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Fundamental solutions to time-fractional heat conduction equations in two joint half-lines

Fundamental solutions to time-fractional heat conduction equations in two joint half-lines

Abstract Heat conduction in two joint half-lines is considered under the condition of perfect contact, i.e. when the temperatures at the contact point and the heat fluxes through the contact point are the same for both regions. The heat conduction in one half-line is described by the equation with the …