Cauchy problem with Denjoy-Stieltjes integral

María Guadalupe Morales Macías

Mathematica Bohemica (2024)

  • Volume: 149, Issue: 4, page 471-490
  • ISSN: 0862-7959

Abstract

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This work is devoted to analyzing the existence of the Cauchy fractional-type problems considering the Riemann-Liouville derivative (in the distributional Denjoy integral sense) of real order n ≥ 1 . These kinds of equations are a generalization of the measure differential equations. Our results extend A. A. Kilbas, H. M. Srivastava, J. J. Trujillo (2006) and H. Zhou, G. Ye, W. Liu, O. Wang (2015).

How to cite

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Morales Macías, María Guadalupe. "Cauchy problem with Denjoy-Stieltjes integral." Mathematica Bohemica 149.4 (2024): 471-490. <http://eudml.org/doc/299610>.

@article{MoralesMacías2024,
abstract = {This work is devoted to analyzing the existence of the Cauchy fractional-type problems considering the Riemann-Liouville derivative (in the distributional Denjoy integral sense) of real order $n\ge 1$. These kinds of equations are a generalization of the measure differential equations. Our results extend A. A. Kilbas, H. M. Srivastava, J. J. Trujillo (2006) and H. Zhou, G. Ye, W. Liu, O. Wang (2015).},
author = {Morales Macías, María Guadalupe},
journal = {Mathematica Bohemica},
keywords = {fractional measure differential equation; Cauchy problem; Riemann-Liouville fractional integral and derivative; distributional Denjoy integral},
language = {eng},
number = {4},
pages = {471-490},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Cauchy problem with Denjoy-Stieltjes integral},
url = {http://eudml.org/doc/299610},
volume = {149},
year = {2024},
}

TY - JOUR
AU - Morales Macías, María Guadalupe
TI - Cauchy problem with Denjoy-Stieltjes integral
JO - Mathematica Bohemica
PY - 2024
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 149
IS - 4
SP - 471
EP - 490
AB - This work is devoted to analyzing the existence of the Cauchy fractional-type problems considering the Riemann-Liouville derivative (in the distributional Denjoy integral sense) of real order $n\ge 1$. These kinds of equations are a generalization of the measure differential equations. Our results extend A. A. Kilbas, H. M. Srivastava, J. J. Trujillo (2006) and H. Zhou, G. Ye, W. Liu, O. Wang (2015).
LA - eng
KW - fractional measure differential equation; Cauchy problem; Riemann-Liouville fractional integral and derivative; distributional Denjoy integral
UR - http://eudml.org/doc/299610
ER -

References

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