By using fixed point theorem, fractional calculus and stochastic analysis, sufficient conditions for existence solutions of non-instantaneous impulsive Hilfer-Katugampola fractional differential equations of order 1/2 < α < 1 and parameter 0 ≤ β ≤ 1 with fractional Brownian motion, Poisson jumps, and with nonlocal conditions are established.
On some non-instantaneous impulsive differential equations with fractional brownian motion and Poisson jumps
MARIA ALESSANDRA RAGUSA
2023-01-01
Abstract
By using fixed point theorem, fractional calculus and stochastic analysis, sufficient conditions for existence solutions of non-instantaneous impulsive Hilfer-Katugampola fractional differential equations of order 1/2 < α < 1 and parameter 0 ≤ β ≤ 1 with fractional Brownian motion, Poisson jumps, and with nonlocal conditions are established.File in questo prodotto:
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