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Semilinear Abstract Cauchy Problem of Conformable Type |
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PP: 243-250 |
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doi:10.18576/pfda/090205
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Author(s) |
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Lahcene Rabhi,
Mohammed Al Horani,
Roshdi Khalil,
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Abstract |
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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. |
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