TY - JOUR
T1 - Exact Controllability Results for Sobolev-Type Hilfer Fractional Neutral Delay Volterra-Fredholm Integro-Differential Systems
AU - Vijayakumar, Velusamy
AU - Aldosary, Saud Fahad
AU - Nisar, Kottakkaran Sooppy
N1 - Publisher Copyright:
© 2022 by the authors. Licensee MDPI, Basel, Switzerland.
PY - 2022/2
Y1 - 2022/2
N2 - This manuscript mainly focuses on the exact controllability of Sobolev-type Hilfer fractional neutral delay Volterra-Fredholm integro-differential systems. The principal findings of this discussion are established by using the theories on fractional calculus, the measure of noncompactness and Mönch fixed point technique. Initially, the exact controllability of the system is presented and then we improve the discussion to the system with nonlocal conditions. Finally, abstract and filter systems are provided for the illustration.
AB - This manuscript mainly focuses on the exact controllability of Sobolev-type Hilfer fractional neutral delay Volterra-Fredholm integro-differential systems. The principal findings of this discussion are established by using the theories on fractional calculus, the measure of noncompactness and Mönch fixed point technique. Initially, the exact controllability of the system is presented and then we improve the discussion to the system with nonlocal conditions. Finally, abstract and filter systems are provided for the illustration.
KW - Controllability
KW - Hilfer fractional system
KW - Measure of noncompactness
KW - Neutral system
KW - Nonlocal conditions
KW - Volterra-Fredholm integro-differential equations
UR - http://www.scopus.com/inward/record.url?scp=85123923279&partnerID=8YFLogxK
U2 - 10.3390/fractalfract6020081
DO - 10.3390/fractalfract6020081
M3 - Article
AN - SCOPUS:85123923279
SN - 2504-3110
VL - 6
JO - Fractal and Fractional
JF - Fractal and Fractional
IS - 2
M1 - 81
ER -