By recovering the action of a locally compact Lie group from a crossed product of a von Neumann algebra, other proof of one of a geometric propositions of O'Neil and an extension of it has been proposed. Also, using the advanced exploration of nilmanifolds in measure spaces and their corresponding automorphisms (Lie algebraic derivations) a different proof of an analytic theorem of Gordon and Mao has been attained. These two propositions are of the most important ones for rigidity problems of Riemannian manifolds especially 2step nilmanifolds. 4: Paper Source PDF document Paper's Title:
Strong Convergence Theorem for a Common Fixed Point of an Infinite Family of Jnonexpansive Maps with Applications Author(s):
Charlse Ejike Chidume, Otubo Emmanuel Ezzaka and Chinedu Godwin Ezea African University of Science and
Technology, Ebonyi State University, Nnamdi Azikiwe University, Abstract:
Let E be a uniformly convex and uniformly smooth real Banach space with dual space E^{*}. Let {T_{i}}^{∞}_{i=1} be a family of Jnonexpansive maps, where, for each i,~T_{i} maps E to 2^{E*}. A new class of maps, Jnonexpansive maps from E to E^{*}, an analogue of nonexpansive self maps of E, is introduced. Assuming that the set of common Jfixed points of {T_{i}}^{∞}_{i=1} is nonempty, an iterative scheme is constructed and proved to converge strongly to a point x^{*} in ∩^{∞}_{n=1}F_{J}T_{i}. This result is then applied, in the case that E is a real Hilbert space to obtain a strong convergence theorem for approximation of a common fixed point for an infinite family of nonexpansive maps, assuming existences. The theorem obtained is compared with some important results in the literature. Finally, the technique of proof is also of independent interest. 4: Paper Source PDF document Paper's Title:
Strong Convergence Theorems for a Common Zero of an Infinite Family of GammaInverse Strongly Monotone Maps with Applications Author(s):
Charles Ejike Chidume, Ogonnaya Michael Romanus, and Ukamaka Victoria Nnyaba African University of Science and
Technology, Abuja, Abstract:
Let E be a uniformly convex and uniformly smooth real Banach space with
dual space E^{*} and let A_{k}:E→E^{*},
k=1, 2, 3 , ... 3: Paper Source PDF document Paper's Title:
Certain Inequalities for P_Valent Meromorphic Functions with Alternating Coefficients Based on Integral Operator Author(s):
A. Ebadian, S. Shams and Sh. Najafzadeh
Department of Mathematics, Faculty of Science
Department of Mathematics, Faculty of Science Abstract:
In this paper we introduce the class of functions regular and multivalent in the and satisfying
where
is
a linear operator. 3: Paper Source PDF document Paper's Title:
On εsimultaneous Approximation in Quotient Spaces Author(s):
H. Alizadeh, Sh. Rezapour, S. M. Vaezpour Department of
Mathematics, Aazad Abstract:
The purpose of this paper is to develop a theory of best simultaneous approximation to εsimultaneous approximation. We shall introduce the concept of εsimultaneous pseudo Chebyshev, εsimultaneous quasi Chebyshev and εsimultaneous weakly Chebyshev subspaces of a Banach space. Then, it will be determined under what conditions these subspaces are transmitted to and from quotient spaces. 2: Paper Source PDF document Paper's Title:
Presentation a mathematical model for bone metastases control by using tamoxifen Author(s):
Maryam Nikbakht, Alireza Fakharzadeh Jahromi and Aghileh Heydari Department of Mathematics, Department of Mathematics, Department of Mathematics, Abstract:
Bone is a common site for metastases (secondary tumor) because of breast and prostate cancer. According to our evaluations the mathematical aspect of the effect of drug in bone metastases has not been studied yet. Hence, this paper suggested a new mathematical model for bone metastases control by using tamoxifen. The proposed model is a system of nonlinear partial differential equations. In this paper our purpose is to present a control model for bone metastases. At end by some numerical simulations, the proposed model is examined by using physician. 2: Paper Source PDF document Paper's Title:
Credibility Based Fuzzy Entropy Measure Author(s):
G. Yari, M. Rahimi, B. Moomivand and P. Kumar Department of Mathematics, Qarzolhasaneh Department of Mathematics and Statistics,
Abstract:
Fuzzy entropy is the entropy of a fuzzy variable, loosely representing the information of uncertainty. This paper, first examines both previous membership and credibility based entropy measures in fuzzy environment, and then suggests an extended credibility based measure which satisfies mostly in Du Luca and Termini axioms. Furthermore, using credibility and the proposed measure, the relative entropy is defined to measure uncertainty between fuzzy numbers. Finally we provide some properties of this Credibility based fuzzy entropy measure and to clarify, give some examples. 2: Paper Source PDF document Paper's Title:
Robust Error Analysis of Solutions to Nonlinear Volterra Integral Equation in L^{p} Spaces Author(s):
Hamid Baghani, Javad FarokhiOstad and Omid Baghani Department of Mathematics, Faculty of
Mathematics, Department of Mathematics, Faculty of
Basic Sciences, Department of Mathematics and Computer
Sciences, Abstract:
In this paper, we propose a novel strategy for proving an important inequality for a contraction integral equations. The obtained inequality allows us to express our iterative algorithm using a "for loop" rather than a "while loop". The main tool used in this paper is the fixed point theorem in the Lebesgue space. Also, a numerical example shows the efficiency and the accuracy of the proposed scheme. 1: Paper Source PDF document Paper's Title:
Approximation of an AQCQFunctional Equation and its Applications Author(s):
Choonkil Park and Jung Rye Lee Department of Mathematics, Department of Mathematics,
baak@hanyang.ac.kr Abstract:
This paper is a survey on the generalized HyersUlam stability of an AQCQfunctional equation in several spaces. Its content is divided into the following sections: 1. Introduction and preliminaries. 2. Generalized HyersUlam stability of an AQCQfunctional equation in Banach spaces: direct method. 3. Generalized HyersUlam stability of an AQCQfunctional equation in Banach spaces: fixed point method. 4. Generalized HyersUlam stability of an AQCQfunctional equation in random Banach spaces: direct method. 5. Generalized HyersUlam stability of an AQCQfunctional equation in random Banach spaces: fixed point method. 6. Generalized HyersUlam stability of an AQCQfunctional equation in nonArchimedean Banach spaces: direct method. 7. Generalized HyersUlam stability of an AQCQfunctional equation in nonArchimedean Banach spaces: fixed point method. 1: Paper Source PDF document Paper's Title:
Solving Fractional Transport Equation via Walsh Function Author(s):
A. Kadem
L. M. F. N., Mathematics Department, Abstract:
In this paper we give a complete proof of A method for the solution of fractional transport equation in threedimensional case by using Walsh function is presented. The main characteristic of this technique is that it reduces these problems to those of solving a system of algebraic equations, thus greatly simplifying the problem. 1: Paper Source PDF document Paper's Title:
Euler Series Solutions for Linear Integral Equations Author(s):
Mostefa Nadir and Mustapha Dilmi Department of Mathematics, Abstract:
In this work, we seek the approximate solution of linear integral equations by truncation Euler series approximation. After substituting the Euler expansions for the given functions of the equation and the unknown one, the equation reduces to a linear system, the solution of this latter gives the Euler coefficients and thereafter the solution of the equation. The convergence and the error analysis of this method are discussed. Finally, we compare our numerical results by others. Search and serve lasted 1 second(s). © 20042020 Austral Internet Publishing 