This article investigates several fractal heat transfer problems from the
local fractional calculus viewpoint. At low and high excess temperatures,
the linear and nonlinear heat-transfer equations are presented. The
non-homogeneous linear and nonlinear oscillator equations in fractal heat
transfer are discussed. The results are adopted to present the behaviors of
the heat transfer in fractal media.
Recently Kiryakova and several other ones have investigated so-called
multiindex Mittag-Leffler functions associated with fractional calculus.
Here, in this paper, we aim at establishing a new fractional integration
formula (of pathway type) involving the generalized multiindex Mittag-Leffler
function E?,k[(?j,?j)m;z]. Some interesting special cases of our main result
are also considered and shown to be connected with certain known ones.
On the fractal heat transfer problems with local fractional calculus
