Existence and Uniqueness of Positive Solutions for a Class of Nonlinear Fractional Differential Equations with Singular Boundary Value Conditions

Yan Debao

Mathematical Problems in Engineering, 2021, vol. 2021, 1-11

Abstract:

This paper focuses on a singular boundary value (SBV) problem of nonlinear fractional differential (NFD) equation defined as follows: , , where is the standard Riemann–Liouville fractional (RLF) derivative. The nonlinear function might be singular on the spatial and temporal variables. This paper proves that a positive solution to the SBV problem exists and is unique, taking advantage of Green’s function through a fixed-point (FP) theory on cones and mixed monotone operators.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:6692620

DOI: 10.1155/2021/6692620

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