RT Journal Article
T1 Non-convolutional general fractional operators and some of their properties
A1 Al-Shdaifat, Hamza
A1 Rodríguez López, Rosana
K1 Generalized fractional integral
K1 Generalized fractional derivative
K1 Non-convolution kernel
AB In this work, we propose a general framework for fractional integrals without following a convolution-kernel approach, and consider the corresponding notions for fractional derivatives under different perspectives (Riemann–Liouville and Caputo-type), analyzing their main mathematical properties such as semi-group condition, and the linearity of the integral, as well as the first theorem of calculus. We study some connections between the different notions, and provide a generalized Sonin condition.
PB Elsevier
SN 0377-0427
YR 2025
FD 2025-08-15
LK https://hdl.handle.net/10347/43134
UL https://hdl.handle.net/10347/43134
LA eng
NO References  Al-Shdaifat, H., & Rodríguez-López, R. (2025). Non-convolutional general fractional operators and some of their properties. Journal of Computational and Applied Mathematics, 464, 116527. 10.1016/j.cam.2025.116527
NO This research was partially supported by the Agencia Estatal de Investigación (AEI) of Spain, project PID2020-113275GB-I00, cofinanced by the European Fund for Regional Development (FEDER) corresponding to the 2021–2024 multiyear financial framework, and ED431C 2023/12 (GRC Xunta de Galicia).
DS Minerva
RD 30 abr 2026