State space solution of implicit fractional continuous time systems

DOI10.2478/s13540-012-0026-zzbMath1281.34007OpenAlexW1988405450MaRDI QIDQ2849827

Paul Van Dooren, Djillali Bouagada

Publication date: 19 September 2013

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

Full work available at URL: https://doi.org/10.2478/s13540-012-0026-z

zbMATH Keywords

Laplace transformsingular systemfractional system

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Laplace transform (44A10) Fractional ordinary differential equations (34A08)

Related Items (5)

Solution of state-space singular continuous-time fractional linear systems using Sumudu transform ⋮ On the solutions of fractional Swift Hohenberg equation with dispersion ⋮ General solution of two-dimensional singular fractional linear continuous-time system using the conformable derivative and Sumudu transform ⋮ Unnamed Item ⋮ State space solution of implicit fractional continuous time systems

Cites Work

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• Selected problems of fractional systems theory.
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• State space solution of implicit fractional continuous time systems
• Fractional Positive Continuous-Time Linear Systems and Their Reachability
• Descriptor systems: Decomposition into forward and backward subsystems
• Advances in Fractional Calculus

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