Tensor product and inverse fractional abstract Cauchy problem

In this paper, we find atomic solution and finite rank function solution for fractional abstract Cauchy problem. The fractional derivative used is conformable derivative. The main idea of the proofs is based on theory of tensor product of Banach spaces.

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Bibliographic Details
Published in:Rendiconti del Circolo matematico di Palermo 2023-06, Vol.72 (4), p.2321-2332
Main Authors: Seddiki, F., Alhorani, M., Khalil, R.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Banach spaces
Cauchy problems
Geometry
Mathematical analysis
Mathematics
Mathematics and Statistics
Tensors
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Description
Summary:In this paper, we find atomic solution and finite rank function solution for fractional abstract Cauchy problem. The fractional derivative used is conformable derivative. The main idea of the proofs is based on theory of tensor product of Banach spaces.
ISSN:0009-725X
1973-4409
DOI:10.1007/s12215-022-00769-0