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Publication Details
AFRICAN RESEARCH NEXUS
SHINING A SPOTLIGHT ON AFRICAN RESEARCH
mathematics
Retracted: Fuzzy fractional Ostrowski inequality with Caputo differentiability
Journal of Inequalities and Applications, Volume 2013, Article 50, Year 2013
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Description
The use of fractional inequalities in mathematical models is increasingly widespread in recent years. In this manuscript, we firstly propose the right Caputo derivative of fuzzy-valued functions about fractional order ? (0 < ? < 1). To this end, we consider two types of differentiability (similar to the non-fractional case). Then we derive the equivalent integral forms of original fuzzy fractional differential equations. Finally, we prove the fuzzy Ostrowski inequality involving three functions under Caputo's differentiability. In this regard, we state some new results. © 2013 Allahviranloo et al.
Authors & Co-Authors
Allahviranloo, Tofigh A.
Iran, Tehran
Islamic Azad University, Science and Research Branch
Avazpour, Ladan
Iran, Yasuj
Islamic Azad University, Yasuj Branch
Ebadi, M. J.
Iran, Chabahar
Chabahar Maritime University
Bǎleanu, Dumitru I. I.
Turkey, Ankara
Çankaya Üniversitesi
Saudi Arabia, Jeddah
King Abdulaziz University
Romania, Bucharest
Institute for Space Sciences, Bucharest
Salahshour, Soheil
Iran, Tehran
Islamic Azad University
Statistics
Citations: 5
Authors: 5
Affiliations: 7
Identifiers
Doi:
10.1186/1029-242X-2013-50
ISSN:
10255834
e-ISSN:
1029242X