Existence and viability for fractional differential equations with initial conditions at inner points
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Authors
Qixiang Dong
- School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, P. R. China.
Abstract
This paper is concerned with nonlinear fractional differential equations with the Caputo derivative.
Existence results are obtained for terminal value problems and initial value problems with initial conditions
at inner points. It is also proved that the sufficient condition in order that a locally closed subset be a viable
domain is the tangency condition. As a corollary, the existence of positive solutions is obtained.
Share and Cite
ISRP Style
Qixiang Dong, Existence and viability for fractional differential equations with initial conditions at inner points, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 5, 2590--2603
AMA Style
Dong Qixiang, Existence and viability for fractional differential equations with initial conditions at inner points. J. Nonlinear Sci. Appl. (2016); 9(5):2590--2603
Chicago/Turabian Style
Dong, Qixiang. "Existence and viability for fractional differential equations with initial conditions at inner points." Journal of Nonlinear Sciences and Applications, 9, no. 5 (2016): 2590--2603
Keywords
- Fractional derivative
- differential equation
- initial value problem
- viability
- tangency condition.
MSC
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