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Advances in Pure Mathematics (APM) is an openly accessible journal published monthly. 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 ordered algebraic structures. All the manus…
Guo Jiang, Xiaoyan Sang, Jieheng Wu, Biwen Li
This paper investigates the numerical solution of two-dimensional nonlinear stochastic It ô -Volterra integral equations based on block pulse functions. The nonlinear stochastic integral equation is transformed into a set of algebraic equations by operat…
Kamilu Rauf, Akinola Yussuff Akinyele, Mfon Okon Etuk, Rafiu Obashola Zubair, Moses Adebowale Aasa
This paper consists of some properties of a new subclass of semigroup of linear operator. The stability and spectra analysis of ω -order preserving partial contraction mapping ( ω - OCP n ) are obtained. The results show that operators on the proposed ω - OCP…
Alfred Wünsche
In analogy to the role of Lommel polynomials in relation to Bessel functions J v (z) the theory of Associated Hermite polynomials in the scaled form with parmeter v to Parabolic Cylinder functions D v (z) is developed. The group-theoretical background with th…
Lei Zhang, Shanzhi Mou, Yu Wang
In cognitive radio networks, the spectrum utilization can be improved by cognitive users opportunistically using the idle channels licensed to the primary users. However, the new arrived cognitive users may not be able to use the channel immediately since the…
Anna Karczewska, Maciej Szczeciński
The deterministic extended Korteweg-de Vries equation plays an essential role in the description of the creation and propagation of nonlinear waves in many fields. We study a stochastic extended Korteweg-de Vries equation driven by a multiplicative noise in t…
Hailong Li, Kalyan Chakraborty, Shigeru Kanemitsu
It is often said that music has reached its supreme and highest level in the 18th and 19th centuries. One of the main reasons for this achievement seems to be the robust structure of compositions of music, somewhat remindful of robust structure of mathematics…
A. M. Kawala
Fractional calculus has been used in many fields , such as engineering, population, medicine, fluid mechanics and different fields of chemistry and physics. These fields were found to be best described using fractional differential equations (FDEs) to model t…
Marisa Fernández, Jonatan Sanchez, Jose A. Santisteban
We consider a parametrized family of compact G 2 -calibrated solvmanifolds, and construct associative (so volume-minimizing submanifolds) 3-tori with respect to the closed G 2 -structure. We also study the Laplacian flow of this closed G 2 form on the solvabl…
Halima Oufdou, Lise Bellanger, Amal Bergam, Angélina El Ghaziri, Kenza Khomsi, El Mostafa Qannari
Tropospheric ozone (O3) is one of the pollutants that have a significant impact on human health. It can increase the rate of asthma crises, cause permanent lung infections and death. Predicting its concentration levels is therefore important for planning atmo…
Kazuyuki Fujii, 1 1
The least squares method is one of the most fundamental methods in Statistics to estimate correlations among various data. On the other hand, Deep Learning is the heart of Artificial Intelligence and it is a learning method based on the least squares method,…
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Advances in Pure Mathematics (APM) is an openly accessible journal published monthly. 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 ordered algebraic structures. All the manus… All articles are open access under a CC BY 4.0 licence, with authors retaining copyright.
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