Article ID Journal Published Year Pages File Type
473423 Computers & Mathematics with Applications 2011 19 Pages PDF
Abstract

In this paper, by the critical point theory, a new approach is provided to study the existence of solutions to the following fractional boundary value problem: {ddt(120Dt−β(u′(t))+12tDT−β(u′(t)))+∇F(t,u(t))=0,a.e. t∈[0,T],u(0)=u(T)=0, where 0Dt−β and tDT−β are the left and right Riemann–Liouville fractional integrals of order 0≤β<10≤β<1 respectively, F:[0,T]×RN→R is a given function and ∇F(t,x)∇F(t,x) is the gradient of FF at xx. Our interest in this problem arises from the fractional advection–dispersion equation (see Section 2). The variational structure is established and various criteria on the existence of solutions are obtained.

Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
Authors
, ,