On contraction principle applied to nonlinear fractional differential equations with derivatives of order α ∈ (0,1)

Małgorzata Klimek. "On contraction principle applied to nonlinear fractional differential equations with derivatives of order α ∈ (0,1)." Banach Center Publications 95.1 (2011): 325-338. <http://eudml.org/doc/282401>.

@article{MałgorzataKlimek2011,
abstract = {One-term and multi-term fractional differential equations with a basic derivative of order α ∈ (0,1) are solved. The existence and uniqueness of the solution is proved by using the fixed point theorem and the equivalent norms designed for a given value of parameters and function space. The explicit form of the solution obeying the set of initial conditions is given.},
author = {Małgorzata Klimek},
journal = {Banach Center Publications},
keywords = {fractional differential equation; fractional derivative; fixed point theorem; equivalent norms},
language = {eng},
number = {1},
pages = {325-338},
title = {On contraction principle applied to nonlinear fractional differential equations with derivatives of order α ∈ (0,1)},
url = {http://eudml.org/doc/282401},
volume = {95},
year = {2011},
}

TY - JOUR
AU - Małgorzata Klimek
TI - On contraction principle applied to nonlinear fractional differential equations with derivatives of order α ∈ (0,1)
JO - Banach Center Publications
PY - 2011
VL - 95
IS - 1
SP - 325
EP - 338
AB - One-term and multi-term fractional differential equations with a basic derivative of order α ∈ (0,1) are solved. The existence and uniqueness of the solution is proved by using the fixed point theorem and the equivalent norms designed for a given value of parameters and function space. The explicit form of the solution obeying the set of initial conditions is given.
LA - eng
KW - fractional differential equation; fractional derivative; fixed point theorem; equivalent norms
UR - http://eudml.org/doc/282401
ER -