References

EXISTENCE AND UNIQUENESS OF SOLUTIONS TO NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH LIPSCHITZ CONTINUITY


[1] L. M. C. M. Campos, On the solution of some simple fractional differential equations, Inter. Math. Math. Sci. 13 (1990), 481-496.

[2] D. Delbosco, Fractional calculus and function spaces, J. Frac. Cal. 6 (1994), 45-53.

[3] D. Delbosco and Luigi Rodinou, Existence and uniqueness for a nonlinear fractional differential equation, J. Math. Anal. Appl. 204 (1996), 609-625.

[4] Kai Diethelm and Neville J. Ford, Analysis of fractional differential equations, J. Math. Anal. Appl. 265 (2002), 229-248.

[5] J. H. He, Nonlinear oscillation with fractional derivative and its applications, International Conference on Vibrating Engineering, Dalian, China, (1998), 288-291.

[6] J. H. He, Some applications of nonlinear fractional differential equations and their approximations, Bull. Sci. Tech. 15(2) (1999), 86-90.

[7] M. A. Krasnosel’skii, Topological Methods in the Theory of Nonlinear Integral Equations, Pergamon, Oxford, 1964.

[8] F. Mainardi, Fractional calculus: Some basic problems in continuum and statistical mechanics, A. Carpinteri and F. Mainardi (Eds.), Fractals and Fractional Calculus in Continuum Mechanics, Springer, Verlag, New York, (1997), 291-348.

[9] K. S. Miller and B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations, Wiley, New York, 1993.

[10] I. Podlubny, Fractional Differential Equations, Academic Press, New York, 1999.

[11] R. D. Small, Population growth in a closed model, Mathematical Modelling: Classroom Notes in Applied Mathematics, SIAM, Philadelphia, PA, 1989, SIAM Rev. 39(3) (1997), 484-493.