Cauchy problem with Denjoy-Stieltjes integral

Morales Macías, María Guadalupe

Mathematica Bohemica, Tome 149 (2024) no. 4, pp. 471-490

Abstract (VO)

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).

Détail

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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