In this paper, a tutorial introduction to the two-scale fractal calculus is given. The two-scale
fractal derivative is conformable with the traditional differential derivatives. When the fractal …

Treelike structures abound in natural as well as man-made transport systems, which have
fascinated multidisciplinary researchers to study the transport phenomena and properties …

The melting heat transfer characteristics of PCM were studied in different combined types of
heat exchangers. The effect of combining two different bifurcation level fractal fins was …

Capillary flow has garnered significant attention due to its unique dynamic characteristics
that require no external force. Creating a quantitative analytical model to evaluate capillary …

Latent thermal energy storage (LTES) technology applied in the recovery of industrial waste
heat, solar thermal applications, and energy conversation of buildings, etc. can solve the …

Rocks with shear fractures or faults widely exist in nature such as oil/gas reservoirs, and hot
dry rocks, etc. In this work, the fractal scaling law for length distribution of fractures and the …

Coal reservoir is a typical double pore medium, and the magnitude of its permeability is
controlled by the parameters of the fracture pore structure. However, the relationship …

A nonlinear vibration system in a fractal space can be effectively modeled using the fractal
derivatives, and the homotopy perturbation method is employed to solve fractal Duffing …

Considering the increasing gap between energy demand and clean energy supply
availability, there is a strong need to impart novel design structures to effectively utilize the …

Seepage processes in tree-fractal networks have attracted extensive research, but the
results of most of these studies presuppose a constant pore cross section. This research …