Results on approximate controllability of nondensely defined fractional neutral stochastic differential systems

In our article, we are primarily concentrating on approximate controllability results for nondensely defined fractional neutral stochastic differential systems. By applying the results and ideas belongs to fractional calculus, multivalued maps and fixed point approach, the main results are establish...

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Bibliographic Details
Published in:Numerical methods for partial differential equations 2022-07, Vol.38 (4), p.733-759
Main Authors: Dineshkumar, C., Udhayakumar, R.
Format: Article
Language:English
Subjects:
approximate controllability
Controllability
Differential calculus
Fractional calculus
fractional neutral differential inclusions
Hille‐Yosida condition
integrated semigroup
stochastic systems
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Summary:In our article, we are primarily concentrating on approximate controllability results for nondensely defined fractional neutral stochastic differential systems. By applying the results and ideas belongs to fractional calculus, multivalued maps and fixed point approach, the main results are established. Initially, we establish the approximate controllability of the considered fractional system, then continue to examine the system with infinite delay. In the end, we present an example to demonstrate the theory.
ISSN:0749-159X
1098-2426
DOI:10.1002/num.22687