A remark on ψ–Hilfer fractional differential equations with non-instantaneous impulses |
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| Authors: | Van Hoa Ngo Donal O'Regan |
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| Institution: | 1. Division of Computational Mathematics and Engineering, Institute for Computational Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam;2. School of Mathematics, Statistics Applied Mathematics, National University of Ireland, Galway, Ireland |
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| Abstract: | We present a reasonable concept for solutions of non-instantaneous impulsive Cauchy problems with a ψ–Hilfer fractional derivative. Also, we provide a new sufficient condition for the existence, uniqueness, and stability of solutions for the given problem. |
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| Keywords: | ψ–Hilfer fractional derivative counter-example non-instantaneous impulsive problem |
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