TY - JOUR
T1 - Optimal control results for impulsive fractional delay integrodifferential equations of order 1 < r < 2 via sectorial operator
AU - Johnson, Murugesan
AU - Raja, Marimuthu Mohan
AU - Vijayakumar, Velusamy
AU - Shukla, Anurag
AU - Nisar, Kottakkaran Sooppy
AU - Jahanshahi, Hadi
N1 - Publisher Copyright:
© 2023 The Author(s). Published by Vilnius University Press.
PY - 2023/5/1
Y1 - 2023/5/1
N2 - This research investigates the existence of nonlocal impulsive fractional integrodifferential equations of order 1 < r < 2 with infinite delay. To begin with, we discuss the existence of a mild solution for the fractional derivatives by using the sectorial operators, the nonlinear alternative of the Leray–Schauder fixed point theorem, mixed Volterra–Fredholm integrodifferential types, and impulsive systems. Furthermore, we develop the optimal control results for the given system. The application of our findings is demonstrated with the help of an example.
AB - This research investigates the existence of nonlocal impulsive fractional integrodifferential equations of order 1 < r < 2 with infinite delay. To begin with, we discuss the existence of a mild solution for the fractional derivatives by using the sectorial operators, the nonlinear alternative of the Leray–Schauder fixed point theorem, mixed Volterra–Fredholm integrodifferential types, and impulsive systems. Furthermore, we develop the optimal control results for the given system. The application of our findings is demonstrated with the help of an example.
KW - fractional derivative
KW - impulsive systems
KW - infinite delay
KW - integrodifferential systems
KW - nonlocal conditions
KW - sectorial operators
UR - https://www.scopus.com/pages/publications/85159617306
U2 - 10.15388/namc.2023.28.31721
DO - 10.15388/namc.2023.28.31721
M3 - Article
AN - SCOPUS:85159617306
SN - 1392-5113
VL - 28
SP - 468
EP - 490
JO - Nonlinear Analysis: Modelling and Control
JF - Nonlinear Analysis: Modelling and Control
IS - 3
ER -