35 research outputs found
Positive solutions for fractional differential equations with three-point multi-term fractional integral boundary conditions
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Boundary value problems for fractional difference equations with three-point fractional sum boundary conditions
Get PDFOn fractional differential equations and inclusions with nonlocal and average-valued (integral) boundary conditions
Get PDFExistence and nonexistence of positive solutions for fractional integral boundary value problem with two disturbance parameters
Get PDFSolutions to impulsive integrodifferential evolution equations under a noncompact evolution system
Get PDFOscillating global continua of positive solutions of second order Neumann problem with a set-valued term
Get PDFEigenvalue Problems for Systems of Nonlinear Boundary Value Problems on Time Scales
No full text<p/> <p>Values of <it>λ</it> are determined for which there exist positive solutions of the system of dynamic equations, <inline-formula><graphic file="1687-1847-2007-031640-i1.gif"/></inline-formula>, <inline-formula><graphic file="1687-1847-2007-031640-i2.gif"/></inline-formula>, for <inline-formula><graphic file="1687-1847-2007-031640-i3.gif"/></inline-formula>, satisfying the boundary conditions, <inline-formula><graphic file="1687-1847-2007-031640-i4.gif"/></inline-formula>, where <inline-formula><graphic file="1687-1847-2007-031640-i5.gif"/></inline-formula> is a time scale. A Guo-Krasnosel'skii fixed point-theorem is applied.</p
Positive solutions of the three-point boundary value problem for fractional-order differential equations with an advanced argument
No full textAbstract In this article, we consider the existence of at least one positive solution to the three-point boundary value problem for nonlinear fractional-order differential equation with an advanced argument where 2 < α ≤ 3, 0 < η < 1, , CDα is the Caputo fractional derivative. Using the well-known Guo-Krasnoselskii fixed point theorem, sufficient conditions for the existence of at least one positive solution are established. MSC (2010): 34A08; 34B18; 34K37.</p
