Existence and controllability of fractional evolution equation with sectorial operator and impulse
From MaRDI portal
Publication:1712403
DOI10.1186/s13662-018-1664-1zbMath1446.34020OpenAlexW2809650894MaRDI QIDQ1712403
Publication date: 22 January 2019
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-018-1664-1
Controllability (93B05) Ordinary differential equations with impulses (34A37) Fractional derivatives and integrals (26A33) Nonlinear differential equations in abstract spaces (34G20) Control problems involving ordinary differential equations (34H05) Fractional ordinary differential equations (34A08)
Related Items
Unnamed Item ⋮ The e-positive mild solutions for impulsive evolution fractional differential equations with sectorial operator ⋮ Controllability of nonlinear fractional evolution systems in Banach spaces: a survey ⋮ Approximation theorems for controllability problem governed by fractional differential equation
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A survey of Lyapunov functions, stability and impulsive Caputo fractional differential equations
- Nonlocal impulsive fractional differential inclusions with fractional sectorial operators on Banach spaces
- Impulsive fractional partial differential equations
- An approximate solution method for ordinary fractional differential equations with the Riemann-Liouville fractional derivatives
- Abstract Cauchy problem for fractional differential equations
- On the concept and existence of solution for impulsive fractional differential equations
- PC-almost automorphic solution of impulsive fractional differential equations
- The existence of mild solutions for impulsive fractional partial differential equations
- Controllability of fractional evolution nonlocal impulsive quasilinear delay integro-differential systems
- Nonlocal Cauchy problem for fractional evolution equations
- Approximate controllability of impulsive neutral stochastic differential equations with fractional Brownian motion in a Hilbert space
- On the concept of solution for fractional differential equations with uncertainty
- Initial value problems for fractional differential equations involving Riemann-Liouville sequential fractional derivative
- Impulsive fractional differential equations with variable times
- Controllability of fractional-order impulsive neutral functional infinite delay integrodifferential systems in Banach spaces
- Impulsive problems for semilinear differential equations with nonlocal conditions
- Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Controllability of fractional integro-differential evolution equations with nonlocal conditions
- Oscillation criteria for fractional differential equations with mixed nonlinearities
- Existence of mild solutions and controllability of fractional impulsive integrodifferential systems with nonlocal conditions
- Oscillation criteria for second-order superlinear Emden-Fowler neutral differential equations
- Hybrid fixed point theorems with application to fractional evolution equations
- Oscillation criteria for delay and advanced differential equations with nonmonotone arguments
- Oscillation criteria for nonlinear fractional differential equations
- Impulsive fractional differential equations with nonlinear boundary conditions
- Existence and dimension of the set of mild solutions to semilinear fractional differential inclusions
- Existence and uniqueness of mild solutions to impulsive fractional differential equations
- On the existence of the mild solution for semilinear nonlocal fractional Cauchy problem
- Functional Fractional Calculus
- Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
- Null controllability of nonlocal Hilfer fractional stochastic differential equations
- Traveling wave solutions for fractional partial differential equations arising in mathematical physics by an improved fractional Jacobi elliptic equation method
- Controllability of abstract fractional differential evolution equations with nonlocal conditions
- Advances in Fractional Calculus
