Monotone Iterative Method for a Class of Nonlinear Fractional Differential Equations
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Date
2012
Journal Title
Journal ISSN
Volume Title
Publisher
Walter de Gruyter Gmbh
Open Access Color
Green Open Access
No
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Publicly Funded
No
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Impulse
Top 10%
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Top 10%
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Top 10%
Abstract
By applying the monotone iterative technique and the method of lower and upper solutions, this paper investigates the existence of extremal solutions for a class of nonlinear fractional differential equations, which involve the Riemann-Liouville fractional derivative D (q) x(t). A new comparison theorem is also build. At last, an example is given to illustrate our main results.
Description
Zhang, Lihong/0000-0002-3144-2237
ORCID
Keywords
Monotone Iterative Technique, Nonlinear Fractional Differential Equation, Comparison Theorem, Extremal Solutions, extremal solutions, monotone iterative technique, Fractional ordinary differential equations, Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations, comparison theorem, nonlinear fractional differential equation, Theoretical approximation of solutions to ordinary differential equations
Fields of Science
0101 mathematics, 01 natural sciences
Citation
Wang, Guotao; Baleanu, Dumitru; Zhang, Lihong, "Monotone iterative method for a class of nonlinear fractional differential equations", Fractional Calculus and Applied Analysis, Vol
WoS Q
Q1
Scopus Q
Q1
OpenCitations Citation Count
43
Source
Fractional Calculus and Applied Analysis
Volume
15
Issue
2
Start Page
244
End Page
252
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Citations
CrossRef : 38
Scopus : 52
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Mendeley Readers : 2
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