Positive solutions for eigenvalue problems of fractional differential equation with generalized p-Laplacian

The method of lower and upper solutions for the general boundary value problems of fractional differential equations with p-Laplacian

“…For studying this kind of problems, the models of the p-Laplacian equation are introduced, see [17]. Many important results for the boundary value problems of fractional p-Laplacian equations have been obtained, see [18][19][20][21][22][23][24][25][26][27][28] and the references therein.…”

Existence of Solutions for a Class of Coupled Fractional Differential Systems with Nonlocal Boundary Conditions

“…See [11][12][13][14][15][16] and references therein. For example, in [13], Su studied the following nonlinear coupled fractional differential systems: On the other hand, integral boundary conditions have various applications in applied fields such as chemical engineering, underground water flow, blood flow problems, thermoelasticity, population dynamics, and finite element method approaches with the minimization of constitutive error.…”

Existence and non-existence of positive solutions for integral boundary value problems of high-order fractional differential equations with generalised p-Laplacian operator

“…However, the results dealing with generalised p-Laplacian boundary value problems of fractional differential equations are relatively scarce (Chen and Chen, 2011;Han et al, 2012;Sen et al, 2013;Yao et al, 2013;Liu, 2012;Han, Lu and Zhang, 2015;.…”

“…Motivated by Sun and Zhao (2014) and Han, Lu and Zhang (2015) excellent results and the methods, in this paper, we investigate the existence and non-existence of positive solutions for integral boundary value problems of high-order fractional differential equations with generalised p-Laplacian operator…”

“…In 2015, Han, Lu and Zhang (2015) discussed the existence of positive solutions for the eigenvalue problem of non-linear fractional differential equation with generalised p-Laplacian…”