Geodesic
Total controllability for noninstantaneous impulsive conformable fractional evolution system with nonlinear noise and nonlocal conditions
Filomat, Tome 37 (2023) no. 16, p. 5287

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DOI

Noninstantaneous impulsive conformable fractional stochastic differential equation with non-linear noise and nonlocal condition via Rosenblatt process and Poisson jump is studied in this paper. Sufficient conditions for controllability for the considered problem are established. The required results are obtained based on fractional calculus, stochastic analysis, semigroups and Sadovskii's fixed point theorem. In the end paper, an example is provided to illustrate the applicability of the results.
DOI : 10.2298/FIL2316287A
Classification : 93B05, 26A33, 93C10, 60H10, 60G22
Keywords: Noninstantaneous impulsive, Conformable fractional stochastic differential equations, Rosenblatt process, Poisson jumps, Controllability 
Hamdy M Ahmed. Total controllability for noninstantaneous impulsive conformable fractional evolution system with nonlinear noise and nonlocal conditions. Filomat, Tome 37 (2023) no. 16, p. 5287 . doi: 10.2298/FIL2316287A
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     title = {Total controllability for noninstantaneous impulsive conformable fractional evolution system with nonlinear noise and nonlocal conditions},
     journal = {Filomat},
     pages = {5287 },
     year = {2023},
     volume = {37},
     number = {16},
     doi = {10.2298/FIL2316287A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2316287A/}
}
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