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Liu, B. and Liu, Y. (2013) Positive Solutions of a Two-Point Boundary Value Problem for Singular Fractional Differential Equations in Banach Space. Journal of Function Spaces and Applications, 2013, Article 585639.
https://doi.org/10.1155/2013/585639

has been cited by the following article:

• TITLE: Multiple Solutions for a Class of Singular Boundary Value Problems of Hadamard Fractional Differential Systems with p-Laplacian Operator

  AUTHORS: Chen Wang, Yansheng Liu

  KEYWORDS: Multiple Solutions, Fixed Point Index Theory, Nonlinear Fractional Differential Systems, Hadamard Fractional Derivative

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.12 No.9, September 20, 2024

  ABSTRACT: This paper discusses the existence and multiplicity of positive solutions for a class of singular boundary value problems of Hadamard fractional differential systems involving the p-Laplacian operator. First, for the sake of overcoming the singularity, sequences of approximate solutions to the boundary value problem are obtained by applying the fixed point index theory on the cone. Next, it is demonstrated that these sequences of approximate solutions are uniformly bounded and equicontinuous. The main results are then established through the Ascoli-Arzelà theorem. Ultimately, an instance is worked out to test and verify the validity of the main results.