BULLETIN
of the
POLISH ACADEMY of SCIENCES TECHNICAL SCIENCES |
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Volume
58, Issue 4, December 2010
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Aims&Scope, Subscription | Editors | Authors' guide | to read PDF files | mirror: http://fluid.ippt.gov.pl/~bulletin/ |
pp 573 - 581 |
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Existence - uniqueness result for a certain equation of motion in fractional mechanics |
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M. KLIMEK |
The eigenfunction equation of fractional variational operator including left and right derivative of order α is solved using the fixed point theorem. Its exact and approximate solutions are studied in detail. The corresponding boundary conditions are derived by means of the composition rules of fractional operators and the theorem on a unique particular solution of the considered fractional differential equation is proved |
Key words: |
fractional derivative, fractional differential equation, Euler-Lagrange equation, fixed point theorem, approximate solution |
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Issue Index | Authors Index | Scope Index | Web Info |
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Aims&Scope, Subscription | Editors | Authors' guide | to read PDF files |
Copyright ® Bulletin of the Polish Academy of Sciences: Technical Sciences |
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