TY - JOUR
T1 - Atangana-Baleanu Semilinear Fractional Differential Inclusions With Infinite Delay
T2 - Existence and Approximate Controllability
AU - Williams, W. Kavitha
AU - Kumar, Vijaya
AU - Nisar, Kottakkaran Sooppy
AU - Shukla, Anurag
N1 - Publisher Copyright:
© by ASME.
PY - 2023/2/1
Y1 - 2023/2/1
N2 - The main focus of this paper is centered around approximate controllability results of Atangana-Baleanu fractional differential systems with infinite delay. Using principles and ideas from the theory of multivalued maps, fractional calculus, and Bohnenblust-Karlin fixed point techniques, the key findings are established. We begin by emphasizing the existence of mild solutions, and then demonstrate the approximate controllability of the Atangana-Baleanu fractional control system. We then apply our findings to the theory of the neutral system.
AB - The main focus of this paper is centered around approximate controllability results of Atangana-Baleanu fractional differential systems with infinite delay. Using principles and ideas from the theory of multivalued maps, fractional calculus, and Bohnenblust-Karlin fixed point techniques, the key findings are established. We begin by emphasizing the existence of mild solutions, and then demonstrate the approximate controllability of the Atangana-Baleanu fractional control system. We then apply our findings to the theory of the neutral system.
KW - approximate controllability
KW - Atangana-Baleanu derivative
KW - fractional derivatives and integrals
KW - infinite delay
KW - semigroup and fixed-point theories
UR - https://www.scopus.com/pages/publications/85149210804
U2 - 10.1115/1.4056357
DO - 10.1115/1.4056357
M3 - Article
AN - SCOPUS:85149210804
SN - 1555-1415
VL - 18
JO - Journal of Computational and Nonlinear Dynamics
JF - Journal of Computational and Nonlinear Dynamics
IS - 2
M1 - 021005
ER -