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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…
Yanping Zheng, Wenxia Wang
In this work, we study existence theorem of the initial value problem for the system of fractional differential equations where Dα denotes standard Riemann-Liouville fractional derivative, 0 < α < 1, and A is a square matrix. At the same time, power-type esti…
Maher Nazmi Qarawani
In this paper we apply the Fourier transform to prove the Hyers-Ulam-Rassias stability for one dimensional heat equation on an infinite rod. Further, the paper investigates the stability of heat equation in with initial condition, in the sense of Hyers-Ulam-R…
Pape Djiby Mergane, Gane Samb Lo
We set in this paper a coherent theory based on functional empirical processes that allows to consider both the poverty and the inequality indices in one Gaussian field in which the study of the influence of the one over the other is done. We use the General…
Mojgan Afkham, Kazem Khashyarmanesh
Let R be a commutative ring with non-zero identity. The cozero-divisor graph of R , denoted by , is a graph with vertices in , which is the set of all non-zero and non-unit elements of R , and two distinct vertices a and b in are adjacent if and only if and .…
Siroos Nazari, Aghileh Heydari, Javad Khaligh
Rhythmic phenomena are one of the most striking manifestations of dynamic behavior in biological systems. Understanding the mechanisms of biological rhythms, is crucial for understanding the dynamic of life. Each type of dynamic behaviors may be related to th…
Tynysbek Sh. Kalmenov, Ernazar Nysanov, Bolys Sabitbek
In this article, we prove certain isoperimetric inequalities for eigenvalues of Riesz potentials and show some applications of the results to a non-local boundary value problem of the Laplace operator.
Gengrong Zhang, Zhanjiang Ji, Fanping Zeng
Let and f : X n → X n be a continuous map. If f i s a second descendible map, then P ( f ) is closed if and only if one of the following hold: 1) ; 2) For any z ε R (f) , there exists a y ε w ( z , f ) ∩ P ( f ) such that every point of the set orb (y,f) i s…
Richard Southwell, Chris Cannings
With the growth of the internet it is becoming increasingly important to understand how the behaviour of players is affected by the topology of the network interconnecting them. Many models which involve networks of interacting players have been proposed and…
Sultan Z. Alamri, Abeer A. Alenezi
Using the vortex filament model with the full Biot-Savart law, we show that non-straight bundles of quantized vortex lines in HeII are structurally robust and can reconnect with each other maintaining their identity. We discuss vortex stretching in superfluid…
Reza Mohammadi
We present an exponential B-spline collocation method for solving convection-diffusion equation with Dirichlet’s type boundary conditions. The method is based on the Crank-Nicolson formulation for time integration and exponential B-spline functions for space…
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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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