Abstract
In this paper we study fractional differential inclusions in the sense of Almgren. We begin with a discussion of multiple-valued functions in the Almgren sense and include the basic results needed to make the paper selfcontained. Sufficient background on the fractional calculus is provided to make the material accessible also to the non-specialist readers. Our main result gives sufficient conditions for the existence of at least one solution to the problem under investigation. In addition, we show that the solution set to the problem is compact.
References
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- Fractional differential inclusions in the Almgren sense
- Time-optimal control of fractional-order linear systems
- Analytical solutions for the multi-term time-space fractional reaction-diffusion equations on an infinite domain
- Nonexistence results for a class of evolution equations in the Heisenberg group
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Articles in the same Issue
- Frontmatter
- Fcaa Related News, Events And Books (Fcaa-Volume 18-3-2015)
- Decay solutions for a class of fractional differential variational inequalities
- A biomathematical view on the fractional dynamics of cellulose degradation
- The spreading property for a prey-predator reaction-diffusion system with fractional diffusion
- Fractional variation of Hölderian functions
- Periodic disturbance rejection for fractional-order dynamical systems
- Successive approximation: A survey on stable manifold of fractional differential systems
- When do fractional differential equations have solutions that are bounded by the Mittag--Leffler function ?
- On explicit stability conditions for a linear fractional difference system
- Fractional differential inclusions in the Almgren sense
- Time-optimal control of fractional-order linear systems
- Analytical solutions for the multi-term time-space fractional reaction-diffusion equations on an infinite domain
- Nonexistence results for a class of evolution equations in the Heisenberg group
- High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations (II)
- Dyadic nonlocal diffusions in metric measure spaces
- Fractional derivative anomalous diffusion equation modeling prime number distribution
- Time-fractional diffusion equation in the fractional Sobolev spaces
- Continuous time random walk models associated with distributed order diffusion equations