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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:
Composite VariationalLike Inequalities Given By Weakly Relaxed ζSemiPseudomonotone MultiValued Mapping Author(s):
Syed Shakaib Irfan, Iqbal Ahmad, Zubair Khan and Preeti Shukla College of Engineering, Qassim University
College of Engineering, Qassim University
Department of Mathematics, Department of Mathematics,
Abstract:
In this article, we introduce a composite variationallike inequalities with weakly relaxed ζpseudomonotone multivalued maping in reflexive Banach spaces. We obtain existence of solutions to the composite variationallike inequalities with weakly relaxed ζpseudomon otone multivalued maps in reflexive Banach spaces by using KKM theorem. We have also checked the solvability of the composite variationallike inequalities with weakly relaxed ζsemipseudomonotone multivalued maps in arbitrary Banach spaces using KakutaniFanGlicksberg fixed point theorem. 4: Paper Source PDF document Paper's Title:
Some Convergence Results for JungckAm Iterative Process In Hyperbolic Spaces Author(s):
Akindele Adebayo Mebawondu and Oluwatosin Temitope Mewomo School of Mathematics, Statistics and Computer Science,
Abstract:
In this paper, we introduce a new three steps iterative process called JungckAM iterative process and show that the proposed iterative process can be used to approximate fixed points of Jungckcontractive type mappings and JungckSuzuki type mappings. In addition, we establish some strong and Δconvergence results for the approximation of fixed points of JungckSuzuki type mappings in the frame work of uniformly convex hyperbolic space. Furthermore, we show that the newly proposed iterative process has a better rate of convergence compare to the JungckNoor, JungckSP, JungckCR and some existing iterative processes in the literature. Finally, stability, data dependency results for JungckAM iterative process is established and we present an analytical proof and numerical examples to validate our claim. 3: Paper Source PDF document Paper's Title:
Common Fixed Point Results for Banach Operator Pairs and Applications to Best Approximation Author(s):
Hemant Kumar Nashine
Department of Mathematics, hemantnashine@rediffmail.com Abstract:
The common fixed point results for Banach operator pair with generalized nonexpansive mappings in qnormed space have been obtained in the present work. As application, some more general best approximation results have also been determined without the assumption of linearity or affinity of mappings. These results unify and generalize various existing known results with the aid of more general class of noncommuting mappings. 2: Paper Source PDF document Paper's Title:
On Sufficient Conditions for Strong Starlikeness Author(s):
V. Ravichandran, M. H. Khan, M. Darus, And K. G. Subramanian School of Mathematical Sciences, Universiti Sains Malaysia,
11800 Usm Penang, Malaysia Abstract:
In the present investigation, we obtain some sufficient conditions for a normalized analytic function f(z) defined on the unit disk to satisfy the condition
2: Paper Source PDF document Paper's Title:
Existence Results for Perturbed Fractional Differential Inclusions Author(s):
Y.K. Chang
Department of Mathematics, Abstract:
This paper is mainly concerned with the following fractional differential inclusions with boundary condition
A sufficient condition is established for the existence of solutions of the above problem by using a fixed point theorem for multivalued maps due to Dhage. Our result is proved under the mixed generalized Lipschitz and Carathéodory conditions. 2: Paper Source PDF document Paper's Title:
The Dynamics of an Ebola Epidemic Model with Quarantine of Infectives Author(s):
Eliab Horub Kweyunga Department of Mathematics, Email: hkweyunga@kab.ac.ug Abstract:
The recurrent outbreaks of ebola in Africa present global health challenges. Ebola is a severe, very fatal disease with case fatality rates of up to 90%. In this paper, a theoretical deterministic model for ebola epidemic with quarantine of infectives is proposed and analyzed. The model exhibits two equilibria; the disease free and endemic equilibrium points. The basic reproduction number, R_{0}, which is the main threshold, is obtained and the stability of the equilibrium points established. Using parameter values drawn from the 2014 West Africa ebola outbreak, a numerical simulation of the model is carried out. It is found that the dynamics of the model are completely determined by R_{0} and that a quarantine success rate of at least 70% is sufficient to contain the disease outbreak. 2: Paper Source PDF document Paper's Title:
Convergence Speed of Some Random ImplicitKirktype Iterations for Contractivetype Random Operators Author(s):
H. Akewe, K.S. Eke Department of Mathematics, Abstract:
The main aim of this paper is to introduce a stochastic version of multistep type iterative scheme called a modified random implicitKirk multistep iterative scheme and prove strong convergence and stability results for a class of generalized contractivetype random operators. The rate of convergence of the random iterative schemes are also examined through an example. The results show that our new random implicit kirk multistep scheme perform better than other implicit iterative schemes in terms of convergence and thus have good potentials for further applications in equilibrium problems in computer science, physics and economics. 1: Paper Source PDF document Paper's Title:
FeketeSzegö Inequality for Certain Class of Analytic Functions Author(s):
V. Ravichandran, Maslina Darus, M. Hussain Khan, and K. G. Subramanian School of
Mathematical Sciences, Universiti Sains Malaysia, School of
Mathematical Sciences, Faculty of Sciences and Technology, Department of
Mathematics, Islamiah College, Department of
Mathematics, Madras Christian College, Tambaram,
Abstract:
In this present investigation, the authors obtain FeketeSzegö inequality for a certain class of analytic functions f(z) for which lies in a region starlike with respect to 1 and symmetric with respect to the real axis. Also certain application of our main result for a class of functions defined by Hadamard product (convolution) is given. As a special case of our result we obtain FeketeSzegö inequality for a class of functions defined through fractional derivatives. Also we obtain FeketeSzegö inequality for the inverse functions. 1: Paper Source PDF document Paper's Title:
Differential Sandwich Theorems for Some Subclasses of Analytic Functions Author(s):
T. N. Shanmugam, V. Ravichandran and S. Sivasubramanian
Department of Mathematics, College of Engineering,
School of Mathematical Sciences,
Department of Mathematics, Easwari Engineering college, Abstract:
Let _{} and _{} be univalent in _{} with _{} We give some applications of first order differential subordination and superordination to obtain sufficient conditions for normalized analytic function _{} with _{} to satisfy _{} 1: Paper Source PDF document Paper's Title:
On the FeketeSzegő Inequality for Some Subclasses of Analytic Functions Author(s):
T.N. Shanmugam and A. Singaravelu
Department of Mathematics,
Department of Mathematics, Abstract:
In this present investigation, the authors obtainFeketeSzegő's inequality for certain normalized analytic functions _{} defined on the open unit disk for which _{} lie in a region starlike with respect to 1 and symmetric with respect to the real axis. Also certain applications of the main result for a class of functions defined by convolution are given. As a special case of this result, FeketeSzegő's inequality for a class of functions defined through fractional derivatives is also obtained. 1: Paper Source PDF document Paper's Title:
Coincidences and Fixed Points of Hybrid Maps in Symmetric Spaces Author(s):
S. L. Singh and Bhagwati Prasad
Vedic MRI, 21 Govind Nagar,
Department of Mathematics, Gurukula Kangri University, Abstract:
The purpose of this paper is to obtain a new coincidence theorem for a singlevalued and two multivalued operators in symmetric spaces. We derive fixed point theorems and discuss some special cases and applications. 1: Paper Source PDF document Paper's Title:
On Sandwich Theorems for Certain Subclass of Analytic Functions Involving DziokSrivastava Operator Author(s):
T. N. Shanmugam, M. P. Jeyarama and A. Singaravelu
Department of Mathematics
Department of Mathematics
Department of Mathematics Abstract: The purpose of this present paper is to derive some subordination and superordination results for certain normalized analytic functions in the open unit disk, acted upon by DziokSrivastava operator. Relevant connections of the results, which are presented in this paper, with various known results are also considered. 1: Paper Source PDF document Paper's Title:
Inclusion and Neighborhood Properties for Certain Subclasses of Analytic Functions Associated with Convolution Structure Author(s):
M. K. Aouf Mathematics Department, Abstract:
In this paper we introduce and investigate two new subclasses of multivalently analytic functions of complex order defined by using the familiar convolution structure of analytic functions. In this paper we obtain the coefficient estimates and the consequent inclusion relationships involving the neighborhoods of the pvalently analytic functions. 1: Paper Source PDF document Paper's Title:
On Convergence Theorems of an Implicit Iterative Process with Errors for a Finite Family of Asymptotically quasi Inonexpansive Mappings Author(s):
Farrukh Mukhamedov and Mansoor Saburov Department of Computational & Theoretical
Sciences, Abstract:
In this paper we prove the weak and strong convergence of the implicit iterative process with errors to a common fixed point of a finite family {T_{j}}^{N}_{i=1} of asymptotically quasi I_{j}nonexpansive mappings as well as a family of {Ij}^{N}_{j=1} of asymptotically quasi nonexpansive mappings in the framework of Banach spaces. The obtained results improve and generalize the corresponding results in the existing literature. 1: Paper Source PDF document Paper's Title:
On Reformations of 2Hilbert Spaces Author(s):
M. Eshaghi Gordji, A. Divandari, M. R. Safi and Y. J. Cho Department of Mathematics, Semnan
University, meshaghi@semnan.ac.ir, madjid.eshaghi@gmail.com Department of Mathematics, Semnan
University, Department of Mathematics, Semnan
University, safi@semnan.ac.ir, SafiMohammadReza@yahoo.com Department of Mathematics Education and
the RINS, Abstract:
In this paper, first, we introduce the new concept of (complex) 2Hilbert spaces, that is, we define the concept of 2inner product spaces with a complex valued 2inner product by using the 2norm. Next, we prove some theorems on Schwartz's inequality, the polarization identity, the parallelogram laws and related important properties. Finally, we give some open problems related to 2Hilbert spaces. 1: 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. Search and serve lasted 0 second(s). © 20042020 Austral Internet Publishing 