Morita, T. and Sato, K. (2013) Liouville and RiemannLiouville Fractional Derivatives via Contour Integrals. Fractional Calculus and Applied Analysis, 16, 630653.
http://dx.doi.org/10.2478/s1354001300409

has been cited by the following article:

• TITLE: Solution of Differential Equations with the Aid of an Analytic Continuation of Laplace Transform

  AUTHORS: Tohru Morita, Ken-ichi Sato

  KEYWORDS: Laplace’s Differential Equation, Kummer’s Differential Equation, Fractional Differential Equation, Laplace Transform, Analytic Continuation via Hankel’s Contour

  JOURNAL NAME: Applied Mathematics, Vol.5 No.8, May 8, 2014

  ABSTRACT: We discuss the solution of Laplace’s differential equation and a fractional differential equation of that type, by using analytic continuations of Riemann-Liouville fractional derivative and of Laplace transform. We show that the solutions, which are obtained by using operational calculus in the framework of distribution theory in our preceding papers, are obtained also by the present method.