On a partial Hadamard fractional integral inclusion

Aurelian Cernea

Discussiones Mathematicae, Differential Inclusions, Control and Optimization (2016)

  • Volume: 36, Issue: 2, page 141-153
  • ISSN: 1509-9407

Abstract

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We study a class of nonconvex Hadamard fractional integral inclusions and we establish some Filippov type existence results.

How to cite

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Aurelian Cernea. "On a partial Hadamard fractional integral inclusion." Discussiones Mathematicae, Differential Inclusions, Control and Optimization 36.2 (2016): 141-153. <http://eudml.org/doc/289595>.

@article{AurelianCernea2016,
abstract = {We study a class of nonconvex Hadamard fractional integral inclusions and we establish some Filippov type existence results.},
author = {Aurelian Cernea},
journal = {Discussiones Mathematicae, Differential Inclusions, Control and Optimization},
keywords = {Hadamard fractional derivative; integral inclusion; decomposable set},
language = {eng},
number = {2},
pages = {141-153},
title = {On a partial Hadamard fractional integral inclusion},
url = {http://eudml.org/doc/289595},
volume = {36},
year = {2016},
}

TY - JOUR
AU - Aurelian Cernea
TI - On a partial Hadamard fractional integral inclusion
JO - Discussiones Mathematicae, Differential Inclusions, Control and Optimization
PY - 2016
VL - 36
IS - 2
SP - 141
EP - 153
AB - We study a class of nonconvex Hadamard fractional integral inclusions and we establish some Filippov type existence results.
LA - eng
KW - Hadamard fractional derivative; integral inclusion; decomposable set
UR - http://eudml.org/doc/289595
ER -

References

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  9. [9] A. Cernea, Filippov lemma for a class of Hadamard-type fractional differential inclusions, Fractional Calculus Appl. Analysis 18 (2015), 163-171. doi: 10.1515/fca-2015-0011 
  10. [10] A.F. Filippov, Classical solutions of differential equations with multivalued right hand side, SIAM J. Control 5 (1967), 609-621. doi: 10.1137/0305040 
  11. [11] J. Hadamard, Essai sur l'etude des fonctions donnees par leur development de Taylor, J. Math. Pures Appl. 8 (1892), 101-186. 
  12. [12] A. Kilbas, H.M. Srivastava and J.J. Trujillo, Theory and Applications of Fractional Differential Equations (Elsevier, Amsterdam, 2006). 
  13. [13] A. Kilbas, Hadamard-type fractional calculus, J. Korean Math. Soc. 38 (2001), 1191-1204. 
  14. [14] M. Kisielewicz, Differential Inclusions and Optimal Control (Kluwer, Dordrecht, 1991). 
  15. [15] I. Podlubny, Fractional Differential Equations (Academic Press, San Diego, 1999). 

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