On a class of differential equations with left and right fractional derivatives

We treat fractional order differential equations that contain left and right Riemann‐Liouville fractional derivatives. Such equations arise as the Euler‐Lagrange equation in variational principles with fractional derivatives. We find solutions of such equations or construct corresponding integral eq...

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Bibliographic Details
Published in:Zeitschrift für angewandte Mathematik und Mechanik 2007-07, Vol.87 (7), p.537-546
Main Authors: Atanackovic, T.M., Stankovic, B.
Format: Article
Language:English
Subjects:
Calculus of variations and optimal control
Exact sciences and technology
fractional differential equations
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Ordinary differential equations
Real functions
right and left Riemann-Liouville fractional derivative
Sciences and techniques of general use
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Summary:We treat fractional order differential equations that contain left and right Riemann‐Liouville fractional derivatives. Such equations arise as the Euler‐Lagrange equation in variational principles with fractional derivatives. We find solutions of such equations or construct corresponding integral equations.
ISSN:0044-2267
1521-4001
DOI:10.1002/zamm.200710335