Kordnoori, Shaghayegh Mostafaei, Hamidreza Behzadi, Mohammadhassan
Published in
Mathematical Sciences

Stochastic processes are approved presentation of real systems which its development in space or time can be supposed as random. A semi-hidden Markov model as a type of stochastic processes is a modification of hidden Markov models with states that are no longer totally unobservable and are less hidden. This mathematical model is employed for model...

Kundu, Anirban Bag, T. Nazmul, Sk.
Published in
Mathematical Sciences

In this present work, the topological structure of 2-normed spaces is studied from the viewpoint of topological vector spaces. A separating family of seminorms is induced from a given 2-norm, and the criteria for metrizability and normability of 2-normed spaces are investigated using this family. A sufficient condition for metrizability and a neces...

Zamir, Muhammad Shah, Kamal Chohan, Muhammad Ikhlaq
Published in
Mathematical Sciences

The aims and objectives of this manuscript are concerned with the investigation of some appropriate conditions to establish existence theory of solutions to a class of nonlinear four-point boundary value problem (BVP) corresponding to fractional order differential equations (FODEs) provided as cDωy(t)=Ft,y(t),cDω-1y(t),1

Adimi, M. Ebrahimzade Rostamy-Malkhalifeh, M. Hosseinzadeh Lotfi, F. Mehrjoo, R.
Published in
Mathematical Sciences

DEA is the way of evaluating the performance of decision-making units on the basis of the degree of efficiency. Unfortunately, congestion has been known as a technical inefficiency for at least three decades just because of the lack of determining the congestion border. In this article, we have introduced the concept of the congestion hyperplane wi...

Veeresha, P. Prakasha, D. G. Baskonus, Haci Mehmet
Published in
Mathematical Sciences

In the present work, an efficient numerical technique, called q-homotopy analysis transform method (briefly, q\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$q$$\end{do...

Azizi, Behnam Doostie, Hossein
Published in
Mathematical Sciences

The finite non-commutative and non-associative algebraic structures are indeed one of the special structures for their probabilistic results in some branches of mathematics. For a given integer n≥2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrs...

Torkashvand, Vali Lotfi, Taher Fariborzi Araghi, Mohammad Ali
Published in
Mathematical Sciences

In this work, an adaptive method with memory is developed such that all previous information are applied. The importance of the proposed method can be seen because of the optimization in important effecting factors, i.e., least number of iterations steps, least number of functional evaluations, least value of absolute error, and maximum efficiency ...

Gubes, Murat
Published in
Mathematical Sciences

The aim of this study is to calculate the well-known Laplace and Sumudu transforms of functions in a different way. For our purpose, we present a computational tool by applying the variational iteration method. The Laplace and Sumudu transforms of some of the basic functions are also given as illustrations to test the efficiency and reliability of ...

Momenzade, N. Vahidi, A. R. Babolian, E.
Published in
Mathematical Sciences

In this paper, a linear combination of quadratic modified hat functions is proposed to solve stochastic Itô–Volterra integral equation with multi-stochastic terms. All known and unknown functions are expanded in terms of modified hat functions and replaced in the original equation. The operational matrices are calculated and embedded in the equatio...

Parsamanesh, Mahmood Farnoosh, Rahman
Published in
Mathematical Sciences

This paper investigates an SIS epidemic model with variable population size including a vaccination program. Dynamics of the endemic equilibrium of the model are obtained, and it will be shown that this equilibrium exists and is locally asymptotically stable when R0>1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackag...