"Semilinear Abstract Cauchy Problem of Conformable Type" by Lahcene Rabhi, Mohammed Al Horani et al.

Progress in Fractional Differentiation & Applications

Article Title

Semilinear Abstract Cauchy Problem of Conformable Type

Authors

Lahcene Rabhi, Department of Mathematics, Faculty of Science, The University of Jordan, Amman, JordanFollow
Mohammed Al Horani, Department of Mathematics, Faculty of Science, The University of Jordan, Amman, JordanFollow
Roshdi Khalil, Department of Mathematics, Faculty of Science, The University of Jordan, Amman, JordanFollow

Author Country (or Countries)

Jordan

Abstract

In this paper, we discuss the solution of the semilinear conformable abstract Cauchy problem. We study the existence of mild solution using the fractional semigroups. We establish the global and local mild solutions using the concept of contraction principle. The stability and regularity of mild solutions are studied. Applications illustrating our main abstract results are also given.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/pfda/090205

Recommended Citation

Rabhi, Lahcene; Al Horani, Mohammed; and Khalil, Roshdi (2023) "Semilinear Abstract Cauchy Problem of Conformable Type," Progress in Fractional Differentiation & Applications: Vol. 9: Iss. 2, Article 5.
DOI: http://dx.doi.org/10.18576/pfda/090205
Available at: https://digitalcommons.aaru.edu.jo/pfda/vol9/iss2/5

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