Fractional calculus

On integrability of the time fractional nonlinear heat conduction equation

Nonlocal thermoelastic vibration of a solid medium subjected to a pulsed heat flux via Caputo–Fabrizio fractional derivative heat conduction

Time-fractional heat transfer equations in modeling of the non-contacting face seals

Analytical solution of time fractional Cattaneo heat equation for finite slab under pulse heat flux

Fractional heat conduction in a space with a source varying harmonically in time and associated thermal stresses

Fractional Modeling of Fin on non-Fourier Heat Conduction via Modern Fractional Differential Operators

Dynamic response of a half-space with time-fractional heat conduction and nonlocal strain theory

A Semi-Explicit Algorithm for Parameters Estimation in a Time-Fractional Dual-Phase-Lag Heat Conduction Model

Computational analysis of fractional heat conduction with fading memory

Application of fractional derivatives in the Guyer and Krumhansl heat transfer control model for magneto-thermoelastic analysis of transversely isotropic annular cylinders

A Note on the Non‐Local Heat Equation With Time Delay

ANALYTICAL SOLUTION OF A FRACTIONAL ORDER THREE-DIMENSIONAL BOUNDARY VALUE PROBLEM FOR A HALF-SPACE UNDER THERMAL SHOCK