Existence of Solutions for Nonlocal Boundary Value Problems of Higher-Order Nonlinear Fractional Differential Equations
Open Access
- 7 July 2009
- journal article
- research article
- Published by Hindawi Limited in Abstract and Applied Analysis
- Vol. 2009, 1-9
- https://doi.org/10.1155/2009/494720
Abstract
We study some existence results in a Banach space for a nonlocal boundary value problem involving a nonlinear differential equation of fractional order given by , , , , , , , . Our results are based on the contraction mapping principle and Krasnoselskii's fixed point theorem.Keywords
Funding Information
- Fonds européen de développement régional (MTM2007-61724, PGIDIT06PXIB207023PR)
This publication has 17 references indexed in Scilit:
- Some new existence results for fractional differential inclusions with boundary conditionsMathematical and Computer Modelling, 2009
- Existence Results for Nonlinear Boundary Value Problems of Fractional Integrodifferential Equations with Integral Boundary ConditionsBoundary Value Problems, 2009
- Almost automorphic mild solutions to fractional differential equationsNonlinear Analysis, 2008
- Mathematical modeling of time fractional reaction–diffusion systemsJournal of Computational and Applied Mathematics, 2008
- Subordination and superordination for univalent solutions for fractional differential equationsJournal of Mathematical Analysis and Applications, 2008
- Boundary value problems for multi-term fractional differential equationsJournal of Mathematical Analysis and Applications, 2008
- Fractional order adaptive high-gain controllers for a class of linear systemsCommunications in Nonlinear Science and Numerical Simulation, 2008
- On the solution of the fractional nonlinear Schrödinger equationPhysics Letters A, 2008
- Fractional differential equations as alternative models to nonlinear differential equationsApplied Mathematics and Computation, 2007
- Finite time stability analysis of PDα fractional control of robotic time-delay systemsMechanics Research Communications, 2006