A Cauchy-Type Problem Involving a Weighted Sequential Derivative

摘要：

A Cauchy-type nonlinear problem for a class of fractional differential equations involving sequential derivatives is considered. Some Properties and composition identities are derived. The equivalence with the associated integral equation is established. The existence and uniqueness of global solutions in the space of Lebesgue integrable function is proved.

关键词： fractional derivatives Riemann-Liouville fractional derivative sequential fractional derivative fractional differential equation.

作者: Khaled M. Furati

作者单位: Department of Mathematics & Statistics, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia

会议类型: 国际会议

会议名称: The Fifth Symposium on Fractional Differentiation and Its Applications(第五届国际自动控制联合会分数阶导数及其应用会议)

会议地点: 南京

会议语种:英文

页码: 1-5

在线出版日期: 2012-05-14（万方平台首次上网日期，不代表论文的发表时间）