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@article{1838218,
author = {Morales Macias, Maria Guadalupe and Došlá, Zuzana},
article_number = {4},
doi = {http://dx.doi.org/10.1216/jie.2021.33.497},
keywords = {weighted Cauchy problem; unweighted Cauchy problem; Volterra integral equation; fractional differential equations; Riemann–Liouville fractional derivative; Lipschitz operator},
language = {eng},
issn = {0897-3962},
journal = {Journal of Integral Equations and Applications},
title = {Weighted Cauchy problem: fractional versus integer order},
url = {https://doi.org/jie.2021.33-4},
volume = {33},
year = {2021}
}
TY - JOUR
ID - 1838218
AU - Morales Macias, Maria Guadalupe - Došlá, Zuzana
PY - 2021
TI - Weighted Cauchy problem: fractional versus integer order
JF - Journal of Integral Equations and Applications
VL - 33
IS - 4
SP - 497-509
EP - 497-509
PB - Rocky Mountain Mathematics Consortium
SN - 08973962
KW - weighted Cauchy problem
KW - unweighted Cauchy problem
KW - Volterra integral equation
KW - fractional differential equations
KW - Riemann–Liouville fractional derivative
KW - Lipschitz operator
UR - https://doi.org/jie.2021.33-4
N2 - This work is devoted to the solvability of the weighted Cauchy problem for fractional differential equations of arbitrary order, considering the Riemann–Liouville derivative. We show the equivalence between the weighted Cauchy problem and the Volterra integral equation in the space of Lebesgue integrable functions. Finally, we point out some discrepancies between the solutions for fractional and integer order case.
ER -
MORALES MACIAS, Maria Guadalupe a Zuzana DOŠLÁ. Weighted Cauchy problem: fractional versus integer order. \textit{Journal of Integral Equations and Applications}. Rocky Mountain Mathematics Consortium, 2021, roč.~33, č.~4, s.~497-509. ISSN~0897-3962. Dostupné z: https://dx.doi.org/10.1216/jie.2021.33.497.
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