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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…
Yan Han, Shaoyuan Xu
In this paper, some new existence and uniqueness of common fixed points for four mappings are obtained, which do not satisfy continuity and commutation on non-normal cone metric spaces. These results improve and generalize several well-known comparable result…
Jafar Biazar, Hamideh Ebrahimi
The introduced method in this paper consists of reducing a system of integro-differential equations into a system of algebraic equations, by expanding the unknown functions, as a series in terms of Chebyshev wavelets with unknown coefficients. Extension of Ch…
Nassar Hassan Abdel-Aal, Mohamed Abdullah Abdel-Razek, Abdullah Kamel Seddeek
In this paper, using the tanh-function method, we introduce a new approach to solitary wave solutions for solving nonlinear PDEs. The proposed method is based on adding integration constants to the resulting nonlinear ODEs from the nonlinear PDEs using the wa…
Mehdi Safari
Spatially fractional order diffusion equations are generalizations of classical diffusion equations which are increasingly used in modeling practical super diffusive problems in fluid flow, finance and others areas of application. This paper presents the anal…
Petro Savenko, Myroslava Tkach
A nonlinear problem of mean-square approximation of a real nonnegative continuous function with respect to two variables by the modulus of double Fourier integral dependent on two real parameters with use of the smoothing functional is studied. Finding the op…
Li Wang
In this paper, we study the following problem {-Δ<i><sub>p</sub>u</i>+<i>V(x)|u|<sup>p-2</sup>u</i>=<i>K(x)f(u)</i>+<i>h(x)</i> in□ <sup>N</sup>, <i>u</i>∈<i>W<sup>1,p</sup></i>(□ <i><sup>N</sup></i>), <i>u</i>＞0 in □ <sup>N</sup>, (*) where 1＜<i>p</i>＜<i>N</…
Md. Shafiqul Islam, Afroza Shirin
The aim of this paper is to find the numerical solutions of the second order linear and nonlinear differential equations with <i>Dirichlet</i>, <i>Neumann</i> and <i>Robin</i> boundary conditions. We use the Bernoulli polynomials as linear combination to the…
Mohamed Abdel-Latif Soliman, Nassar Hassan Abdel-All, Soad Ali Hassan, Sayed Abdel-Naeim Badr
We present algorithms for computing the differential geometry properties of Frenet apparatus {t,n,b,κ,τ} and higher-order derivatives of intersection curves of implicit and parametric surfaces in <b>R</b><sup>3</sup> for transversal and tangential intersectio…
Panos K. Palamides, Evgenia H. Papageorgiou
We consider the five-point boundary value problem for a fifth-order differential equation, where the nonlinearity is superlinear at both the origin and +infinity. Our method of proof combines the Kneser’s theorem with the well-known from combinatorial topolog…
Gleb G. Kozlov
We analyze the spectral distribution of localisation in a 1D diagonally disordered chain of fragments each of which consist of <i>m</i> coupled two-level systems. The calculations performed by means of developed perturbation theory for joint statistics of adv…
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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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