On fractional integro-differential inclusions via the extended fractional Caputo–Fabrizio derivation

We first show that four fractional integro-differential inclusions have solutions. Also, we show that dimension of the set of solutions for the second fractional integro-differential inclusion problem is infinite dimensional under some different conditions.

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Bibliographic Details
Published in:Boundary value problems 2019-04, Vol.2019 (1), p.1-17, Article 79
Main Authors: Baleanu, Dumitru, Rezapour, Shahram, Saberpour, Zohreh
Format: Article
Language:English
Subjects:
Analysis
Approximations and Expansions
Caputo–Fabrizio fractional derivation
Difference and Functional Equations
Dimension of the set of solutions
Fractional differential inclusion
Inclusions
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
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Description
Summary:We first show that four fractional integro-differential inclusions have solutions. Also, we show that dimension of the set of solutions for the second fractional integro-differential inclusion problem is infinite dimensional under some different conditions.
ISSN:1687-2770
1687-2762
1687-2770
DOI:10.1186/s13661-019-1194-0