title: Solution of fractional bioheat equation in terms of Fox's H-function.
abstract: 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 [Formula: see text] and Riesz-Feller fractional derivative of order [Formula: see text] respectively. We obtain solution in terms of Fox's H-function with some special cases, by using Fourier-Laplace transforms.
authors.affiliation: Department of Applied Mathematics and Humanities, S. V. National Institute of Technology, Surat, 395 007 India.
authors.forename: R S
authors.initials: RS
authors.lastname: Damor
authors.affiliation: Department of Applied Mathematics and Humanities, S. V. National Institute of Technology, Surat, 395 007 India.
authors.forename: Sushil
authors.initials: S
authors.lastname: Kumar
authors.affiliation: Department of Applied Mathematics and Humanities, S. V. National Institute of Technology, Surat, 395 007 India.
authors.forename: A K
authors.initials: AK
authors.lastname: Shukla
keywords: Caputo derivative; Fox’s H-function; Fractional bioheat equation; Riesz–Feller derivative