Transactions in Theoretical and Mathematical Physics

Transactions in Theoretical and Mathematical Physics

Controllability of fractional stochastic neutral integro-differential equations with state-dependent delay in Frechet spaces

Document Type : Original Article

Authors
Pradeepa R 1
Jayaraman R 2
1 Paavai Engineering College
2 Department of Mathematics, Government Arts and Science College, Pappireddipatti, Tamil Nadu, India.
10.30511/ttmp.2025.2043936.1043
Abstract
This paper explores the existence and controlla-
bility of state-dependent delay functionally neutral stochas-
tic fractional integro-differential equations within Frechet
spaces. By employing fixed point techniques, solution oper-
ator characteristics, and fractional calculus, we have estab-
lished the conditions for these systems’ controllability. The
findings are significant in extending the theoretical frame-
work of fractional differential equations with practical im-
plications in various scientific fields. An illustrative exam-
ple is provided to demonstrate the application of the main
results. This research contributes to the deeper understand-
ing and potential application of fractional stochastic systems
in diverse disciplines.
Keywords
Fractional differential equations
solution operator
stochastic differential system
state-dependent delay and fixed point theorem
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Transactions in Theoretical and Mathematical Physics
Volume 2, Issue 1
Winter 2025
Pages 54-65

  • Receive Date 21 October 2024
  • Accept Date 25 February 2025
  • First Publish Date 25 February 2025
  • Publish Date 01 February 2025