Open AccessNeutral delay Hilfer fractional integrodifferential equations with fractional brownian motion
Author(s) -
Yousef Alnafisah,
Hamdy M. Ahmed
Publication year - 2022
Publication title -
evolution equations and control theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.665
H-Index - 19
eISSN - 2163-2480
pISSN - 2163-2472
DOI - 10.3934/eect.2021031
Subject(s) - fractional brownian motion , uniqueness , semigroup , fractional calculus , mathematics , controllability , fixed point theorem , banach fixed point theorem , brownian motion , mathematical analysis , fixed point , statistics
In this paper, we study the existence and uniqueness of mild solutions for neutral delay Hilfer fractional integrodifferential equations with fractional Brownian motion. Sufficient conditions for controllability of neutral delay Hilfer fractional differential equations with fractional Brownian motion are established. The required results are obtained based on the fixed point theorem combined with the semigroup theory, fractional calculus and stochastic analysis. Finally, an example is given to illustrate the obtained results.