Time-discretization method for a multi-term time fractional differential equation with delay
<|reference_start|>Time-discretization method for a multi-term time fractional differential equation with delay: This paper discusses a multi-term time-fractional delay differential equation in a real Hilbert space. An iterative scheme for a multi-term time-fractional differential equation is established using Rothe's method. The method of semi-discretization is extended to this kind of time fractional problem with delay in the case that the time delay parameter $\nu >0$ satisfies $\nu\leq T$, where $T$ denotes the final time. We apply the accretivity of the operator $A$ in an iterative scheme to establish the existence and regularity of strong solutions to the considered problem. Finally, an example is provided to demonstrate the abstract result.<|reference_end|>
@article{khatoon2024time-discretization,
    title={Time-discretization method for a multi-term time fractional differential
  equation with delay},
    author={Areefa Khatoon, Abdur Raheem and Asma Afreen},
    journal={arXiv preprint arXiv:2403.07823},
    year={2024},
    archivePrefix={arXiv},
    eprint={2403.07823},
    primaryClass={math.NA cs.NA math.DS}
}