Existence of Mild Solutions of Abstract Fractional Differential Equations with Fractional Non-Instantaneous Impulsive Conditions

DOI10.5890/DNC.2017.06.005zbMath1379.34055OpenAlexW3144460380MaRDI QIDQ5373789

Subramaniam Kanjanadevi, Juan J. Trujillo, Annamalai Anguraj

Publication date: 27 October 2017

Published in: The interdisciplinary journal of Discontinuity, Nonlinearity and Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5890/dnc.2017.06.005

zbMATH Keywords

resolvent operatorfractional derivativenonlocal conditionsimpulsive conditionsfractional non-instantaneous

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Nonlinear differential equations in abstract spaces (34G20) Fixed-point theorems (47H10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (3)

Existence and Stability Results of Impulsive Stochastic Partial Neutral Functional Differential Equations with Infinite Delays and Poisson Jumps ⋮ Existence and Stability Results for Impulsive Stochastic Functional Integrodifferential Equation with Poisson Jumps ⋮ Approximate Controllability Results for Second Order Neutral Impulsive Stochastic Evolution Equations of Sobolev Type with Unbounded Delay

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