TY - JOUR
TI - Uncertain fractional operator with application arising in the steady heat flow
AU - Salahshour S
AU - Ahmadian A
AU - Ali-Akbari M
AU - Senu N
AU - Baleanu Dumitru
JN - Thermal Science
PY - 2019
VL - 23
IS - 2
SP - 1289
EP - 1296
PT - Article
AB - In the recent years much efforts were made to propose simple and well-behaved  fractional operators to inherit the classical properties from the first  order derivative and overcome the singularity problem of the kernel  appearing for the existing fractional derivatives. Therefore, we propose in  this research an interesting approach to acquire the interval solution of  fractional interval differential equations (FIDEs) under a new fractional  operator, that does not have the above defect with uncertain parameters. In  fact, this scheme is developed to achieve the interval solution of the  uncertain steady heat flow based on the FIDEs. An example is experienced to  illustrate our approach and validate it.