Liouville and Riemann-Liouville fractional derivatives via contour integrals

DOI10.2478/s13540-013-0040-9zbMath1312.30051OpenAlexW2084985272MaRDI QIDQ2347332

Tohru Morita, Ken-ichi Sato

Publication date: 27 May 2015

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s13540-013-0040-9

zbMATH Keywords

Mellin transformfractional calculusanalytic continuationfractional derivativePochhammer's contour

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Approximation in the complex plane (30E10)

Related Items (3)

Solution of differential equations with polynomial coefficients with the aid of an analytic continuation of Laplace transform ⋮ Solution of inhomogeneous differential equations with polynomial coefficients in terms of the Green's function ⋮ The time independent fractional Schrödinger equation with position-dependent mass

Cites Work

• Fractional calculus for scientists and engineers.
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Solution of Fractional Differential Equation in Terms of Distribution Theory
• On a Concept of Derivative of Complex Order with Applications to Special Functions
• Fractional Derivatives and Special Functions
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