Initial value problems for fractional functional differential inclusions with Hadamard type derivative

Nassim Guerraiche; Samira Hamani; Johnny Henderson

Archivum Mathematicum (2016)

  • Volume: 052, Issue: 4, page 263-273
  • ISSN: 0044-8753

Abstract

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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.

How to cite

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Guerraiche, Nassim, Hamani, Samira, and Henderson, Johnny. "Initial value problems for fractional functional differential inclusions with Hadamard type derivative." Archivum Mathematicum 052.4 (2016): 263-273. <http://eudml.org/doc/287580>.

@article{Guerraiche2016,
abstract = {We establish sufficient conditions for the existence of solutions of a class of fractional functional differential inclusions involving the Hadamard fractional derivative with order $\alpha \in (0,1]$. Both cases of convex and nonconvex valued right hand side are considered.},
author = {Guerraiche, Nassim, Hamani, Samira, Henderson, Johnny},
journal = {Archivum Mathematicum},
keywords = {fractional differential inclusion; Hadamard-type fractional derivative; fractional integral; fixed point; convex},
language = {eng},
number = {4},
pages = {263-273},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Initial value problems for fractional functional differential inclusions with Hadamard type derivative},
url = {http://eudml.org/doc/287580},
volume = {052},
year = {2016},
}

TY - JOUR
AU - Guerraiche, Nassim
AU - Hamani, Samira
AU - Henderson, Johnny
TI - Initial value problems for fractional functional differential inclusions with Hadamard type derivative
JO - Archivum Mathematicum
PY - 2016
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 052
IS - 4
SP - 263
EP - 273
AB - We establish sufficient conditions for the existence of solutions of a class of fractional functional differential inclusions involving the Hadamard fractional derivative with order $\alpha \in (0,1]$. Both cases of convex and nonconvex valued right hand side are considered.
LA - eng
KW - fractional differential inclusion; Hadamard-type fractional derivative; fractional integral; fixed point; convex
UR - http://eudml.org/doc/287580
ER -

References

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