1. Fractional semilinear differential inclusions
- Author
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Ouahab, Abdelghani
- Subjects
- *
FRACTIONAL calculus , *NONLINEAR differential equations , *DIFFERENTIAL inclusions , *EXISTENCE theorems , *MATHEMATICAL forms , *FIXED point theory , *COMPACTIFICATION (Mathematics) - Abstract
Abstract: In this paper, we first present a version of Filippov’s Theorem for fractional semilinear differential inclusions of the form, where is the Caputo fractional derivative and is a set-valued map. After several existence results, the compactness of solutions sets is also investigated. Some results from topological fixed point theory together with notions of measure of noncompactness are used. [Copyright &y& Elsevier]
- Published
- 2012
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