Approximate Controllability of Partial Fractional Neutral Integro-Differential Inclusions With Infinite Delay in Hilbert Spaces
2016 ◽
Vol 11
(1)
◽
Keyword(s):
We study the approximate controllability of a class of fractional partial neutral integro-differential inclusions with infinite delay in Hilbert spaces. By using the analytic α-resolvent operator and the fixed point theorem for discontinuous multivalued operators due to Dhage, a new set of necessary and sufficient conditions are formulated which guarantee the approximate controllability of the nonlinear fractional system. The results are obtained under the assumption that the associated linear system is approximately controllable. An example is provided to illustrate the main results.
2018 ◽
Vol 36
(2)
◽
pp. 603-622
◽
2020 ◽
Vol 37
(4)
◽
pp. 1133-1167
2014 ◽
Vol 62
(2)
◽
pp. 205-215
◽
2016 ◽
pp. dnw049
◽