A new fractional derivative for differential equation of fractional order under interval uncertainty
In this article, we develop a new definition of fractional derivative under interval uncertainty. This fractional derivative, which is called conformable fractional derivative, inherits some interesting properties from the integer differentiability which is more convenient to work with the mathemati...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Publishing Corporation
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/54873/1/A%20New%20fractional%20derivative%20for%20differential%20equation%20of%20fractional%20order.pdf http://psasir.upm.edu.my/id/eprint/54873/ |
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| Institution: | Universiti Putra Malaysia |
| Language: | English |
| Summary: | In this article, we develop a new definition of fractional derivative under interval uncertainty. This fractional derivative, which is called conformable fractional derivative, inherits some interesting properties from the integer differentiability which is more convenient to work with the mathematical models of the real-world phenomena. The interest for this new approach was born from the notion that makes a dependency just on the basic limit definition of the derivative. We will introduce and prove the main features of this well-behaved simple fractional derivative under interval arithmetic uncertainty. The actualization and usefulness of this approach are validated by solving two practical models. |
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