Adomian decomposition: a tool for solving a system of fractional differential equations

On the Appearance of the Fractional Derivative in the Behavior of Real Materials

Peter J. Torvik, Ronald L. Bagley · Journal of Applied Mechanics · 1984 · 1.3K citations

Engineering, Materials Science, Physics +13

AN ALGORITHM FOR THE NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER

Kai Diethelm · OpenGrey (Institut de l'Information Scientifique et Technique) · 1997 · 561 citations

Natural Sciences, Mathematics, Physics +15

AN OPERATIONAL METHOD FOR SOLVING FRACTIONAL DIFFERENTIAL EQUATIONS WITH THE CAPUTO DERIVATIVES

Yurii F. Luchko, Rudolf Gorenflo · 1999 · 370 citations

Natural Sciences, Mathematics, Derivatives +12

New ideas for proving convergence of decomposition methods

K. Abbaoui, Y. Cherruault · Computers & Mathematics with Applications · 1995 · 355 citations

Computing, Computer Science, Algorithms +11

Analytical approximate solutions for nonlinear fractional differential equations

Nabil Shawagfeh · Applied Mathematics and Computation · 2002 · 276 citations

Natural Sciences, Mathematics, Physics +8