On Solutions of Linear Fractional Differential Equations with Uncertainty

T. Allahviranloo; S. Abbasbandy; M. R. Balooch Shahryari; S. Salahshour; D. Baleanu

doi:10.1155/2013/178378

Abstract and Applied Analysis (Jan 2013)

On Solutions of Linear Fractional Differential Equations with Uncertainty

T. Allahviranloo,
S. Abbasbandy,
M. R. Balooch Shahryari,
S. Salahshour,
D. Baleanu

Affiliations

T. Allahviranloo: Department of Electronic and Communications, Faculty of Engineering, Izmir University, Izmir, Turkey
S. Abbasbandy: Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
M. R. Balooch Shahryari: Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
S. Salahshour: Young Researchers and Elite Club, Mobarakeh Branch, Islamic Azad University, Mobarakeh, Iran
D. Baleanu: Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah 21589, Saudi Arabia

DOI: https://doi.org/10.1155/2013/178378
Journal volume & issue: Vol. 2013

Abstract

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The solutions of linear fuzzy fractional differential equations (FFDEs) under the Caputo differentiability have been investigated. To this end, the fuzzy Laplace transform was used to obtain the solutions of FFDEs. Then, some new results regarding the relation between some types of differentiability have been obtained. Finally, some applicable examples are solved in order to show the ability of the proposed method.

Published in Abstract and Applied Analysis

ISSN: 1085-3375 (Print); 1687-0409 (Online)
Publisher: Hindawi Limited
Country of publisher: United Kingdom
LCC subjects: Science: Mathematics
Website: https://onlinelibrary.wiley.com/journal/4058

About the journal