Complex Grünwald-Letnikov, Liouville, Riemann-Liouville, and Caputo derivatives for analytic functions

DOI10.1016/j.cnsns.2011.02.022zbMath1221.30091OpenAlexW1966927227MaRDI QIDQ635690

Luis Rodríguez-Germá, Manuel D. Ortigueira, Juan J. Trujillo

Publication date: 23 August 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.02.022

zbMATH Keywords

Caputo derivativeRiemann-Liouville derivativeGrünwald-Letnikov derivative

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Miscellaneous topics of analysis in the complex plane (30E99)

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Cites Work

• Fractional derivatives in complex planes
• A coherent approach to non-integer order derivatives
• Operator of fractional derivative in the complex plane
• On a Concept of Derivative of Complex Order with Applications to Special Functions
• Fractional Derivatives and Special Functions
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