Studies on BVPs for IFDEs involved with the Riemann-Liouville type fractional derivatives
Nonautonomous Dynamical Systems (2016)
- Volume: 3, Issue: 1, page 42-84
- ISSN: 2353-0626
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topYuji Liu. "Studies on BVPs for IFDEs involved with the Riemann-Liouville type fractional derivatives." Nonautonomous Dynamical Systems 3.1 (2016): 42-84. <http://eudml.org/doc/281248>.
@article{YujiLiu2016,
abstract = {In this article, we present a new method for converting the boundary value problems for impulsive fractional differential systems involved with the Riemann-Liouville type derivatives to integral systems, some existence results for solutions of a class of boundary value problems for nonlinear impulsive fractional differential systems at resonance case and non-resonance case are established respectively. Our analysis relies on the well known Schauder’s fixed point theorem and coincidence degree theory. Examples are given to illustrate main results. This paper is motivated by [Solvability of multi-point boundary value problem of nonlinear impulsive fractional differential equation at resonance, Electron. J. Qual. Theory Differ. Equ. 89(2011), 1-19], [Existence result for boundary value problem of nonlinear impulsive fractional differential equation at resonance, J, Appl, Math, Comput. 39(2012) 421-443] and [Solvability for a coupled system of fractional differential equations with impulses at resonance, Bound. Value Probl. 2013, 2013: 80].},
author = {Yuji Liu},
journal = {Nonautonomous Dynamical Systems},
keywords = {impulsive fractional differential system; boundary value problem; Schauder’s fixed point theorem; coincidence degree; Schauder's fixed point theorem},
language = {eng},
number = {1},
pages = {42-84},
title = {Studies on BVPs for IFDEs involved with the Riemann-Liouville type fractional derivatives},
url = {http://eudml.org/doc/281248},
volume = {3},
year = {2016},
}
TY - JOUR
AU - Yuji Liu
TI - Studies on BVPs for IFDEs involved with the Riemann-Liouville type fractional derivatives
JO - Nonautonomous Dynamical Systems
PY - 2016
VL - 3
IS - 1
SP - 42
EP - 84
AB - In this article, we present a new method for converting the boundary value problems for impulsive fractional differential systems involved with the Riemann-Liouville type derivatives to integral systems, some existence results for solutions of a class of boundary value problems for nonlinear impulsive fractional differential systems at resonance case and non-resonance case are established respectively. Our analysis relies on the well known Schauder’s fixed point theorem and coincidence degree theory. Examples are given to illustrate main results. This paper is motivated by [Solvability of multi-point boundary value problem of nonlinear impulsive fractional differential equation at resonance, Electron. J. Qual. Theory Differ. Equ. 89(2011), 1-19], [Existence result for boundary value problem of nonlinear impulsive fractional differential equation at resonance, J, Appl, Math, Comput. 39(2012) 421-443] and [Solvability for a coupled system of fractional differential equations with impulses at resonance, Bound. Value Probl. 2013, 2013: 80].
LA - eng
KW - impulsive fractional differential system; boundary value problem; Schauder’s fixed point theorem; coincidence degree; Schauder's fixed point theorem
UR - http://eudml.org/doc/281248
ER -
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