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Existence of fractional differential equations. (English) Zbl 1088.34501
The authors obtain a sufficient condition for the existence of a solution to a fractional order differential equation. They claim that their result improves previously known results.

34A12 Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
26A33 Fractional derivatives and integrals
34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
Full Text: DOI
[1] El-Sayed, A.M.A., Fractional differential equations, Kyungpook math. J., 28, (1988) · Zbl 0709.34011
[2] El-Sayed, A.M.A., On the fractional differential equations, Appl. math. comput., 49, 205-213, (1992) · Zbl 0757.34005
[3] Delbosco, D.; Rodino, L., Existence and uniqueness for a nonlinear fractional differential equation, J. math. anal. appl., 204, 609-625, (1996) · Zbl 0881.34005
[4] Diethlm, K.; Ford, N.J., Analysis of fractional differential equations, J. math. anal. appl., 265, 229-248, (2002) · Zbl 1014.34003
[5] Hale, J.K., Theory of functional differential equations, (1977), Springer-Verlag New York · Zbl 0425.34048
[6] Srivastava, H.M.; Saxena, R.K., Operators of fractional integration and their applications, Appl. math. comput., 118, 1-52, (2001) · Zbl 1022.26012
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