TY - JOUR TI - Time-space dependent fractional viscoelastic MHD fluid flow and heat transfer over accelerating plate with slip boundary AU - Chen Shengting AU - Zheng Liancun AU - Li Chunrui AU - Sui Jize JN - Thermal Science PY - 2017 VL - 21 IS - 6 SP - 2337 EP - 2345 PT - Article AB - The MHD flow and heat transfer of viscoelastic fluid over an accelerating plate with slip boundary are investigated. Different from most classical works, a modified time-space dependent fractional Maxwell fluid model is proposed in depicting the constitutive relationship of the fluid. Numerical solutions are obtained by explicit finite difference approximation and exact solutions are also presented for the limiting cases in integral and series forms. Furthermore, the effects of parameters on the flow and heat transfer behavior are analyzed and discussed in detail.