On some abstract fractional integral equations with respect to functions and with time delays

Mahmoud M. El-Borai; Khairia El-Said El-Nadi; Randa Hamdy M. Ali

doi:10.1117/12.3011413

19 December 2023 On some abstract fractional integral equations with respect to functions and with time delays

Mahmoud M. El-Borai, Khairia El-Said El-Nadi, Randa Hamdy M. Ali

Proceedings Volume 12936, International Conference on Mathematical and Statistical Physics, Computational Science, Education and Communication (ICMSCE 2023); 129360Y (2023) https://doi.org/10.1117/12.3011413
Event: International Conference on Mathematical and Statistical Physics, Computational Science, Education and Communication (ICMSCE 2023), 2023, Istanbul, Turkey

Abstract

Abstract fractional integral equations are investigated with respect to functions and with time delays. Closed operators with strongly continuous semigroups in Banach space are considered. Existence and unique solutions of the considered integral equations are studied. Some smoothness properties with respect to the parameters of these delay fractional integral equations are given.

(2023) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Mahmoud M. El-Borai, Khairia El-Said El-Nadi, and Randa Hamdy M. Ali "On some abstract fractional integral equations with respect to functions and with time delays", Proc. SPIE 12936, International Conference on Mathematical and Statistical Physics, Computational Science, Education and Communication (ICMSCE 2023), 129360Y (19 December 2023); https://doi.org/10.1117/12.3011413

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