Tensor Product of Banach Spaces and Atomic Solutions of Partial Differential Equations

Waseem Ghazi Alshanti; Iqbal M. Batiha; Ahmad Alshanty; Roshdi Khalil

Tensor Product of Banach Spaces and Atomic Solutions of Partial Differential Equations

Waseem Ghazi Alshanti
, Iqbal M. Batiha
, Ahmad Alshanty
, Roshdi Khalil

Nonlinear Dynamic Research Centre (NDRC)

Al-Zaytoonah University of Jordan
University of Jordan

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In this paper, we present a new analytical scheme to generate atomic solutions of partial differential equations. The theory of tensor product in Banach spaces coupled with some features of atomics operators are utilized to attain our results. Some demonstrative examples are given for completeness.

Original language	English
Pages (from-to)	903-916
Number of pages	14
Journal	International Journal of Mathematics and Computer Science
Volume	19
Issue number	3
State	Published - 2024

Keywords

Banach spaces
Partial differential equations
atomic solution
atomics operator
tensor product

Cite this

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title = "Tensor Product of Banach Spaces and Atomic Solutions of Partial Differential Equations",

abstract = "In this paper, we present a new analytical scheme to generate atomic solutions of partial differential equations. The theory of tensor product in Banach spaces coupled with some features of atomics operators are utilized to attain our results. Some demonstrative examples are given for completeness.",

keywords = "Banach spaces, Partial differential equations, atomic solution, atomics operator, tensor product",

author = "Alshanti, \{Waseem Ghazi\} and Batiha, \{Iqbal M.\} and Ahmad Alshanty and Roshdi Khalil",

year = "2024",

language = "English",

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journal = "International Journal of Mathematics and Computer Science",

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T1 - Tensor Product of Banach Spaces and Atomic Solutions of Partial Differential Equations

AU - Alshanti, Waseem Ghazi

AU - Batiha, Iqbal M.

AU - Alshanty, Ahmad

AU - Khalil, Roshdi

PY - 2024

Y1 - 2024

N2 - In this paper, we present a new analytical scheme to generate atomic solutions of partial differential equations. The theory of tensor product in Banach spaces coupled with some features of atomics operators are utilized to attain our results. Some demonstrative examples are given for completeness.

AB - In this paper, we present a new analytical scheme to generate atomic solutions of partial differential equations. The theory of tensor product in Banach spaces coupled with some features of atomics operators are utilized to attain our results. Some demonstrative examples are given for completeness.

KW - Banach spaces

KW - Partial differential equations

KW - atomic solution

KW - atomics operator

KW - tensor product

UR - https://www.scopus.com/pages/publications/85186605172

M3 - Article

AN - SCOPUS:85186605172

SN - 1814-0424

VL - 19

SP - 903

EP - 916

JO - International Journal of Mathematics and Computer Science

JF - International Journal of Mathematics and Computer Science

IS - 3

ER -

Tensor Product of Banach Spaces and Atomic Solutions of Partial Differential Equations

Abstract

Keywords

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