Atomic Solutions of Partial Differential Equations via Tensor Product Theory of Banach Spaces

Waseem G. Alshanti; Iqbal M. Batiha; Ahmad Alshanty

doi:10.37256/cm.4220232527

Atomic Solutions of Partial Differential Equations via Tensor Product Theory of Banach Spaces

Waseem G. Alshanti
, Iqbal M. Batiha
, Ahmad Alshanty

Nonlinear Dynamic Research Centre (NDRC)

Al-Zaytoonah University of Jordan
Al-Isra Private University

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

10 Scopus citations

Abstract

This work purposes to establish a novel analytical method to obtain the atomic solutions of partial differential equations. This will be carried out by employing the tensor product theory in Banach spaces coupled with some properties of atoms operators. Some illustrative examples will be provided to validate our findings.

Original language	English
Pages (from-to)	286-295
Number of pages	10
Journal	Contemporary Mathematics (Singapore)
Volume	4
Issue number	2
DOIs	https://doi.org/10.37256/cm.4220232527
State	Published - 2023

Keywords

Banach space
atomic solution
partial differential equation
tensor product

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

abstract = "This work purposes to establish a novel analytical method to obtain the atomic solutions of partial differential equations. This will be carried out by employing the tensor product theory in Banach spaces coupled with some properties of atoms operators. Some illustrative examples will be provided to validate our findings.",

keywords = "Banach space, atomic solution, partial differential equation, tensor product",

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

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year = "2023",

doi = "10.37256/cm.4220232527",

language = "English",

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

AU - Alshanti, Waseem G.

AU - Batiha, Iqbal M.

AU - Alshanty, Ahmad

PY - 2023

Y1 - 2023

N2 - This work purposes to establish a novel analytical method to obtain the atomic solutions of partial differential equations. This will be carried out by employing the tensor product theory in Banach spaces coupled with some properties of atoms operators. Some illustrative examples will be provided to validate our findings.

AB - This work purposes to establish a novel analytical method to obtain the atomic solutions of partial differential equations. This will be carried out by employing the tensor product theory in Banach spaces coupled with some properties of atoms operators. Some illustrative examples will be provided to validate our findings.

KW - Banach space

KW - atomic solution

KW - partial differential equation

KW - tensor product

UR - https://www.scopus.com/pages/publications/85160823584

U2 - 10.37256/cm.4220232527

DO - 10.37256/cm.4220232527

M3 - Article

AN - SCOPUS:85160823584

SN - 2705-1064

VL - 4

SP - 286

EP - 295

JO - Contemporary Mathematics (Singapore)

JF - Contemporary Mathematics (Singapore)

IS - 2

ER -

Atomic Solutions of Partial Differential Equations via Tensor Product Theory of Banach Spaces

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Keywords

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