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

Banach Center Publications (2011)

- Volume: 95, Issue: 1, page 325-338
- ISSN: 0137-6934

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topMałgorzata 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 -

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