Abstract
In present study, we investigate the existence of solution for a multiterm fractional integro-differential system with special boundary conditions under some different conditions. In this way, we provide different results for the existence of solutions for the system and also for obtaining unique solution for the system under different conditions. We also present three numerical examples in which by using the Legendre multiwavelet method, we approximate solutions of the system. These examples illustrate our main results.
| Original language | English |
|---|---|
| Pages (from-to) | 2004-2020 |
| Number of pages | 17 |
| Journal | Turkish Journal of Mathematics |
| Volume | 44 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2020 |
Bibliographical note
Publisher Copyright:© This work is licensed under a Creative Commons Attribution 4.0 International License.
Funding
Research of the first and fourth authors were supported by Azarbaijan Shahid Madani University (Tabriz, Iran). Also, the authors wish to thank the referees for their valuable suggestions. The authors declare that the study was realized in collaboration with equal responsibility. All authors read and approved the final manuscript.
| Funders | Funder number |
|---|---|
| Azarbaijan Shahid Madani University |
Keywords
- Caputo derivation
- Legendre multiwavelet
- system of multiterm fractional integro-differential equations