Abstract
We study fractional Sturm–Liouville operators. We give some basic definitions and properties of fractional calculus. Using the method of Pavlov [31, 30, 32], we prove a theorem on the completeness of the system of eigenvectors and associated vectors of dissipative fractional Sturm–Liouville operators.
References
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© 2017 Walter de Gruyter GmbH, Berlin/Boston
Articles in the same Issue
- Frontmatter
- Impulsive differential inclusions via variational method
- Frame properties of a part of an exponential system with degenerate coefficients in Hardy classes
- A note on two-variable Chebyshev polynomials
- Spectral analysis of dissipative fractional Sturm–Liouville operators
- Common best proximity pairs in strictly convex Banach spaces
- Traces of Muckenhoupt weighted function spaces in case of distant singularities
- The commutativity of prime Γ-rings with generalized skew derivations
- Δμ-sets and ∇μ-sets in generalized topological spaces
- On strong well-posedness of initial-boundary value problems for higher order nonlinear hyperbolic equations with two independent variables
- Area properties associated with a convex plane curve
- Almost semi-correspondence
- The generalization of the Bernstein operator on any finite interval
- Some non-unique fixed point theorems of Ćirić type using rational-type contractive conditions
- On some properties of summability methods with variable order
- On the absolute convergence of Fourier series with respect to general orthonormal systems
Articles in the same Issue
- Frontmatter
- Impulsive differential inclusions via variational method
- Frame properties of a part of an exponential system with degenerate coefficients in Hardy classes
- A note on two-variable Chebyshev polynomials
- Spectral analysis of dissipative fractional Sturm–Liouville operators
- Common best proximity pairs in strictly convex Banach spaces
- Traces of Muckenhoupt weighted function spaces in case of distant singularities
- The commutativity of prime Γ-rings with generalized skew derivations
- Δμ-sets and ∇μ-sets in generalized topological spaces
- On strong well-posedness of initial-boundary value problems for higher order nonlinear hyperbolic equations with two independent variables
- Area properties associated with a convex plane curve
- Almost semi-correspondence
- The generalization of the Bernstein operator on any finite interval
- Some non-unique fixed point theorems of Ćirić type using rational-type contractive conditions
- On some properties of summability methods with variable order
- On the absolute convergence of Fourier series with respect to general orthonormal systems