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Applied Mathematics (AM) is an international journal dedicated to the latest advancements in applied mathematics. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of applied mathema…
Youjun Xu, Cuie Xiao, Hui Zhu
In this paper we investigate optimal control problems governed by a advection-diffusion-reaction equation. We present a method for deriving conditions in the form of Pontryagin’s principle. The main tools used are the Ekeland’s variational principle combined…
Young Il Seo, Anwar Zeb, Gul Zaman, Il Hyo Jung
In this paper, we consider an SIR-model for which the interaction term is the square root of the susceptible and infected individuals in the form of fractional order differential equations. First the non-negative solution of the model in fractional order is p…
Ouaténi Diallo, Yaya Koné, Jérôme Pousin
In this paper we introduce a classical SI model to capture the spread of an infectious disease within a population. More precisely, the spatial diffusion of HIV/AIDS in a population is modeled. For that, we assume that the spread is due to the anarchical comp…
Man Liu, Qingzhi Yu, Shuling Wang, Changhua Huang
Let G be a graph. If there exists a spanning subgraph F such that d F ( x ) ∈ {1,3,…2 n – 1}, then is called to be (1,2 n – 1)-odd factor of G . Some sufficient and necessary conditions are given for G – U to have (1,2 n – 1)-odd factor where U is any subset…
Man Liu, Shuling Wang, Qingzhi Yu, Changhua Huang
A simulation algorithm concerning problem B of 09 CUMCM is given. By introducing the concept of bed vector, clinic matrix, arrangement matrix and priority vector, the information about clinic, bed and arrangement will be stored and analyzed via MATLAB. By the…
Erkki Laitinen, Alexander Lapin
Iterative methods for solving discrete optimal control problems are constructed and investigated. These discrete problems arise when approximating by finite difference method or by finite element method the optimal control problems which contain a linear elli…
Maher Nazmi Qarawani
In this paper we have established the stability of a generalized nonlinear second-order differential equation in the sense of Hyers and Ulam. We also have proved the Hyers-Ulam stability of Emden-Fowler type equation with initial condi tions.
Aisha Ahmed Amer, Maslina Darus
The main object of this paper is to study some properties of certain subclass of analytic functions with negative coefficients defined by a linear operator in the open unit disc. These properties include the coefficient estimates, closure properties, distorti…
Jan Skála, Miroslav Bárta
Many problems in physics are inherently of multi-scale nature. The issues of MHD turbulence or magnetic reconnection, namely in the hot and sparse, almost collision-less astrophysical plasmas, can stand as clear examples. The Finite Element Method (FEM) with…
Murong Jiang, Yinghao Zhong, Xin Wang, Xiaotong Huang, Ruilin Guo
Nonparametric method based on the mutual information is an efficient technique for the image segmentation. In this method, the image is divided into the internal and external labeled regions, and the segmentation problem constrained by the total length of the…
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Applied Mathematics (AM) is an international journal dedicated to the latest advancements in applied mathematics. The goal of this journal is to provide a platform for scientists and academicians all over the world to promote, share, and discuss various new issues and developments in different areas of applied mathema… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
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