Approximate controllability results for Sobolev‐type delay differential system of fractional order without uniqueness
From MaRDI portal
Publication:6088155
DOI10.1002/num.22642OpenAlexW3100167877WikidataQ115397639 ScholiaQ115397639MaRDI QIDQ6088155
Yong Zhou, V. Vijayakumar, Unnamed Author, Udhayakumar Ramalingam
Publication date: 13 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22642
approximate controllabilityfractional differential equationsreachable setcondensing mapSobolev-type systemnonconvex valued multivalued map
Control/observation systems governed by partial differential equations (93C20) Fractional derivatives and integrals (26A33) Fixed-point theorems (47H10) Fractional partial differential equations (35R11) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs in connection with control and optimization (35Q93) PDEs on time scales (35R07)
Related Items
A note on the existence of Hilfer fractional differential inclusions with almost sectorial operators ⋮ Wellposedness of impulsive functional abstract second-order differential equations with state-dependent delay ⋮ Controllability results for Sobolev type \(\psi\)-Hilfer fractional backward perturbed integro-differential equations in Hilbert space ⋮ A novel technique for solving Sobolev-type fractional multi-order evolution equations
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of mild solutions for fractional integrodifferential equations of Sobolev type with nonlocal conditions
- Approximate controllability results for fractional semilinear integro-differential inclusions in Hilbert spaces
- Existence of solutions to Sobolev-type partial neutral differential equations
- A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
- Existence of mild solutions for fractional neutral evolution equations
- Controllability for systems governed by semilinear differential inclusions in a Banach space with a noncompact semigroup
- A partial functional differential equation of Sobolev type
- A semilinear Sobolev evolution equation in a Banach space
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Approximation and fixed points for compositions of \(R_ \delta\)-maps
- Some probability densities and fundamental solutions of fractional evolution equations
- New results on exact controllability of a class of fractional neutral integro-differential systems with state-dependent delay in Banach spaces
- The fundamental solutions for fractional evolution equations of parabolic type
- Controllability of fractional functional evolution equations of Sobolev type via characteristic solution operators
- On the approximate controllability of neutral integro-differential inclusions of Sobolev-type with infinite delay
- Solutions of boundary value problems on extended-Branciari \(b\)-distance
- A complex valued approach to the solutions of Riemann-Liouville integral, Atangana-Baleanu integral operator and non-linear telegraph equation via fixed point method
- Solutions to fractional neutral delay differential nonlocal systems
- On new approach of fractional derivative by Mittag-Leffler kernel to neutral integro-differential systems with impulsive conditions
- 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
- New results on Caputo fractional-order neutral differential inclusions without compactness
- Results on controllability of non-densely characterized neutral fractional delay differential system
- A new approach to the solution of non-linear integral equations via various \(F_{B_e}\)-contractions
- Solutions of the nonlinear integral equation and fractional differential equation using the technique of a fixed point with a numerical experiment in extended \(b\)-metric space
- Controllability of impulsive fractional functional integro-differential equations in Banach spaces
- Controllability of Sobolev type fractional evolution systems
- Topological degree and nonlinear mappings of analytic type in Banach spaces
- Controllability of non-densely defined neutral functional differential systems in abstract space
- An extension of Tietze's theorem
- Invariance of the Reachable Set under Nonlinear Perturbations
- Controllability of Semilinear Control Systems Dominated by the Linear Part
- Approximate controllability results for impulsive neutral differential inclusions of Sobolev-type with infinite delay
- Controllability results for fractional order neutral functional differential inclusions with infinite delay
- Controllability for a class of second order functional evolution differential equations without uniqueness
- Results on the existence of Hilfer fractional neutral evolution equations with infinite delay via measures of noncompactness
- Approximate controllability results for non-densely defined fractional neutral differential inclusions with Hille–Yosida operators
- Basic Theory of Fractional Differential Equations
- Topological Fixed Point Theory of Multivalued Mappings
- A new study on existence and uniqueness of nonlocal fractional delay differential systems of order 1 < r < 2 in Banach spaces
- Results on approximate controllability results for second‐order Sobolev‐type impulsive neutral differential evolution inclusions with infinite delay
- A new exploration on existence of Sobolev‐type Hilfer fractional neutral integro‐differential equations with infinite delay
