A novel approach to approximate fractional derivative with uncertain conditions

• Main Authors: Ahmadian, A., Salahshour, S., Al-Bakri, M. Ali, Ismail, Fudziah, Baleanu, D.
• Format: Article
• Language: English
• Published: Elsevier 2017
• Online Access: http://psasir.upm.edu.my/id/eprint/60678/1/A%20novel%20approach%20to%20approximate%20fractional%20derivative%20with%20uncertain%20conditions.pdf; http://psasir.upm.edu.my/id/eprint/60678/; https://reader.elsevier.com/reader/sd/pii/S0960077917303193?token=3AAD781EA8B444DE42FF612CAE3D299E8A53E6186FC50AC3C6C4BA2C03231F3BC3E60D9EA31AED3659110A4EC0D43EED

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 unce...