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A novel approach to approximate fractional derivative with uncertain conditions
- Source :
- Chaos, Solitons & Fractals. 104:68-76
- Publication Year :
- 2017
- Publisher :
- Elsevier BV, 2017.
-
Abstract
- This paper focuses on providing a new scheme to find the fuzzy approximate solution of fractional differential equations (FDEs) under uncertainty. The Caputo-type derivative base on the generalized Hukuhara differentiability is approximated by a linearization formula to reduce the corresponding uncertain FDE to an ODE under fuzzy concept. This new approach may positively affect on the computational cost and easily apply for the other types of uncertain fractional-order differential equation. The performed numerical simulations verify the proficiency of the presented scheme.
- Subjects :
- Mathematical optimization
Laplace transform
Differential equation
General Mathematics
Applied Mathematics
Ode
General Physics and Astronomy
Statistical and Nonlinear Physics
02 engineering and technology
01 natural sciences
Fuzzy logic
010305 fluids & plasmas
Fractional calculus
Linearization
ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION
0103 physical sciences
0202 electrical engineering, electronic engineering, information engineering
Fuzzy concept
020201 artificial intelligence & image processing
Differentiable function
Mathematics
Subjects
Details
- ISSN :
- 09600779
- Volume :
- 104
- Database :
- OpenAIRE
- Journal :
- Chaos, Solitons & Fractals
- Accession number :
- edsair.doi...........724cd4e42520c331113abe1061396753