电子学报2013，Vol.41Issue(3)：508-512,5.DOI:10.3969/j.issn.0372-2112.2013.03.015
分数阶微积分的一种物理解释和定域长分数阶微积分
A Physical Interpretation of Fractional Calculus and Fractional Calculus with Constant Extent of Integral
摘要
Abstract
In this paper the order-range applied by fractional calculus R-L definition,G-L definition and Caputo definition a-long with the connections between above three definitions are discussed.The differences of fractional-order derivatives and integer-order derivatives are pointed out. An uniform formula of fractional-order integrals and derivatives along with a physical interpretation of fractional calculus are given. The definition of fractional calculus with constant extent of integral and its direct numerical value arithmetic are put forward,and its application is anticipated.关键词
分数阶微积分R-L定义/分数阶微积分G-L定义/分数阶微积分Caputo定义/分数阶微积分的物理解释/定域长分数阶微积分Key words
R-L definition of fractional calculus/G-L definition of fractional calculus/ caputo definition of fractional calculus/ physical interpretation of fractional calculus/fractional calculus with constant extent of integral分类
信息技术与安全科学引用本文复制引用
张旭秀,邱天爽,盛虎..分数阶微积分的一种物理解释和定域长分数阶微积分[J].电子学报,2013,41(3):508-512,5.基金项目
国家自然科学基金(No.61003175/F020504,No.61201419) （No.61003175/F020504,No.61201419）
中国博士后科学基金(No.20080441121) （No.20080441121）
辽宁省自然科学基金(No.20112015) （No.20112015）
