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arXiv · 2403.07823

Time-discretization method for a multi-term time fractional differential equation with delay

Areefa Khatoon·Abdur Raheem·Asma Afreen
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Abstract

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.

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Areefa Khatoon, Abdur Raheem, Asma Afreen. 2024-03-12. Time-discretization method for a multi-term time fractional differential equation with delay. https://arxiv.org/abs/2403.07823

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