A Poster about the Old History of Fractional Calculus

The fractional calculus (FC) is an area of intensive research and development. In a previous paper and poster we tried to exhibit its recent state, surveying the period of 1966-2010. The poster accompanying the present note illustrates the major contributions during the period 1695-1970, the \old history" of FC.

[1]  I. Podlubny.  Fractional differential equations , 1998 .

[2]  F. Mainardi,et al.  Recent history of fractional calculus , 2011 .

[3]  O. Marichev,et al.  Fractional Integrals and Derivatives: Theory and Applications , 1993 .

[4]  M. Mikolás.  On the recent trends in the development, theory and applications of fractional calculus , 1975 .

[5]  F. Mainardi.  Fractional Calculus and Waves in Linear Viscoelasticity: An Introduction to Mathematical Models , 2010 .

[6]  Francesco Mainardi,et al.  A Poster about the Recent History of Fractional Calculus , 2010 .

[7]  St'ephane Dugowson,et al.  Les différentielles métaphysiques : histoire et philosophie de la généralisation de l'ordre de la dérivation , 1994 .

[8]  D. Cafagna,et al.  Fractional calculus: A mathematical tool from the past for present engineers [Past and present] , 2007, IEEE Industrial Electronics Magazine.

[9]  H. Srivastava,et al.  Theory and Applications of Fractional Differential Equations , 2006 .

[10]  P. Williams.  Fractional Calculus of Schwartz Distributions , 2007 .

[11]  K. Miller,et al.  An Introduction to the Fractional Calculus and Fractional Differential Equations , 1993 .

[12]  Lokenath Debnath,et al.  A brief historical introduction to fractional calculus , 2004 .

[13]  B. Ross,et al.  The development of fractional calculus 1695–1900 , 1977 .

[14]  B. Ross,et al.  A BRIEF HISTORY AND EXPOSITION OF THE FUNDAMENTAL THEORY OF FRACTIONAL CALCULUS , 1975 .

[15]  K. B. Oldham,et al.  The Fractional Calculus: Theory and Applications of Differentiation and Integration to Arbitrary Order , 1974 .

[16]  H. Srivastava,et al.  Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies) , 2006 .