On Solutions of Linear Fractional Differential Equations with Uncertainty | Zendy

Tofigh Allahviranloo | Zendy; S. Abbasbandy | Zendy; M. R. Balooch Shahryari | Zendy; Soheil Salahshour | Zendy; Dumitru Băleanu | Zendy

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On Solutions of Linear Fractional Differential Equations with Uncertainty

Author(s) -

Tofigh Allahviranloo,

S. Abbasbandy,

M. R. Balooch Shahryari,

Soheil Salahshour,

Dumitru Băleanu

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/178378

Subject(s) - mathematics , differentiable function , laplace transform , fuzzy logic , order (exchange) , linear differential equation , differential equation , mathematical analysis , computer science , finance , economics , artificial intelligence

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

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