Existence results to a ψ- Hilfer neutral fractional evolution equation with infinite delay
In this paper, we prove the existence and uniqueness of a mild solution to the system of ψ- Hilfer neutral fractional evolution equations with infinite delay H𝔻0αβ;ψ [x(t) − h(t, xt)] = A x(t) + f (t, x(t), xt), t ∈ [0, b], b > 0 and x(t) = ϕ(t), t ∈ (−∞, 0]. We first obtain the Volterra integral...
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Main Authors: | Norouzi Fatemeh, N’guérékata Gaston M. |
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Format: | article |
Language: | EN |
Published: |
De Gruyter
2021
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Online Access: | https://doaj.org/article/e4a4486e9e1245a19b33d1381d28a8d0 |
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