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Zhang, Shuqin

The existence of a positive solution for a nonlinear fractional differential equation. (English) Zbl 0972.34004

J. Math. Anal. Appl. 252, No. 2, 804-812 (2000).
Summary: The author proves existence and uniqueness theorems on a nonlinear fractional differential equation.

Cited in 151 Documents

MSC:

34A25 Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc.
26A33 Fractional derivatives and integrals
34A34 Nonlinear ordinary differential equations and systems

Keywords:

existence; positive solution; nonlinear fractional differential equation
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\textit{S. Zhang}, J. Math. Anal. Appl. 252, No. 2, 804--812 (2000; Zbl 0972.34004)
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References:

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[3] Ling, Y; Ding, S, A class of analytic functions defined by fractional derivative, J. math. anal. appl., 186, 504-513, (1994) · Zbl 0813.30016
[4] Delbosco, D; Rodino, L, Existence and uniqueness for a nonlinear fractional differential equation, J. math. anal. appl., 204, 609-625, (1996) · Zbl 0881.34005
[5] Zhong, Chengkui; Fan, Xianlin; Chen, Wenyuan, Nonlinear functional analysis and its application, (1998), Lan Zhou Univ. Press
[6] Li, Fuyi; Fen, Jinfeng; Shen, Penlong, The fixed point theorem and application for some decreasing operator, J. math., 42, 193-196, (1996)
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This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.