Abstract
In this article, we study the existence of positive solutions of a multi-point boundary value problem for some system of fractional differential equations. The fixed point theorem on cones will be applied to demonstrate the existence of solutions for this system. At the end, an example shows the application of the main results.
Keywords: Fractional differential equation; Riemann–Liouville; positive solution; multi-point boundary value problem; cone
Received: 2012-12-18
Revised: 2014-4-11
Accepted: 2014-4-15
Published Online: 2014-10-21
Published in Print: 2014-12-1
© 2014 by De Gruyter
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Artikel in diesem Heft
- Frontmatter
- Existence of positive solutions for a class of fractional differential equation systems with multi-point boundary conditions
- Two-quadratic modules and cofibration category
- Solutions of integro-differential equations related to contact problems of viscoelasticity
- Some Tauberian conditions obtained through weighted generator sequences
- On improvements of Opial-type inequalities
- Connections between the iterated (anti)derivatives of es·x1/2 with respect to x and spherical modified Bessel functions of second kind
- Analysis and approximation of frictionless contact problems between two piezoelectric bodies with adhesion
- Maximal and Calderón–Zygmund operators in grand variable exponent Lebesgue spaces
- The stability of some generalization of the quadratic functional equation
- A stability result of a Timoshenko system in thermoelasticity of second sound with a delay term in the internal feedback
- An Ostrowski type inequality for derivatives of q-th power of s-convex functions via fractional integrals
- A new class of Tricomi–Legendre–Hermite and related polynomials
- A note on the norm convergence by Vilenkin–Fejér means
Schlagwörter für diesen Artikel
Fractional differential equation;
Riemann–Liouville;
positive solution;
multi-point boundary value problem;
cone
Artikel in diesem Heft
- Frontmatter
- Existence of positive solutions for a class of fractional differential equation systems with multi-point boundary conditions
- Two-quadratic modules and cofibration category
- Solutions of integro-differential equations related to contact problems of viscoelasticity
- Some Tauberian conditions obtained through weighted generator sequences
- On improvements of Opial-type inequalities
- Connections between the iterated (anti)derivatives of es·x1/2 with respect to x and spherical modified Bessel functions of second kind
- Analysis and approximation of frictionless contact problems between two piezoelectric bodies with adhesion
- Maximal and Calderón–Zygmund operators in grand variable exponent Lebesgue spaces
- The stability of some generalization of the quadratic functional equation
- A stability result of a Timoshenko system in thermoelasticity of second sound with a delay term in the internal feedback
- An Ostrowski type inequality for derivatives of q-th power of s-convex functions via fractional integrals
- A new class of Tricomi–Legendre–Hermite and related polynomials
- A note on the norm convergence by Vilenkin–Fejér means