Abstract
The goal of this work is to derive a new type of fractional system that arises from the combination of the Caputo-Hadamard derivative with the integro-differential equation. Also, the existence and uniqueness of solutions to this problem have been studied under nonlocal boundary conditions. Moreover, Hyer-Ulam stability has been studied for the considered problem. Finally, to reinforce the theoretical results and provide applications for our paper, two supporting examples have been emphasized.
Original language | English |
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Article number | 025207 |
Journal | Physica Scripta |
Volume | 99 |
Issue number | 2 |
DOIs | |
Publication status | Published - 1 Feb 2024 |
Externally published | Yes |
Keywords
- Caputo-Hadamard derivative
- Hadamard fractional integral
- fixed point
- stability result