Existence of mild solutions for impulsive fractional integro-differential inclusions with state-dependent delay
DOI10.3390/MATH5010009zbMath1365.34020OpenAlexW2581830925MaRDI QIDQ2358229
Selvaraj Suganya, Mani Mallika Arjunan
Publication date: 22 June 2017
Published in: Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3390/math5010009
Banach spacefixed point theoremsemigroup theorymultivalued mapfractional order differential equationsimpulsive conditionsstate-dependent delay (SDD)
Integro-ordinary differential equations (45J05) Nonlinear differential equations in abstract spaces (34G20) Ordinary differential inclusions (34A60) General theory of functional-differential equations (34K05) Fractional ordinary differential equations (34A08) Impulsive partial differential equations (35R12)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Existence of solutions for neutral integro-differential equations with state-dependent delay
- Approximate controllability of fractional delay dynamic inclusions with nonlocal control conditions
- Output controllability of the discrete-time linear switched systems
- Nonlocal impulsive fractional differential inclusions with fractional sectorial operators on Banach spaces
- Schauder's fixed-point theorem in approximate controllability problems
- Topics in fractional differential equations
- Weighted pseudo almost automorphic classical solutions and optimal mild solutions for fractional differential equations and application in fractional reaction-diffusion equations
- Existence of mild solutions for impulsive fractional stochastic differential inclusions with state-dependent delay
- Approximate controllability of fractional neutral stochastic functional integro-differential inclusions with infinite delay
- A general class of impulsive evolution equations
- Existence results for a fractional equation with state-dependent delay
- The existence of mild solutions for impulsive fractional partial differential equations
- On fractional integro-differential equations with state-dependent delay
- Existence results for fractional neutral integro-differential equations with state-dependent delay
- On recent developments in the theory of abstract differential equations with fractional derivatives
- Existence results for impulsive neutral stochastic functional integro-differential inclusions with infinite delays
- Existence of the mild solutions for impulsive fractional equations with infinite delay
- Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
- The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
- Existence results for impulsive neutral functional differential equations with infinite delay
- Existence results for impulsive neutral evolution integrodifferential equations with infinite delay
- Stability analysis of impulsive functional differential equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Existence and uniqueness of positive solutions for a fractional switched system
- Existence of solutions for fractional \(q\)-integro-difference inclusions with fractional \(q\)-integral boundary conditions
- On the new concept of solutions and existence results for impulsive fractional evolution equations
- Positive solutions for a class of higher-order singular semipositone fractional differential systems with coupled integral boundary conditions and parameters
- Existence results for an impulsive neutral fractional integrodifferential equation with infinite delay
- On the concept and existence of solutions for fractional impulsive systems with Hadamard derivatives
- Multiple solutions to boundary value problem for impulsive fractional differential equations
- Existence results for an impulsive abstract partial differential equation with state-dependent delay
- Existence and controllability results for nonlocal fractional impulsive differential inclusions in Banach spaces
- Fractional calculus and fractional differential equations in nonreflexive Banach spaces
- Impulsive Differential Inclusions
- A Topological Introduction to Nonlinear Analysis
- Existence of solutions to boundary value problem for impulsive fractional differential equations
- Existence results for impulsive neutral functional differential equations with state-dependent delay
- On fractional integro-differential inclusions with state-dependent delay in Banach spaces
- Fractional integro-differential inclusions with state-dependent delay
This page was built for publication: Existence of mild solutions for impulsive fractional integro-differential inclusions with state-dependent delay