Abstract
In this paper, a class of nondense impulsive differential equations with nonlocal condition in the frame of the conformable fractional derivative is studied. The abstract results concerning the existence, uniqueness and stability of the integral solution are obtained by using the extrapolation semigroup approach combined with some fixed point theorems.
Acknowledgements
The authors express their sincere thanks to the referee for valuable and insightful comments. Also, the authors are very grateful to the entire team of the Journal of Applied Analysis for their strong efforts.
References
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© 2021 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Lagrangian multipliers for generalized affine and generalized convex vector optimization problems of set-valued maps
- Perturbations on K-fusion frames
- Integral solutions of nondense impulsive conformable-fractional differential equations with nonlocal condition
- Fixed point theorems for a new generalization of contractive maps in incomplete metric spaces and its application in boundary value problems
- Construction of complex potentials for multiply connected domain
- Solution of a transport equation with discontinuous coefficients
- Solving systems of fractional two-dimensional nonlinear partial Volterra integral equations by using Haar wavelets
- Translation uniqueness of phase retrieval and magnitude retrieval of band-limited signals
- Robust synchronization of chaotic fractional-order systems with shifted Chebyshev spectral collocation method
- M-projective curvature tensor on an (LCS)2n+1-manifold
- An adapted integration method for Volterra integral equation of the second kind with weakly singular kernel
- z-arcs in the thirty degrees sector
Artikel in diesem Heft
- Frontmatter
- Lagrangian multipliers for generalized affine and generalized convex vector optimization problems of set-valued maps
- Perturbations on K-fusion frames
- Integral solutions of nondense impulsive conformable-fractional differential equations with nonlocal condition
- Fixed point theorems for a new generalization of contractive maps in incomplete metric spaces and its application in boundary value problems
- Construction of complex potentials for multiply connected domain
- Solution of a transport equation with discontinuous coefficients
- Solving systems of fractional two-dimensional nonlinear partial Volterra integral equations by using Haar wavelets
- Translation uniqueness of phase retrieval and magnitude retrieval of band-limited signals
- Robust synchronization of chaotic fractional-order systems with shifted Chebyshev spectral collocation method
- M-projective curvature tensor on an (LCS)2n+1-manifold
- An adapted integration method for Volterra integral equation of the second kind with weakly singular kernel
- z-arcs in the thirty degrees sector