Investigating the Existence Results for Hilfer Fractional Stochastic Evolution Inclusions of Order $$1&lt;{\mu }&lt;2$$

Pradeesh, J.; Vijayakumar, V.

doi:10.1007/s12346-023-00899-5

Qual. Theory Dyn. Syst.

2023

DOI: 10.1007/s12346-023-00899-5

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Investigating the Existence Results for Hilfer Fractional Stochastic Evolution Inclusions of Order $$1<{\mu }<2$$

J. Pradeesh,

V. Vijayakumar

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Cited by 10 publications

References 36 publications

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Existence and Optimal Controls for Generalized Riemann–Liouville Fractional Sobolev‐Type Stochastic Integrodifferential Equations of Order ϑ∈(1,2)$$ \vartheta \in \left(1,2\right) $$

Johnson,

Vijayakumar,

Kwon

2025

Math Methods in App Sciences

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This manuscript addresses the optimal control of generalized Riemann–Liouville fractional (Hilfer fractional) Sobolev‐type stochastic differential equations of order in separable Hilbert spaces. First, the existence of mild solutions for the system is established using the cosine family of operators and the Leray–Schauder fixed point theorem. Then, the existence of optimal control is demonstrated through Balder's theorem. Finally, an example is provided to illustrate the results.

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Existence and Optimal Controls for Generalized Riemann–Liouville Fractional Sobolev‐Type Stochastic Integrodifferential Equations of Order ϑ∈(1,2)$$ \vartheta \in \left(1,2\right) $$

Johnson,

Vijayakumar,

Kwon

2025

Math Methods in App Sciences

View full text Add to dashboard Cite

show abstract

A note concerning the optimal control results for Hilfer fractional stochastic differential equations of order $$1<{\mu }<2$$

Pradeesh,

Panda,

Vijayakumar

et al. 2025

J. Appl. Math. Comput.

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A New Approach on the Approximate Controllability Results for Hilfer Fractional Stochastic Hemivariational Inequalities of Order $$1<\mu <2$$

Pradeesh,

Vijayakumar

2024

Qual. Theory Dyn. Syst.

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Investigating the Existence Results for Hilfer Fractional Stochastic Evolution Inclusions of Order $$1<{\mu }<2$$

Cited by 10 publications

References 36 publications

Existence and Optimal Controls for Generalized Riemann–Liouville Fractional Sobolev‐Type Stochastic Integrodifferential Equations of Order ϑ∈(1,2)$$ \vartheta \in \left(1,2\right) $$

Existence and Optimal Controls for Generalized Riemann–Liouville Fractional Sobolev‐Type Stochastic Integrodifferential Equations of Order ϑ∈(1,2)$$ \vartheta \in \left(1,2\right) $$

A note concerning the optimal control results for Hilfer fractional stochastic differential equations of order $$1<{\mu }<2$$

A New Approach on the Approximate Controllability Results for Hilfer Fractional Stochastic Hemivariational Inequalities of Order $$1<\mu <2$$

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