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

Ashish Kumar; Dwijendra N Pandey

doi:10.26637/MJM0704/0012

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, resolvent family, fixed point theorems, state-dependent delay, differential inclusions , $(\beta,\gamma_j )$− resolvent family

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

Ashish Kumar Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, India
Dwijendra N Pandey Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee-247667, India.

Pages: 687-699
Date Published: 01-10-2019
Vol. 7 No. 04 (2019): Malaya Journal of Matematik (MJM)

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