2014
DOI: 10.1016/j.amc.2014.02.062
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The eigenvalue for a class of singular p-Laplacian fractional differential equations involving the Riemann–Stieltjes integral boundary condition

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Cited by 87 publications
(48 citation statements)
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“…In [17], Zhang et al studied the integral BVP of fractional differential equations with parameter and p-Laplacian operator Motivated by the papers mentioned above, in this paper, we study the p-Laplacian fractional differential equation three-point BVP (1.1). The existence of positive solution is obtained by using the upper and lower solutions method and a fixed point theorem.…”
Section: Introductionmentioning
confidence: 99%
“…In [17], Zhang et al studied the integral BVP of fractional differential equations with parameter and p-Laplacian operator Motivated by the papers mentioned above, in this paper, we study the p-Laplacian fractional differential equation three-point BVP (1.1). The existence of positive solution is obtained by using the upper and lower solutions method and a fixed point theorem.…”
Section: Introductionmentioning
confidence: 99%
“…Fractional differential equations (FDE) serve as an excellent instrument for the description of memory and hereditary properties of various materials and processes. Recently, much attention has been paid to the study of boundary value problems (BVP) of fractional differential equation, such as the singular BVP [17,21,33,34], nonlocal BVP [2,5,20,24], semipositone BVP [19,22,23] and resonant BVP [3,4,18,32].…”
Section: Introductionmentioning
confidence: 99%
“…The study of differential equations with p-Laplacian operator was initiated by many authors, one may see [1]- [8], [11], [12]- [14] and references therein.…”
Section: Introductionmentioning
confidence: 99%
“…Chen et al [3] showed the existence solutions by coincidence degree for the Caputo fractional p-Laplacian equations: Zhang et al [14] discussed the eigenvalue problem for a class of singular p-Laplacian fractional differential equations involving the Riemann-Stieltjes integral boundary conditions…”
Section: Introductionmentioning
confidence: 99%