Fractional Action Cosmology: Some Dark Energy Models in Emergent,   Logamediate and Intermediate Scenarios of the Universe
  In the framework of Fractional Action Cosmology, we have reconstructed the scalar potentials and scalar fields, namely, quintessence, phantom, tachyon, k-essence, DBI-essence, Hessence, dilaton field and Yang-Mills field. To get more physical picture of the variation of the scalar field and potential with time, we express scale factor in emergent, logamediate and intermediate scenarios, under which the Universe expands differently. 
Ujjal Debnath, Surajit Chattopadhyay and Mubasher Jamil
physics.gen-ph