TY - JOUR
T1 - Well-posedness and numerical approximation of tempered fractional terminal value problems
AU - Morgado, Maria Luísa
AU - Rebelo, Magda
N1 - Sem PDF.
FCT "Fundacao para a Ciencia e a Tecnologia (Portuguese Foundation for Science and Technology)" (UID/MAT/00013/2013; UID/MAT/00297/2013)
PY - 2017/10
Y1 - 2017/10
N2 - For a class of tempered fractional terminal value problems of the Caputo type, we study the existence and uniqueness of the solution, analyze the continuous dependence on the given data, and using a shooting method we present and discuss three numerical schemes for the numerical approximation of such problems. Some numerical examples are considered in order to illustrate the theoretical results and evidence the efficiency of the numerical methods.
AB - For a class of tempered fractional terminal value problems of the Caputo type, we study the existence and uniqueness of the solution, analyze the continuous dependence on the given data, and using a shooting method we present and discuss three numerical schemes for the numerical approximation of such problems. Some numerical examples are considered in order to illustrate the theoretical results and evidence the efficiency of the numerical methods.
KW - Caputo Derivative
KW - numerical methods
KW - shooting method
KW - tempered fractional derivatives
KW - terminal value problem
UR - http://www.scopus.com/inward/record.url?scp=85034095282&partnerID=8YFLogxK
U2 - 10.1515/fca-2017-0065
DO - 10.1515/fca-2017-0065
M3 - Review article
AN - SCOPUS:85034095282
SN - 1311-0454
VL - 20
SP - 1239
EP - 1262
JO - Fractional Calculus and Applied Analysis
JF - Fractional Calculus and Applied Analysis
IS - 5
ER -