Work

Atomic solution for both ordinary and fractional abstract Cauchy problem in tensor product form

Year: 2024

Type: article

Abstract: In this paper, we discuss the atomic solutions of the abstract Cauchy problem in two variables. The proposed abstract Cauchy problem is assumed to be non-homogeneous and in tensor product form. We utilize some results from the theory of tensor product of Banach spaces to obtain solutions in the atom operator form. The approach is applied for both ordinary and α-conformable fractional derivatives.

Source: Gulf Journal of Mathematics

DOI: 10.56947/gjom.v18i1.2282

Authors: Waseem Alshanti, Ma'mon Abu Hammad, Ahmad Alshanty, Roshdi Khalil

Institutions: Al-Zaytoonah University of Jordan, University of Jordan

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405172107

FWCI: 2.343

Cites:

Cited by: 3

Related to: 10