Abstract
We establish necessary conditions to obtain oscillatory solutions for some classes of the Prahbakar-type and Atangana–Baleanu fractional integro-differential operators. Illustrative examples are also given. The obtained results extend the previous developments in the field from our recent paper.
| Original language | English |
|---|---|
| Pages (from-to) | 7262-7274 |
| Number of pages | 13 |
| Journal | Mathematical Methods in the Applied Sciences |
| Volume | 44 |
| Issue number | 8 |
| DOIs | |
| Publication status | Accepted/In press - 2021 |
Funding
This research was funded by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (Grant No. AP09058317). The authors were also supported by the Nazarbayev University Program 091019CRP2120. Joel E. Restrepo thanks Colciencias and Universidad de Antioquia (Convocatoria 848—Programa de estancias postdoctorales 2019) for their support. This research was funded by the Science Committee of the Ministry of Education and Science of the Republic of Kazakhstan (Grant No. AP09058317). The authors were also supported by the Nazarbayev University Program 091019CRP2120. Joel E. Restrepo thanks Colciencias and Universidad de Antioquia (Convocatoria 848?Programa de estancias postdoctorales 2019) for their support.
Keywords
- Atangana–Baleanu operator
- fractional differential equation
- fractional integro-differential operator
- oscillatory solution
- Prahbakar operator
ASJC Scopus subject areas
- General Mathematics
- General Engineering