Abstract
Variational methods and critical point theorems are used to discuss existence of infinitely many solutions to boundary value problem for fractional order differential equations where Riemann-Liouville fractional derivatives and Caputo fractional derivatives are used. An example is given to illustrate our result.
Acknowledgements
The authors have been partially supported by the “Gruppo Nazionale per l’Analisi Matematica, la Probabilità e le loro Applicazioni (GNAMPA)” of the ”Istituto Nazionale di Alta Matematica (INdAM)”. In particular, the second author is holder of a postdoctoral fellowship from the INdAM/INGV research project “Strategic Initiatives for the Environment and Security - SIES”.
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© 2018 Diogenes Co., Sofia
Artikel in diesem Heft
- Frontmatter
- Editorial Note
- FCAA related news, events and books
- Research Paper
- Sensitivity analysis for optimal control problems described by nonlinear fractional evolution inclusions
- Finite-time attractivity for semilinear tempered fractional wave equations
- Geometry of curves with fractional-order tangent vector and Frenet-Serret formulas
- Extrapolating for attaining high precision solutions for fractional partial differential equations
- Time optimal controls for fractional differential systems with Riemann-Liouville derivatives
- Inverses of generators of integrated fractional resolvent operator functions
- A variational approach for boundary value problems for impulsive fractional differential equations
- Infinitely many solutions to boundary value problem for fractional differential equations
- A semi-analytic method for fractional-order ordinary differential equations: Testing results
- Blow-up and global existence of solutions for a time fractional diffusion equation
- A note on the Blaschke-Petkantschin formula, Riesz distributions, and Drury’s identity
- Short Paper
- Fractal dimension of Riemann-Liouville fractional integral of 1-dimensional continuous functions
Artikel in diesem Heft
- Frontmatter
- Editorial Note
- FCAA related news, events and books
- Research Paper
- Sensitivity analysis for optimal control problems described by nonlinear fractional evolution inclusions
- Finite-time attractivity for semilinear tempered fractional wave equations
- Geometry of curves with fractional-order tangent vector and Frenet-Serret formulas
- Extrapolating for attaining high precision solutions for fractional partial differential equations
- Time optimal controls for fractional differential systems with Riemann-Liouville derivatives
- Inverses of generators of integrated fractional resolvent operator functions
- A variational approach for boundary value problems for impulsive fractional differential equations
- Infinitely many solutions to boundary value problem for fractional differential equations
- A semi-analytic method for fractional-order ordinary differential equations: Testing results
- Blow-up and global existence of solutions for a time fractional diffusion equation
- A note on the Blaschke-Petkantschin formula, Riesz distributions, and Drury’s identity
- Short Paper
- Fractal dimension of Riemann-Liouville fractional integral of 1-dimensional continuous functions