Abstract
We are concerned with the inverse problem of reconstructing a fractional integro-differential equation from a single observation of its solution at an arbitrary point. We first prove the global existence of solutions generated by suitable initial conditions. For the inverse problem, we reconstruct the unknown coefficients, along with the fractional order α and the memory kernel as well by using methods of function theory.
| Original language | English |
|---|---|
| Pages (from-to) | 3159-3166 |
| Number of pages | 8 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 44 |
| Issue number | 4 |
| DOIs | |
| State | Published - 15 Mar 2021 |
Bibliographical note
Publisher Copyright:© 2020 John Wiley & Sons, Ltd.
Keywords
- fractional differential equation
- inverse problem
- viscoelasticity
ASJC Scopus subject areas
- General Mathematics
- General Engineering
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