Geodesic
Cauchy problem with Denjoy-Stieltjes integral
Mathematica Bohemica, Tome 149 (2024) no. 4, pp. 471-490 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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 $n\geq 1$. 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).
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 $n\geq 1$. 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).
DOI : 10.21136/MB.2024.0072-22
Classification : 26A39, 26A42, 34A08, 34A12
Keywords: fractional measure differential equation; Cauchy problem; Riemann-Liouville fractional integral and derivative; distributional Denjoy integral 
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     title = {Cauchy problem with {Denjoy-Stieltjes} integral},
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Morales Macías, María Guadalupe. Cauchy problem with Denjoy-Stieltjes integral. Mathematica Bohemica, Tome 149 (2024) no. 4, pp. 471-490. doi: 10.21136/MB.2024.0072-22

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