Results on approximate controllability for fractional stochastic delay differential systems of order r ∈ (1,2)

DOI10.1142/s0219493723500478zbMath1528.34061OpenAlexW4386422900MaRDI QIDQ6060957

Anurag Shukla, Udhayakumar Ramalingam, Unnamed Author, Kottakkaran Sooppy Nisar, V. Vijayakumar

Publication date: 30 November 2023

Published in: Stochastics and Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219493723500478

zbMATH Keywords

stochastic equationsapproximate controllabilitymild solutioninfinite delayfractional evolution system

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Controllability (93B05) Functional-differential equations in abstract spaces (34K30) Stochastic functional-differential equations (34K50) Control problems for functional-differential equations (34K35) Functional-differential equations with fractional derivatives (34K37) Functional-differential inclusions (34K09)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Approximate controllability of fractional nonlinear differential inclusions
• Approximate controllability of nonlinear fractional dynamical systems
• Approximate controllability of second-order evolution differential inclusions in Hilbert spaces
• The existence and uniqueness of mild solutions for fractional differential equations with nonlocal conditions of order \(1<\alpha<2\)
• Approximate controllability results for fractional semilinear integro-differential inclusions in Hilbert spaces
• Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems
• Existence and controllability results for fractional semilinear differential inclusions
• Existence of the mild solution for some fractional differential equations with nonlocal conditions
• A Cauchy problem for some fractional abstract differential equation with non local conditions
• Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On a mild solution of a semilinear functional-differential evolution nonlocal problem
• The existence of positive mild solutions for fractional differential evolution equations with nonlocal conditions of order \(1<\alpha<2\)
• Approximate controllability of semilinear Hilfer fractional differential inclusions with impulsive control inclusion conditions in Banach spaces
• Existence of solutions and approximate controllability of fractional nonlocal stochastic differential equations of order \(1<q\leq 2\) with infinite delay and Poisson jumps
• New discussion regarding approximate controllability for Sobolev-type fractional stochastic hemivariational inequalities of order \(r\in(1,2)\)
• A note concerning to approximate controllability of Atangana-Baleanu fractional neutral stochastic systems with infinite delay
• Discussion on the approximate controllability of nonlocal fractional derivative by Mittag-Leffler kernel to stochastic differential systems
• Results on approximate controllability for non-densely defined Hilfer fractional differential system with infinite delay
• Results on controllability of Hilfer fractional neutral differential equations with infinite delay via measures of noncompactness
• Results on the existence and controllability of fractional integro-differential system of order \(1<r<2\) via measure of noncompactness
• A new approach on the approximate controllability of fractional differential evolution equations of order \(1<r<2\) in Hilbert spaces
• A new approach on approximate controllability of fractional evolution inclusions of order \(1<r<2\) with infinite delay
• Results on the approximate controllability of fractional hemivariational inequalities of order \(1< r<2\)
• Approximate controllability and existence of mild solutions for Riemann-Liouville fractional stochastic evolution equations with nonlocal conditions of order \(1 < \alpha < 2\)
• New results on controllability of fractional evolution systems with order \(\alpha\in (1,2)\)
• Hilfer fractional stochastic integro-differential equations
• Existence of solutions and approximate controllability of fractional nonlocal neutral impulsive stochastic differential equations of order \(1<q<2\) with infinite delay and Poisson jumps
• Controllability of impulsive functional differential systems with infinite delay in Banach spaces
• Multi-valued operators and fixed point theorems in Banach algebras. I
• A note on the approximate controllability of Sobolev type fractional stochastic integro-differential delay inclusions with order \(1 < r < 2\)
• Vector-valued Laplace Transforms and Cauchy Problems
• Cosine families and abstract nonlinear second order differential equations
• On controllability of linear stochastic systems
• Approximate controllability of fractional stochastic integro-differential equations with infinite delay of order 1 < α < 2
• The nonlinear Rayleigh‐Stokes problem with Riemann‐Liouville fractional derivative
• A Note on Existence of Global Solutions for Impulsive Functional Integrodifferential Systems
• Existence and regularity results of a backward problem for fractional diffusion equations
• Basic Theory of Fractional Differential Equations
• Boundary value problems on the half-line with impulses and infinite delay
• Controllability discussion for fractional stochastic Volterra-Fredholm integro-differential systems of order \(1<r<2\)
• Optimal Control Results for Sobolev-Type Fractional Stochastic Volterra-Fredholm Integrodifferential Systems of Order ϑ ∈ (1, 2) via Sectorial Operators
• Optimal control results for impulsive fractional delay integrodifferential equations of order 1 < r < 2 via sectorial operator