Solution of linear fractional differential equations with constant coefficients.(English)Zbl 0918.34010

Rusev, P. (ed.) et al., Transform methods and special functions. Proceedings of the 1st international workshop, Bankya, Bulgaria, August 12–17, 1994. Sofia: SCT Publishing, 227-237 (1995).
Summary: A method for obtaining explicit analytical solutions to linear differential equations of arbitrary real order with constant coefficients, and initial value problems for such equations, are presented and illustrated by examples.
For the entire collection see [Zbl 0914.00064].

MSC:

 34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. 26A33 Fractional derivatives and integrals 33E20 Other functions defined by series and integrals 33E30 Other functions coming from differential, difference and integral equations 44A10 Laplace transform 44A20 Integral transforms of special functions 45E10 Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) 34A30 Linear ordinary differential equations and systems 34A05 Explicit solutions, first integrals of ordinary differential equations