Approximate controllability of multi-term time-fractional stochastic  differential inclusions with nonlocal conditions

Ashish Kumar 1 * and Dwijendra N Pandey 2

doi:10.26637/MJM0704/0012

Approximate controllability of multi-term time-fractional stochastic differential inclusions with nonlocal conditions

Authors :

Ashish Kumar ^{1 *} and Dwijendra N Pandey ²

Author Address :

^1,2Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, India.

*Corresponding author.

Abstract :

In this paper, approximate controllability results are discussed for a class of multi-term time-fractional inclusion differential systems with state-dependent delay. A set of sufficient conditions for the set of non-local non-linear multi-term differential inclusion system has been discussed. An example is also given to verify the derived result.

Keywords :

Fractional calculus, approximate controllability, multi-term time-fractional delay differential system, $(\beta,\gamma_j)-$ resolvent family, fixed point theorems, differential inclusions,state-dep

DOI :

10.26637/MJM0704/0012

Article Info :

Received : June 24, 2019; Accepted : September 18, 2019.