We present a new approach to the invariant subspace problem for complex Hilbert spaces.This approach based on nonconservative Extension of the Model Theoretical NSA. Our main result will be that: if T is a bounded linear operator on an infinite-dimensional complex separable Hilbe...
Open access
Research Article10.9734/jamcs/2022/v37i111721
In this paper, we propose a new technique well adapted to the solution of nonlinear fractional differential equations. This technique combines the Elzaki transorm and the Some Blaise-Abbo (SBA) method. It allows to find the exact solution or an acceptable approximate solution of...
Open access
Research Article10.9734/jamcs/2022/v37i111720
In this study, we define a new type of Pell and Pell-Lucas numbers which are called Gaussian-hybrid Pell and Pell-Lucas numbers. We also give negaGaussian-hybrid Pell and Pell-Lucas numbers, the characteristic number and the type number of Gaussian-hybrid Pell and Pell-Lucas numb...
Open access
Research Article10.9734/jamcs/2022/v37i111719
In this paper, we implement Regular Perturbation Method (RPM) of the Solving fractional diffusion-reaction equation, in order to determine the exact analytical solutions of some linear fractional diffusion-reaction equation. In general, the solving using this method allow to obta...
Open access
Research Article10.9734/jamcs/2022/v37i101718
The incompleteness of set theory ZFC leads one to look for natural extensions of ZFC in which one can prove statements wich appear as independent of ZFC but which look to be \true". In this paper we deal with set theory NC\(^{\#}{_\infty}_{\#}\) based on hyper infinitary logic wi...
Open access
Research Article10.9734/jamcs/2022/v37i101717
The normal ordering of an integral power of the number operator a\(^\dagger\)a in terms of boson annihilation a and creation a\(^\dagger\) operators is expressed with the help of the Stirling numbers of the second kind. The normal ordering problems directly links the problems to...
Open access
Research Article10.9734/jamcs/2022/v37i101716
In this paper, system of equations for ion sound and Langmuir waves (ISLWs) is studied to construct novel exact solutions of the coupled nonlinear system. The extended F-expansion method is applied to get exact solutions of ISLWs model. These solutions include many different expr...
Open access
Research Article10.9734/jamcs/2022/v37i101715
Alcohol addiction is a phenomenon that has attracted the attention of numerous researchers and academics in a variety of professions due to its serious repercussion on all spheres of human life. Alcoholism is a common addiction in adults throughout the globe. Hence there is need...
Open access
Research Article10.9734/jamcs/2022/v37i101714
Ebola virus disease (EVD) is a zoonotic filovirus caused by an RNA virus of the family filoviridae and genus Ebolavirus. It is transmitted by direct human to human contact via body fluids or indirect contact with contaminated surfaces. Due to its transmission mode the disease spr...
Open access
Research Article10.9734/jamcs/2022/v37i91712
In this paper, the norm attaining operators in Frechet spaces are considered. These operators are characterized based on their density, normality, linearity and compactness. It is shown that the image is dense for a normal and injective operator in a Frechet space, as well as its...
Open access
Research Article10.9734/jamcs/2022/v37i91713