On the solution of nonlinear fractional order differential equation

Nonlinear Analysis, Theory, Methods and Applications

Volumn 63, Issue 5-7, 2005, Pages

  Yu, Cheng ^a   Gao, Guozhu ^a  

^a DONGHUA UNIVERSITY   (China)

Author keywords

Fractional calculus; Nonlinear differential equation; Uniqueness

Indexed keywords

NONLINEAR EQUATIONS; PROBLEM SOLVING; THEOREM PROVING;

FRACTIONAL CALCULUS; NONLINEAR DIFFERENTIAL EQUATION; UNIQUENESS;

DIFFERENTIAL EQUATIONS;

EID: 28044438186     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.na.2005.01.008     Document Type: Conference Paper

References (11)

1. M. Caputo Linear models of dissipation whose Q is almost frequency independent, II Geophys. J. Roy. Astrom. Soc. 13 1967 529 539
2. D. Delbosco, and L. Rodino Existence and uniqueness for a nonlinear fractional differential equation J. Anal. Math. Appl. 204 1996 609 625
3. K. Diethelm, and N.J. Ford Analysis of fractional differential equations J. Math. Anal. Appl. 265 2002 229 248
4. L. Gaul, P. Klein, and S. Kempfle Damping description involving fractional operators Mech. Systems Signal Process. 5 1991 81 88
5. W.G. Glockle, and T.F. Nonnenmacher A fractional calculus approach to self-similar protein dynamics Biophys. J. 68 1995 46 53
6. R. Gorenflo, and R. Rutman On ultraslow and intermediate processes P. Rusev I. Dimoveski V. Kiryakova Transform Methods and Special Functions, Sofia 1994 1995 Science Culture Technology Singapore 61 81
7. J.H. He Nonlinear oscillation with fractional derivative and its applications International Conference on Vibration Engineering'98 Dalian, China 1998 288 291
8. J.H. He Approximate analytical solution for seepage flow with fractional derivatives in porous media Comput. Methods Appl. Mech. Engrg. 167 1998 57 68
9. J.H. He Some applications of nonlinear fractional differential equations and their approximation Bull. Sci. Technol. 15 2 1999 86 90
10. A.M.A. H-sayed On the fractional differential equation Appl. Math. Comput. 49 1992 205 213
11. R. Metzler, W. Schick, H.-G. Kilian, and T.F. Nonnenmacher Relaxation in filled polymers a fractional calculus approach J. Chem. Phys. 103 1995 7180 7186