arXiv subjects

Abdulhameed Qahtan Abbood Altai

Publications and source records attributed to Abdulhameed Qahtan Abbood Altai.

6 recordsLinked to original sources

arXiv2019

On Orlicz Theory

In this paper, based on concepts of convex sets and convex functions, we introduce new concepts of functions, Young functions, strong Young functions and Orlicz functions by relaxing definitions of functions, Young functions, strong Young functions, Orlicz functions respectively. We also give concepts of Orlicz spaces, weak Orlicz spaces, Orlicz Sobolev spaces, weak Orlicz Sobolev spaces, Orlicz Morrey spaces and weak Orlicz Morrey spaces, Orlicz Lorentz spaces and weak Orlicz Lorentz spaces. In addition, we consider the implicit properties based on the effect of an operator on the functions and the spaces

math.FA↗

arXiv2019

Trotter Kato Theorem for Bi Continuous Semigroups and Approximation of PDEs

In this paper, we introduce formulations of the Trotter Kato theorem for approximation of bi continuous semigroups that provide a useful framework whenever convergence of numerical approximations to solutions of PDEs are studied with respect to an additional locally convex topology coarser than the norm topology to treat the lack of the strong continuity. Applicability of our results is demonstrated using a heat equation with infinite boundaries.

math.NA↗

arXiv2019

Orlicz_Spaces and Orlicz_Sobolev_space

A new class of convex functions called functions, Young functions, strong Young functions and Orlicz functions are introduced by relaxing the definitions of functions, Young functions, strong Young functions and Orlicz functions. Then, new classes of Orlicz spaces and Orlicz Sobolev space will be defined.

math.FA↗

arXiv2019

Fuzzy Limits of Fuzzy Functions

In this paper, we propose the theory of fuzzy limit of fuzzy function depending on the Altai principle and using the representation theorem (resolution principle) to run the fuzzy arithmetic

math.GM↗

arXiv2018

The Variational Iteration Method for Solving Asymmetric System of PDEs

We propose a method to obtain iterative schemes guarantee unique solutions for systems of partial differential equations that are not symmetric with respect to the time by generalizing He variational iteration method and using Banach fixed point theorem. Then, iterative schemes for systems of incompressible fluid flow and incompressible micropolar fluid flow will be created by applying the generalized He variational iteration method.

math.GM↗

arXiv2018

On Musielak N-functions

In this paper, the concept of Musielak N-functions and Musielak-Orlicz spaces generated by them well be introduced. Facts and results of the measure theory will be applied to consider properties, calculus and basic approximation of Musielak N-functions and their Musielak-Orlicz spaces. Finally, the relationship between Musielak N-functions and Musielak-Orlicz functions and thier Musielak-Orlicz spaces will be considered using facts and results of the measure theory too

math.FA↗