This paper provides an analytic solution ofRLelectrical circuit described by a fractional differential equation of the order0<α≤1. We use the Laplace transform of the fractional derivative in the Caputo sense. Some special cases for the different source terms have also been discussed.

Present paper deals with the solution of time and space fractional Pennes bioheat equation. We consider time fractional derivative and space fractional derivative in the form of Caputo fractional derivative of order $$\alpha \in \left( 0,1\right]$$ α ∈ 0 , 1 and Riesz–Feller fractional derivative of order $$\beta \in \left( 1,2\right]$$ β ∈ 1 , 2 respectively. We obtain solution in terms of Fox’s H-function with some special cases, by using Fourier–Laplace transforms.