A Hybrided Method for Temporal Variable-Order Fractional Partial Differential Equations with Fractional Laplace Operator
Chengyi Wang,
Shichao Yi
Abstract:In this paper, we present a more general approach based on a Picard integral scheme for nonlinear partial differential equations with a variable time-fractional derivative of order α(x,t)∈(1,2) and space-fractional order s∈(0,1), where v=u′(t) is introduced as the new unknown function and u is recovered using the quadrature. In order to get rid of the constraints of traditional plans considering the half-time situation, integration by parts and the regularity process are introduced on the variable v. The conve… Show more
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