Existence and nonexistence results for a class of fractional boundary value problems

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

“…As it has been stated in Sun and Zhao (2014), Zhang (2014), Cabada and Hamdi (2014), Zhao, Chai and Ge (2013), and Jiang and Zhong (2014), this type of conditions appear in different real phenomena, e.g., blood flow problems, chemical engineering, thermoelasticity and population dynamics.…”

Existence of Positive Solutions to Semipositone Fractional Differential Equations

“…In [3], the authors obtained the Green function associated with the problem (1). More precisely, the authors proved the following lemma.…”

Positive solutions for fractional differential equation involving the Riemann-Stieltjes integral conditions with two parameters

“…Due to the wide application of fractional order differential equations, there are many studies which focus on the solvability of fractional differential equations. For some recent results on this topic, see [1,4,6,7,9,11,12,14,15] and the references therein. El-Shahed [3] considered the following fractional order differential equation…”

“…With the same equation as (P λ, µ ), n = 3, and the boundary conditions become [15] obtained the existence results of positive solutions by using the standard tools of the Krasnosel'skii fixed point theorem when the parameter λ lies in some intervals.…”