TY - JOUR TI - A new fractional model for convective straight fins with temperature-dependent thermal conductivity AU - Kumar Devendra AU - Singh Jagdev AU - Baleanu Dumitru JN - Thermal Science PY - 2018 VL - 22 IS - 6 SP - 2791 EP - 2802 PT - Article AB - The key aim of this work is to present a new non-integer model for convective straight fins with temperature-dependent thermal conductivity associated with Caputo-Fabrizio fractional derivative. The fractional energy balance equation is solved by using homotopy perturbation method coupled with Laplace transform method. The efficiency of straight fin has been derived in terms of thermo-geometric fin parameter. The numerical results derived by the application of suggested scheme are demonstrated graphically. The subsequent correlation equations are very helpful for thermal design scientists and engineers to design straight fins having temperature-dependent thermal conductivity.