Infinite rank solution for conformable degenerate abstract Cauchy problem in Hilbert spaces

Volume 31, Issue 2, pp 150--161 http://dx.doi.org/10.22436/jmcs.031.02.03

Publication Date: May 04, 2023 Submission Date: January 20, 2023 Revision Date: February 14, 2023 Accteptance Date: February 22, 2023

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Authors

F. Seddiki - Department of Mathematics, University of Jordan, Amman, Jordan. M. Al Horani - Department of Mathematics, University of Jordan, Amman, Jordan. R. Khalil - Department of Mathematics, University of Jordan, Amman, Jordan.

Abstract

In this paper, we find an infinite rank solution of a conformable abstract Cauchy problem. The involved derivative is the conformable one. The main idea of the proofs are based on the theory of tensor product of Banach spaces.

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Keywords

• Tensor product of Banach spaces
• conformable derivative
• abstract Cauchy problem

MSC

•  34G10
•  26A33

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