Abstract
In this paper, we investigate the existence of mild solutions of impulsive fractional integrodifferential evolution equations with nonlocal conditions via the fixed point theorems and fractional cosine family combined with solutions operator theorems. Our results improve and generalize some classical results. Finally, an example is given to illustrate the main results.
Funding statement: This work is supported by National Natural Science Foundation of China (11661071).
Competing interests: The authors declare that they have no competing interests.
Authors’ contributions: All authors contributed equally and significantly in writing this paper. All authors read and approved the final manuscript.
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© 2019 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Original Research Articles
- Existence Results of Mild Solutions for Impulsive Fractional Integrodifferential Evolution Equations With Nonlocal Conditions
- Conservation Laws of Space-Time Fractional mZK Equation for Rossby Solitary Waves with Complete Coriolis Force
- Abundant Lump Solution and Interaction Phenomenon of (3+1)-Dimensional Generalized Kadomtsev–Petviashvili Equation
- Multiple Solitary Wave Solutions for Nonhomogeneous Quasilinear Schrödinger Equations
- Fuzzy Logic Controller for Obstacle Avoidance of Mobile Robot
- Optimal Thrust Programming Along the Brachistochronic Trajectory with Non-linear Drag
- Numerical Treatment of the Fractional Modeling on Susceptible-Infected-Recovered Equations with a Constant Vaccination Rate by Using GEM
- The Fractional Chua Chaotic System: Dynamics, Synchronization, and Application to Secure Communications
- Dynamics of a Predator–Prey Model with Holling Type II Functional Response Incorporating a Prey Refuge Depending on Both the Species
Articles in the same Issue
- Frontmatter
- Original Research Articles
- Existence Results of Mild Solutions for Impulsive Fractional Integrodifferential Evolution Equations With Nonlocal Conditions
- Conservation Laws of Space-Time Fractional mZK Equation for Rossby Solitary Waves with Complete Coriolis Force
- Abundant Lump Solution and Interaction Phenomenon of (3+1)-Dimensional Generalized Kadomtsev–Petviashvili Equation
- Multiple Solitary Wave Solutions for Nonhomogeneous Quasilinear Schrödinger Equations
- Fuzzy Logic Controller for Obstacle Avoidance of Mobile Robot
- Optimal Thrust Programming Along the Brachistochronic Trajectory with Non-linear Drag
- Numerical Treatment of the Fractional Modeling on Susceptible-Infected-Recovered Equations with a Constant Vaccination Rate by Using GEM
- The Fractional Chua Chaotic System: Dynamics, Synchronization, and Application to Secure Communications
- Dynamics of a Predator–Prey Model with Holling Type II Functional Response Incorporating a Prey Refuge Depending on Both the Species