New Model for Process of Phase Separation in Iron Alloys

作者：Atangana Abdon^*; Alkahtani Badr Saad T

来源：Iranian Journal of Science and Technology Transaction A-Science, 2018, 42(A3): 1351-1356.

DOI：10.1007/s40995-016-0114-8

• Atangana-Baleanu derivatives
• Non-local kernel
• Allen-Cahn equation
• Special solution

Recently, Atangana and Baleanu introduced a novel derivative with fractional order with no singular and non-local kernel based on the Mittag-Leffler function. The new derivative is able to portray material heterogeneities and some structure or media with different scales. The non-locality of the new kernel allows better description of the memory within structure and media with different scales. To explicitly explain the reaction-diffusion within an alloy with different elements says, for instance, FeNi and NiFe, we make use of the newly defined fractional operator to enhance this model. We presented the special solution to the new model and some numerical simulations to appreciate the efficacy of the new derivative with fractional order.

• 出版日期2018-9