TY - JOUR
T1 - Hilfer-type fractional differential switched inclusions with noninstantaneous impulsive and nonlocal conditions
AU - Wang, Jinrong
AU - Ibrahim, Ahmed Gamal
AU - O’regan, Donal
N1 - Publisher Copyright:
© Vilnius University, 2018.
PY - 2018
Y1 - 2018
N2 - In this paper, we study a new class of nonlocal problems for noninstantaneous impulsive Hilfer-type fractional differential switched inclusions in Banach spaces. First, we introduce a mild solution formula for this noninstantaneous impulsive inclusion problem. Second, we show the existence of mild solutions using the Hausdorff measure of noncompactness on the space of piecewise weighted continuous functions. Finally, an example is provided to illustrate the theory.
AB - In this paper, we study a new class of nonlocal problems for noninstantaneous impulsive Hilfer-type fractional differential switched inclusions in Banach spaces. First, we introduce a mild solution formula for this noninstantaneous impulsive inclusion problem. Second, we show the existence of mild solutions using the Hausdorff measure of noncompactness on the space of piecewise weighted continuous functions. Finally, an example is provided to illustrate the theory.
KW - Existence
KW - Hilfer fractional switched differential inclusions
KW - Noninstantaneous impulsive conditions
KW - Nonlocal conditions
UR - https://www.scopus.com/pages/publications/85063267896
U2 - 10.15388/NA.2018.6.7
DO - 10.15388/NA.2018.6.7
M3 - Article
SN - 1392-5113
VL - 23
SP - 921
EP - 941
JO - Nonlinear Analysis: Modelling and Control
JF - Nonlinear Analysis: Modelling and Control
IS - 6
ER -