Adjoint fractional differential expressions and operators

2007 Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2007

Volumn 5 PART B, Issue , 2008, Pages 1385-1390

  Podlubny, Igor ^a   Chen, YangQuan ^b  

^a TECHNICAL UNIVERSITY OF KO ICE   (Slovakia)

^b Utah State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

(I ,J) CONDITIONS; ADJOINT; DIFFERENTIAL EXPRESSIONS; FRACTIONAL DERIVATIVES; FRACTIONAL DIFFERENTIAL EQUATIONS; INTERNATIONAL CONFERENCES; INTERNATIONAL DESIGNS; MULTI-BODY SYSTEM (MBS); NON-LINEAR DYNAMICS; TECHNICAL CONFERENCES;

ARCHITECTURAL DESIGN; BESSEL FUNCTIONS; BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; COMPUTER CONTROL; COMPUTER NETWORKS; COMPUTERS; CONTROL SYSTEMS; DIFFERENCE EQUATIONS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); DYNAMICS; ENGINEERING; INFORMATION SYSTEMS; MECHANICS; NONLINEAR PROGRAMMING; TECHNOLOGY;

DYNAMICAL SYSTEMS;

EID: 44849142733     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/DETC2007-35005     Document Type: Conference Paper

References (8)

1. Podlubny, I., 1999. Fractional Differential Equations. Academic Press, San Diego.
2. Caputo, M., 1967. "Linear model of dissipation whose q is almost frequency independent -ii". Geophys. J. R. Astr. Soc., 13, pp. 529-539.
3. Agrawal, O. P., 2006. "Fractional variational calculus and the transversality conditions". Journal of Physics A: Mathematical and General, 39, pp. 10375-10384.
4. Agrawal, O. P., 2006. "A formulation and a numerical scheme for fractional optimal". In FDA06 - Proceedings of the Second IFAC Workshop on Fractional Differentiation and Applications.
5. Samko, S. G., Kilbas, A. A., and Marichev, O. I., 1987. Fractional integrals and derivatives and some of their applications. Nauka i technika, Minsk.
6. Dzhrbashyan, M., and Nersesyan, A., 1968. "Drobnye proizvodnye i zadacha cauchy dlya differencial'nykh uravneniy drobnogo poryadka.". Izvestiya Akademii Nauk Armyanskoj SSR, ser. Matematika, 3(1), pp. 3-29.
7. Ervin, V. J., and Roop, J. P., 2006. "Variational formulation for the stationary fractional advection dispersion equation". Numerical Methods for Partial Differential Equations, 22, pp. 558-576.
8. Naimark, M. A., 1969. Lineynye differencial'nye operatory. Nauka, Moscow.