


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,
University of Sussex,
Brighton BN1 9QH,
UK.
Email: f.fatehi@sussex.ac.uk
URL:
http://www.sussex.ac.uk/profiles/361251
Department of Pure Mathematics, Faculty
of Mathematics and Computer,
Shahid Bahonar University of Kerman,
Kerman 7616914111,
Iran.
Email: waezizadeh@uk.ac.ir
URL:
http://academicstaff.uk.ac.ir/en/tavaezizadeh
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.
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,
Universiti Sains Malaysia,
11800 Penang,
Malaysia.
Email: alnemrata@yahoo.com
zarita@usm.my
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).
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,
Fergusson College, Pune University,
Pune  411004,
India.
Najafzadeh1234@yahoo.ie
kulkarni_ferg@yahoo.com
School of Science and Humanities,
Vellore Institute of Technology, Deemed University,
Vellore  632014,
India.
gmsmoorthy@yahoo.com
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.
Paper's Title:
On Closed Range C^{*}modular Operators
Author(s):
Javad FarokhiOstad and Ali Reza Janfada
Department of Mathematics,
Faculty of Mathematics and Statistics Sciences,
University of Birjand, Birjand,
Iran.
Email: j.farokhi@birjand.ac.ir
ajanfada@birjand.ac.ir
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.
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,
College of Engineering, University of Tehran,
Iran.
Email: hasanzadeh.a@ut.ac.ir
Department of Mathematical Sciences,
Sharif University of Technology,
Iran
Email: fanai@sharif.edu
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.
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,
Abuja,
Nigeria.
Email:
cchidume@aust.edu.ng
Ebonyi State University,
Abakaliki,
Nigeria.
Email: mrzzaka@yahoo.com
Nnamdi Azikiwe University,
Awka,
Nigeria.
Email: chinedu.ezea@gmail.com
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.
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,
Nigeria.
Email: cchidume@aust.edu.ng
Email: romanusogonnaya@gmail.com
Email: nnyabavictoriau@gmail.com
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 , ...
be a family of inverse strongly monotone maps such that ∩^{∞}_{k=1}
A_{k}^{1}(0)≠∅.
A new iterative algorithm is constructed and proved to converge strongly to a
common zero of the family.
As a consequence of this result, a strong convergence theorem for approximating
a common Jfixed point for an infinite family of
gammastrictly Jpseudocontractive maps is proved. These results are new and
improve recent results obtained for these classes of nonlinear maps.
Furthermore, the technique of proof is of independent interest.
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
Urmia University, Urmia,
Iran
a.ebadian@mail.urmia.ac.ir
sa40shams@yahoo.com
Department of Mathematics, Faculty of Science
Maragheh University, Maragheh,
Iran
Shnajafzadeh@yahoo.com
Abstract:
In this paper we introduce the class of functions regular and multivalent in the and satisfying
where
is
a linear operator.
Coefficient inequalities, distortion bounds, weighted mean and
arithmetic mean of functions for this class have been obtained.
Paper's Title:
On εsimultaneous Approximation in Quotient Spaces
Author(s):
H. Alizadeh, Sh. Rezapour, S. M. Vaezpour
Department of
Mathematics, Aazad
Islamic University, Science and Research Branch, Tehran,
Iran
Department of Mathematics, Azarbaidjan
University of Tarbiat Moallem, Tabriz,
Iran
Department of Mathematics, Amirkabir
University of Technology, Tehran,
Iran
alizadehhossain@yahoo.com
sh.rezapour@azaruniv.edu
vaez@aut.ac.ir
URL:http://www.azaruniv.edu/~rezapour
URL:http://mathcs.aut.ac.ir/vaezpour
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.
Paper's Title:
Preserver of Local Spectrum of Skewproduct Operators
Author(s):
Rohollah Parvinianzadeh^{1,*}, Meysam Asadipour^{2} and Jumakhan Pazhman^{3}
^{1}Department
of Mathematics,
College of Sciences,
University of Yasouj,
Yasouj, 7591874934,
Iran.
Email: r.parvinian@yu.ac.ir
^{2}Department
of Mathematics,
College of Sciences,
University of Yasouj,
Yasouj, 7591874934,
Iran.
Email: Asadipour@yu.ac.ir
^{3}Department
of Mathematics,
Ghor Institute of higher education,
Afghanistan.
Email: jumapazhman@gmail.com
Abstract:
Let H and K be infinitedimensional complex Hilbert spaces, and B(H) (resp. B(K)) be the algebra of all bounded linear operators on H (resp. on K). For an operator T∈ B(H) and a vector h∈ H, let σ_{T}(h) denote the local spectrum of T at h. For two nonzero vectors h_{0}∈ H and k_{0}∈ K, we show that if two maps φ_{1} and φ_{2} from B(H) into B(K) satisfy
σ_{φ1(T)φ2(S)*}(k_{0})= σ_{TS*}(h_{0}})
for all T, S ∈ B(H), and their range containing all operators of rank at most two, then there exist bijective linear maps P : H→ K and Q : K→ H such that φ_{1}(T) = PTQ and φ_{2}(T)^{*} =Q^{1}T^{*}P^{1} for all T ∈ B(H). Also, we obtain some interesting results in this direction.
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,
Payame Noor University,
P.O.Box 193953697, Tehran,
Iran.
.Email:
maryam_nikbakht@pnu.ac.ir
Department of Mathematics,
Faculty of Basic Science,
Shiraz University of Technology.
Email:
a_fakharzadeh@sutech.ac.ir
Department of Mathematics,
Payame Noor University,
P.O.Box 193953697, Tehran,
Iran.
Email: aheidari@pnu.ac.ir
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.
Paper's Title:
Credibility Based Fuzzy Entropy Measure
Author(s):
G. Yari, M. Rahimi, B. Moomivand and P. Kumar
Department of Mathematics,
Iran University
of Science and Technology,
Tehran,
Iran.
Email:
Yari@iust.ac.ir
Email:
Mt_Rahimi@iust.ac.ir
URL:
http://www.iust.ac.ir/find.php?item=30.11101.20484.en
URL:
http://webpages.iust.ac.ir/mt_rahimi/en.html
Qarzolhasaneh
Mehr Iran Bank, Tehran,
Iran.
Email:
B.moomivand@qmb.ir
Department of Mathematics and Statistics,
University of Northern British Columbia,
Prince George, BC,
Canada.
Email:
Pranesh.Kumar@unbc.ca
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.
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,
University of Sistan and Baluchestan, P.O. Box 98135674, Zahedan,
Iran.
Email:
h.baghani@gmail.com
Department of Mathematics, Faculty of
Basic Sciences,
Birjand University of Technology, Birjand,
Iran.
Email: j.farrokhi@birjandut.ac.ir
Department of Mathematics and Computer
Sciences,
Hakim Sabzevari University, P.O. Box 397, Sabzevar,
Iran.
Email:
o.baghani@gmail.com
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.
Paper's Title:
A Fuzzy Soft Quotient Topology and Its Properties
Author(s):
Haripamyu, Riri Alfakhriati, Monika Rianti Helmi, Jenizon
Department of Mathematics and Data Science, Andalas University, Padang, Indonesia.
Email: haripamyu@sci.unand.ac.id
ririalfakhriati123@gmail.com
monikariantihelmi@sci.unand.ac.id
jenizon@gmail.com
Abstract:
This research is to construct a new topology on fuzzy soft set by using the concept of quotient topology. Then we study the concept of quotient map to define the fuzzy soft quotient map and provide some relevant properties of fuzzy soft quotient map. Furthermore, we give some examples related to fuzzy soft quotient topology and fuzzy soft quotient map to apply some properties of fuzzy soft quotient map.
Paper's Title:
ℵ0 Algebra and its Novel Application in Edge Detection
Author(s):
G. E. Chatzarakis^{1}, S. Dickson^{2}, S. Padmasekaran^{2}, S. L. Panetsos^{1}, and J. Ravi^{3}
^{1}Electrical
and Electronic Engineering Educators,
School of Pedagogical and Technological Education (ASPETE),
Marousi 15122, Athens,
Greece.
Email: geaxatz@otenet.gr,
spanetsos@aspete.gr
^{2}Mathematics,
Periyar University,
Periyar Palkalai Nagar, Salem, 636011, Tamilnadu,
India.
Email: dix.bern@gmail.com,
padmasekarans@periyaruniversity.ac.in
^{3}Department
of Mathematics, Amity University,
Bengaluru, Karnataka,
India.
Email:
jravistat@gmail.com
Abstract:
In this paper a new type of ℵ_{0}algebra has been defined. With its help, the fuzzy cross subalgebra and the fuzzy ηrelation on the ℵ_{0}algebra are introduced and their respective properties are derived. Moreover, the fuzzy cross ℵ_{0}ideal of the ℵ_{0}algebra is defined with some theorems and intuitionistic fuzzy ℵ_{0}ideals of the ℵ_{0}algebra are introduced. This fuzzy algebra concept is applied in image processing to detect edges. This ℵ_{0}algebra is a novelty in the field of research.
Paper's Title:
Approximation of an AQCQFunctional Equation and its Applications
Author(s):
Choonkil Park and Jung Rye Lee
Department of Mathematics,
Research Institute for Natural Sciences,
Hanyang University, Seoul 133791,
Korea;
Department of Mathematics,
Daejin University,
Kyeonggi 487711,
Korea
baak@hanyang.ac.kr
jrlee@daejin.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.
Paper's Title:
Solving Fractional Transport Equation via Walsh Function
Author(s):
A. Kadem
L. M. F. N., Mathematics Department,
University of Setif,
Algeria
abdelouahak@yahoo.fr
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.
Paper's Title:
Euler Series Solutions for Linear Integral Equations
Author(s):
Mostefa Nadir and Mustapha Dilmi
Department of Mathematics,
University of Msila 28000,
ALGERIA.
Email: mostefanadir@yahoo.fr
Email: dilmiistapha@yahoo.fr
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.
Paper's Title:
Fractional exp(φ(ξ)) Expansion Method and its Application to SpaceTime Nonlinear Fractional Equations
Author(s):
A. A. Moussa and L. A. Alhakim
Department of Management Information
System and Production Management,
College of Business and Economics, Qassim University,
P.O. BOX 6666, Buraidah: 51452,
Saudi Arabia.
Email: Alaamath81@gmail.com
URL:
https://scholar.google.com/citations?user=ccztZdsAAAAJ&hl=ar
Department of Management Information
System and Production Management,
College of Business and Economics, Qassim University,
P.O. BOX 6666, Buraidah: 51452,
Saudi Arabia.
Email: Lama2736@gmail.com
URL:
https://scholar.google.com/citations?user=OSiSh1AAAAAJ&hl=ar
Abstract:
In this paper, we mainly suggest a new method that depends on the fractional derivative proposed by Katugampola for solving nonlinear fractional partial differential equations. Using this method, we obtained numerous useful and surprising solutions for the spacetime fractional nonlinear WhithamBroerKaup equations and spacetime fractional generalized nonlinear HirotaSatsuma coupled KdV equations. The solutions obtained varied between hyperbolic, trigonometric, and rational functions, and we hope those interested in the reallife applications of the previous two equations will find this approach useful.
Paper's Title:
New Refinements for Integral and Sum Forms of Generalized Hölder Inequality For N Term
Author(s):
M. Jakfar, Manuharawati, D. Savitri
Mathematics Department,
Universitas Negeri Surabaya
Jalan Ketintang Gedung C8, Surabaya, 60321
Indonesia.
Email: muhammadjakfar@unesa.ac.id
manuharawati@unesa.ac.id
diansavitri@unesa.ac.id
Abstract:
We know that in the field of functional analysis, Hölder inequality is very well known, important, and very applicable. So many researchers are interested in discussing these inequalities. Many world mathematicians try to improve these inequalities. In general, the Hölder inequality has two forms, namely the integral form and the sum form. In this paper, we will introduce a new refinement of the generalization of Hölder inequalities in both integral and addition forms. Especially in the sum form, improvements will be introduced that are better than the previous improvements that have been published by Jingfeng Tian, Minghu Ha, and Chao Wang.
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