Approximate controllability of neutral fractional stochastic differential systems with control on the boundary

Ahmed, Hamdy M.

doi:10.3934/naco.2023013

Cited by 3 publications

(1 citation statement)

References 31 publications

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“…Ahmed et al [37] established the approximate boundary controllability of nonlocal Hilfer fractional stochastic differential systems with fBm and Poisson jumps. Ahmed [38] studied the approximate controllability of neutral fractional stochastic differential systems with control on the boundary. However, to the best of our knowledge, so far, no work has been reported in the literature about the approximate boundary controllability of Hilfer fractional neutral stochastic differential inclusions with fBm and Clarke's subdifferential.…”

Section: Introductionmentioning

confidence: 99%

Hilfer Fractional Neutral Stochastic Differential Inclusions with Clarke’s Subdifferential Type and fBm: Approximate Boundary Controllability

Nandhaprasadh,

Udhayakumar

2024

Contemp. Math.

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In this paper, the approximate boundary controllability of Hilfer fractional neutral stochastic differential inclusions with fractional Brownian motion (fBm) and Clarke’s subdifferential in Hilbert space is discussed. The existence of a mild solution of Hilfer fractional neutral stochastic differential inclusions with fractional Brownian motion and Clarke’s subdifferential is proved by using fractional calculus, compact semigroups, the fixed point theorem, stochastic analysis, and multivalued maps. The required conditions for the approximate boundary controllability of this system are defined according to a corresponding linear system that is approximately controllable. To demonstrate how our primary findings may be used, a final example is provided.

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Section: Introductionmentioning

confidence: 99%

Hilfer Fractional Neutral Stochastic Differential Inclusions with Clarke’s Subdifferential Type and fBm: Approximate Boundary Controllability

Nandhaprasadh,

Udhayakumar

2024

Contemp. Math.

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Approximate controllability of second-order neutral measure driven systems with state-dependent delay

Fan,

Qiang

2024

International Journal of Control

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Novel closed-loop controllers for fractional nonlinear quadratic systems

Malmir

2023

MMC

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<abstract><p>A novel closed-loop optimal controller for fractional nonlinear quadratic optimal control problems is introduced. By using a new idea, the optimality conditions for the fractional nonlinear problems are derived. The linearized Riccati fractional order differential equation is derived and a new solution method is given for the first time, which can be applied to integer order nonlinear optimal control problems. The proposed closed-loop controller is applied to illustrative examples. Novel unprecedented processes of designing a variable linear controller and of finding the optimal performance index for integer order nonlinear systems are presented.</p></abstract>

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Approximate controllability of neutral fractional stochastic differential systems with control on the boundary

Cited by 3 publications

References 31 publications

Hilfer Fractional Neutral Stochastic Differential Inclusions with Clarke’s Subdifferential Type and fBm: Approximate Boundary Controllability

Hilfer Fractional Neutral Stochastic Differential Inclusions with Clarke’s Subdifferential Type and fBm: Approximate Boundary Controllability

Approximate controllability of second-order neutral measure driven systems with state-dependent delay

Novel closed-loop controllers for fractional nonlinear quadratic systems

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