Kaihong Zhao, Ping Gong, "Existence and Nonexistence of Positive Solutions for a Singular Higher-Order Nonlinear Fractional Differential Equation," WSEAS Transactions on Mathematics, vol. 14, pp. 87-96, 2015, DOI:
Kaihong Zhao, Ping Gong. Existence and Nonexistence of Positive Solutions for a Singular Higher-Order Nonlinear Fractional Differential Equation.
WSEAS Transactions on Mathematics. 2015;14:87-96.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 14, 2015
Existence and Nonexistence of Positive Solutions for a Singular Higher-Order Nonlinear Fractional Differential Equation
Authors: ,
Abstract: In this paper, we establish some sufficient conditions for the existence and nonexstence of positive solutions to a general class of higher-order nonlinear fractional differential equation. The results are established by converting the problem into an equivalent integral equation and applying Banach fixed point theorem, nonlinear differentiation of Leray-Schauder type and the fixed point theorems of cone expansion and compression of norm type. As applications, some examples are also provided to illustrate our main results.
Keywords:
Fractional differential equations, Positive solutions, Boundary value problems, Fixed point theorem
Pages: 87-96 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 14, 2015, Art. #9 DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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