Mild Solutions for Impulsive Functional Differential Equations of Order $$\alpha \in (1,2)$$
DOI10.1007/978-81-322-2485-3_23zbMath1339.34085OpenAlexW2405069838MaRDI QIDQ2801917
Ganga Ram Gautam, Jaydev Dabas
Publication date: 22 April 2016
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-81-322-2485-3_23
fixed point theoremfunctional differential equationsimpulsive conditionsfractional order differential equation
Functional-differential equations with impulses (34K45) Functional-differential equations in abstract spaces (34K30) Fractional ordinary differential equations (34A08) Functional-differential equations with fractional derivatives (34K37)
Cites Work
- Existence of solutions for neutral integro-differential equations with state-dependent delay
- The existence and uniqueness of mild solutions for fractional differential equations with nonlocal conditions of order \(1<\alpha<2\)
- On the concept and existence of solution for impulsive fractional differential equations
- On fractional integro-differential equations with state-dependent delay
- Existence results for fractional neutral integro-differential equations with state-dependent delay
- On Mittag-Leffler-type functions in fractional evolution processes
- On the new concept of solutions and existence results for impulsive fractional evolution equations
- Existence and uniqueness of mild solution for an impulsive neutral fractional integro-differential equation with infinite delay
- Local and global existence of mild solution to an impulsive fractional functional integro-differential equation with nonlocal condition
- Almost automorphic mild solutions to fractional differential equations
- Commutants for Some Classes of Hausdorff Matrices
- On fractional integro-differential inclusions with state-dependent delay in Banach spaces
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