Open AccessFinite Rank Solution for Conformable Degenerate First-Order Abstract Cauchy Problem in Hilbert Spaces
Author(s) -
Fakhruddeen Seddiki,
Mohammad Al-horani,
Roshdi Khalil
Publication year - 2021
Publication title -
european journal of pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.245
H-Index - 5
ISSN - 1307-5543
DOI - 10.29020/nybg.ejpam.v14i2.3950
Subject(s) - mathematics , conformable matrix , rank (graph theory) , uniqueness , tensor product , tensor product of hilbert spaces , degenerate energy levels , order (exchange) , pure mathematics , banach space , mathematical proof , fractional calculus , mathematical analysis , combinatorics , tensor contraction , physics , geometry , finance , quantum mechanics , economics
In this paper, we find a solution of finite rank form of fractional Abstract Cauchy Problem. The fractional derivative used is the Conformable derivative. The main idea of the proofs are based on theory of tensor product of Banach spaces.