Atomic Solution of Third Order Fractional Abstract Cauchy Problem
DOI:
https://doi.org/10.29020/nybg.ejpam.v17i4.5433Keywords:
Fractional derivatives, Abstract Cauchy problem, Atom function, Conformable derivatve, Tensor product of Banach spaceAbstract
In this paper, we find an atomic solution of the fractional abstract Cauchy problem of order three. The fractional derivative used is the conformable derivative. The main idea of the proofs are based on theory of tensor product of Banach space.
Downloads
Published
Issue
Section
License
Copyright (c) 2024 Rami Alkhateeb, Ghaith Awwad
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.
By agreeing to this statement, you acknowledge that:
- You retain full copyright over your work.
- The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
- This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.