Publications

@article{Amairi20102162b,

title = {A constant enclosure method for validating existence and uniqueness of the solution of an initial value problem for a fractional differential equation},

author = {M. Amairi and M. Aoun and S. Najar and M. N. Abdelkrim},

url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-77957308442\&doi=10.1016%2fj.amc.2010.07.015\&partnerID=40\&md5=a58a0a9b4b825b67caa7c949631264c1},

doi = {10.1016/j.amc.2010.07.015},

year  = {2010},

date = {2010-01-01},

journal = {Applied Mathematics and Computation},

volume = {217},

number = {5},

pages = {2162 \textendash 2168},

abstract = {This paper presents a new method for validating existence and uniqueness of the solution of an initial value problems for fractional differential equations. An algorithm selecting a stepsize and computing a priori constant enclosure of the solution is proposed. Several illustrative examples, with linear and nonlinear fractional differential equations, are given to demonstrate the effectiveness of the method. © 2010 Elsevier Inc. All rights reserved.},

note = {Cited by: 18},

keywords = {Caputo fractional derivatives, Differential equations, Enclosures, Existence and uniqueness, Fractional order, Initial value problems, Initial values, Interval analysis, Nonlinear equations, Validated computing},

pubstate = {published},

tppubtype = {article}

}