Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)

Fuzzy fractional differential equations with Nagumo and Krasnoselskii-Krein condition

Authors
Tofigh Allahviranloo, Saeid Abbasbandy, Soheil Salahshour
Corresponding Author
Tofigh Allahviranloo
Available Online August 2011.
DOI
10.2991/eusflat.2011.39How to use a DOI?
Keywords
Fuzzy fractional differential equations, Riemann-Liouville generalized H-differentiability, Nagumo condition, Krasnoselskii-Krein condition.
Abstract

In this paper, we consider two new uniqueness results for fuzzy fractional differential equations (FFDEs) involving Riemann-Liouville generalized H-differentiability with the Nagumo-type condition and the Krasnoselskii-Krein-type condition. To this purpose, the equivalent integral forms of FFDEs are determined and then these are used to study the convergence of the Picard successive approximations.

Copyright
© 2011, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
Series
Advances in Intelligent Systems Research
Publication Date
August 2011
ISBN
10.2991/eusflat.2011.39
ISSN
1951-6851
DOI
10.2991/eusflat.2011.39How to use a DOI?
Copyright
© 2011, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Tofigh Allahviranloo
AU  - Saeid Abbasbandy
AU  - Soheil Salahshour
PY  - 2011/08
DA  - 2011/08
TI  - Fuzzy fractional differential equations with Nagumo and Krasnoselskii-Krein condition
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
PB  - Atlantis Press
SP  - 1038
EP  - 1044
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.39
DO  - 10.2991/eusflat.2011.39
ID  - Allahviranloo2011/08
ER  -