Basic Theory of Fractional Differential Equations

Author: Yong Zhou

Genre: Mathematics / Calculus

ISBN: 978-9814579896

Published: 2014

Description:
The concept of fractional derivative appeared for the first time in a famous correspondence between G.A. de L’Hospital and G.W. Leibniz in 1695. Many mathematicians have further developed this area, and we can mention the studies of L. Euler (1730), J.L. Lagrange (1772), P.S. Laplace (1812), J.B.J. Fourier (1822), N.H. Abel (1823), J. Liouville (1832), B. Riemann (1847), H.L. Greer (1859), H. Holmgren
(1865), A.K. Gr¨unwald (1867), A.V. Letnikov (1868), N.Ya. Sonin (1869), H. Laurent (1884), P.A. Nekrassov (1888), A. Krug (1890), J. Hadamard (1892), O. Heaviside (1892), S. Pincherle (1902), G.H. Hardy and J.E. Littlewood (1917), H. Weyl (1919), P. L´evy (1923), A. Marchaud (1927), H.T. Davis (1924), A. Zygmund (1935), E.R. Love (1938), A. Erd´elyi (1939), H. Kober (1940), D.V. Widder (1941),
M. Riesz (1949) and W. Feller (1952). In the past sixty years, fractional calculus has played a very important role in various fields such as physics, chemistry, mechanics, electricity, biology, economics, control theory, signal and image processing, biophysics, blood flow phenomena, aerodynamics, fitting of experimental data, etc.

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