Optimal control of Sobolev-type stochastic Hilfer fractional non-instantaneous impulsive differential inclusion involving Poisson jumps and Clarke subdifferential
DOI10.1049/IET-CTA.2019.0167zbMATH Open1544.9384MaRDI QIDQ6598850
P. Muthukumar, Nagarajan Durga
Publication date: 5 September 2024
Published in: IET Control Theory \& Applications (Search for Journal in Brave)
optimal controlstochastic processesdifferential equationsClarke subdifferentialstochastic analysisPoisson jumpsLeray-Schauder type fixed point theoremnoninstantaneous impulsesBalder theoremSobolev-type stochastic Hilfer fractional noninstantaneous impulsive differential inclusionstochastic dam pollution model
Functional-differential equations with impulses (34K45) Optimal stochastic control (93E20) Functional-differential equations with fractional derivatives (34K37) Functional-differential inclusions (34K09) Impulsive control/observation systems (93C27)
Cites Work
- Existence of mild solution for evolution equation with Hilfer fractional derivative
- Decay mild solutions for two-term time fractional differential equations in Banach spaces
- Topological structure of the solution set for fractional non-instantaneous impulsive evolution inclusions
- Solvability and optimal controls of impulsive Hilfer fractional delay evolution inclusions with Clarke subdifferential
- A numerical approximation of parabolic stochastic partial differential equations driven by a Poisson random measure
- A generalized Gronwall inequality and its application to a fractional differential equation
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Exact null controllability of Sobolev-type Hilfer fractional stochastic differential equations with fractional Brownian motion and Poisson jumps
- Optimal control of second order stochastic evolution hemivariational inequalities with Poisson jumps
- Existence and exponential behavior of multi-valued nonlinear fractional stochastic integro-differential equations with Poisson jumps of Clarke's subdifferential type
- An analysis on the fractional asset flow differential equations
- Applications of fractional calculus in physics
- Mild solutions for abstract fractional differential equations
- Optimization and nonsmooth analysis
- Necessary and sufficient conditions for L1-strong- weak lower semicontinuity of integral functionals
- Nonlinear alternatives for multivalued maps with applications to operator inclusions in abstract spaces
- Solvability and optimal control of semilinear nonlocal fractional evolution inclusion with Clarke subdifferential
- Study a class of Hilfer fractional stochastic integrodifferential equations with Poisson jumps
- Financial Modelling with Jump Processes
- On a new class of abstract impulsive differential equations
- Optimal control of a class of semi‐linear stochastic evolution equations with applications
Related Items (1)
This page was built for publication: Optimal control of Sobolev-type stochastic Hilfer fractional non-instantaneous impulsive differential inclusion involving Poisson jumps and Clarke subdifferential
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6598850)