Geodesic
Initial value problems for fractional functional differential inclusions with Hadamard type derivative
Archivum mathematicum, Tome 52 (2016) no. 4, pp. 263-273.

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We establish sufficient conditions for the existence of solutions of a class of fractional functional differential inclusions involving the Hadamard fractional derivative with order α∈(0,1]. Both cases of convex and nonconvex valued right hand side are considered.
DOI : 10.5817/AM2016-4-263
Classification : 26A33, 34A60
Mots-clés : fractional differential inclusion; Hadamard-type fractional derivative; fractional integral; fixed point; convex 
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Guerraiche, Nassim; Hamani, Samira; Henderson, Johnny. Initial value problems for fractional functional differential inclusions with Hadamard type derivative. Archivum mathematicum, Tome 52 (2016) no. 4, pp. 263-273. doi : 10.5817/AM2016-4-263. https://geodesic-test.mathdoc.fr/articles/10.5817/AM2016-4-263/
  • Guerraiche, Nassim; Hamani, Samira; Henderson, Johnny Oscillation and nonoscillation for Caputo-Hadamard fractional differential inclusions in Banach spaces, Fixed Point Theory, Volume 24 (2023) no. 2, pp. 611-626 | DOI:10.24193/fpt-ro.2023.2.10 | Zbl:7884501
  • Benchohra, Mouffak; Graef, John R.; Guerraiche, Nassim; Hamani, Samira Nonlinear boundary value problems for fractional differential inclusions with Caputo-Hadamard derivatives on the half line, AIMS Mathematics, Volume 6 (2021) no. 6, pp. 6278-6292 | DOI:10.3934/math.2021368 | Zbl:1484.34016
  • Zahed, Ahmed; Hamani, Samira; Henderson, Johnny Boundary value problems for Caputo-Hadamard fractional differential inclusions with integral conditions, Moroccan Journal of Pure and Applied Analysis, Volume 6 (2020) no. 1, pp. 62-75 | DOI:10.2478/mjpaa-2020-0006 | Zbl:1549.34070
  • Guerraiche, Nassim; Hamani, Samira; Henderson, Johnny Addendum to “Initial value problems for fractional functional differential inclusions with Hadamard type derivative”., Archivum Mathematicum, Volume 53 (2017) no. 1, p. 63 | Zbl:1424.34071

Cité par 4 documents. Sources : zbMATH