Atomic Solution of Fractional Abstract Cauchy Problem of High Order in Banach Spaces

Authors

  • Fatema Bekraoui University of Jordan
  • Mohammad Al Horani University of Jordan Department of mathematics
  • Roshdi Rashid Khalil University of jordan

DOI:

https://doi.org/10.29020/nybg.ejpam.v15i1.4226

Keywords:

Tensor product of Banach spaces, atomic solution, conformable deriv- ative, Abstract Cauchy problem.

Abstract

The Abstract Cauchy problem, which is a vector valued differential equation is an important equation in many branches of science. Authors usually study and discuss first and second order abstract Cauchy problem. In this paper, we try to find atomic solutions of the fractional abstract Cauchy problem with order 3α, where α ∈ (0, 1). It turned out that there are so many cases to consider in order to determine atomic solution.

Author Biographies

  • Fatema Bekraoui, University of Jordan

    Mathematics

    Dr

  • Mohammad Al Horani, University of Jordan Department of mathematics

    mathematics

    Professor

  • Roshdi Rashid Khalil, University of jordan
    mathematics/professor

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Published

2022-01-31

Issue

Vol. 15 No. 1: (January 2022)

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

Atomic Solution of Fractional Abstract Cauchy Problem of High Order in Banach Spaces. (2022). European Journal of Pure and Applied Mathematics, 15(1), 106-125. https://doi.org/10.29020/nybg.ejpam.v15i1.4226