Solving Fractional Order Differential Problems using Fuzzy Transform
Abstract
Keywords
Full Text:
PDFReferences
Abu-Saman A, El-Zerii H, Numerical Solution of initial value problems using Fuzzy Transform, International Journal of Applied Engineering Research, To Appear.
Achar B.N.N., Hanneken J. W., Enck T., and Clarke T., Dynamics of the fractional oscillator, Physica A 297, 2001, pp 361-367.
Chen G., Tat Pham T., Introduction to fuzzy set, fuzzy logic, and fuzzy control system, CRC, 2000.
Dankova M. and Valasek R., Full fuzzy transform and the problem of image fusion, Journal of Electrical Engineering, vol. 57, 2006, pp 82-84.
Deng Z., Singh V. P., Bengtsson L., Numerical solution of fractional advection-dispersion equation, J. Hydraulic Eng., vol. 130, 2004, pp 422-431.
Diethelm K., Freed A, Modeling and simulating viscoelastic and viscoplastic materials using nonlinear, fractional-order differential equations, submitted for publications, 2007.
Liu F., Ahn V., Turner I., Numerical solution of the space fractional Fokker-Planck equation, J. Comput. Appl. Math.,vol. 166, 2004, pp209-219.
Meerschaert M. M., The fractional calculus Project, MAA Student Lecture, Phoenix, January, 2004.
Patane G., Fuzzy transform and least-squares approximation, Elsevier, 2010.
Perfilieva I., Fuzzy transforms in image compressions and fusion , Acta Mathematica Universitatis Ostraviensis, vol 15, no.1, 2007, PP 27-37.
Perfilieva I., and Hodakova P., Fuzzy and Fourier Transforms, EUSFLAT-LFA, 2011, PP 452-456.
Perfilieva I., and Valasek R., Data compression on the basis of fuzzy transform, EUSFLAT-LFA conference, 2005, pp 663-668.
Perfilieva I., Novak V., Dvorak A., Fuzzy transform in the analysis of data, International Journal of Approximate Reasoning, vol 48, 2008, pp 36-46.
Perfilieva I., Fuzzy transforms and universal approximation, EUSFLAT conference, 2003, pp 529-533.
Perfilieva I., Approximating models based on fuzzy transforms, EUSFLAT-LFA conference, 2005, pp 645-650.
Podlubny I., Fractional differential equations, Academic Press, 1999.
Samko S.G., Kilbas A. A. and Marichev O.I., Fractional integrals and derivatives theory and applications, Gordon and Breach Science Publishers, 1993.
Stefanini L., Fuzzy transform and smooth functions, IFSA-EUSFLAT, 2009, PP579-584
Stepnicka M. and Valasek R., Fuzzy transform and their application to wave equation, Journal of Electrical Engineering , vol. 12, 2004, pp 7-10.
Stepnika M., Fuzzy transform and its applications to problems in engineering practice, PH.D. Thesis "Ostrava Uni.", 2007.
Tadjeran C., Meerschaert M. and Scheffler H., A second-order accurate numerical approximataion for the fractional diffusion equation, Journal of Computational Physics,vol. 213, 2006, pp 205-213.
Tadjeran C., Meerschaert M. and Scheffler H., Finite difference methods for two-dimensional fractional dispersion equation, Journal of Computational Physics, vol. 211, 2006, pp 249-261.
Zadah L., Fuzzy set theory, Information and control 8th, 1965, pp 338-353.
DOI: http://dx.doi.org/10.26713%2Fjims.v7i3.312
eISSN 0975-5748; pISSN 0974-875X
