derivatives for selected functions are introduced and visualized through graphical representations, highlighting their practical implications.Furthermore, the research paved the way for the development of new classes of fractional multiplicative integrals and derivatives, thereby expanding the theoretical ...
Fractional Integrals and Derivatives 作者:Stefan G·Samko/Anatoly A·Kilbas/Oleg I·Marichev 出版社:CRC 副标题:Theory and Applications 出版年:1993-12-08 定价:USD 539.95 装帧:Hardcover ISBN:9782881248641 豆瓣评分 评价人数不足 评价: 写笔记
Unified Expression of Derivatives and Integrals Differintegrals Other Definitions of Differintegrals Properties of Differintegrals Differintegrals of Some Functions Mathematical Techniques with Differintegrals Applications Of Differintegrals in Science and Engineering Problems...
Chapter 2 Fractional integrals and fractional derivatives Pages 69-133 select article Chapter 3 Ordinary fractional differential equations. Existence and uniqueness theorems Research articleAbstract only Chapter 3 Ordinary fractional differential equations. Existence and uniqueness theorems ...
Samko SG, Kilbas A, Marichev O (eds) (1993) Fractional Integrals and Derivatives: Theory and Applications. Gordon and Breach Science Publishers, USA Podlubny I (ed) (1998) Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of ...
This paper presents a review of definitions of fractional order derivatives and integrals that appear in mathematics, physics, and engineering. 1. Introduction In 1695, l’Hôpital sent a letter to Leibniz. In his message, an important question about the order of the derivative emerged: What mi...
Rudin, W.: Real and Complex Analysis. McGraw-Hill, New York (1966) MATH Google Scholar Set, E.: New inequalities of Ostrowski type for mappings whose derivatives are s-convex in the second sense via fractional integrals. Comput. Math. Appl. 63, 1147–1154 (2012) Article MathSciNet MATH...
A generalized version of fractional models is introduced for the COVID-19 pandemic, including the effects of isolation and quarantine. First, the general structure of fractional derivatives and integrals is discussed; then the generalized fractional model is defined from which the stability results are...
Two main differences between fractional calculus and classical calculus are, (1) fractional integrals and derivatives are nonlocal, and (2) in the limit results obtained from fractional calculus coincide with those obtained from classical calculus. This makes fractional calculus to be richer than ...
2) Riemann-Liouville fractional derivatives and integrals Riemann-Liouville分数导数和积分3) integral summation 积分和式4) fractional derivative(integral) 分数阶导数(积分)5) fractional derivative/integral 分数阶导数/积分6) Derivative and integral 导数与积分 例句>> ...