Publication: The solutions of some riemann–liouville fractional integral equations
| dc.contributor.author | Karuna Kaewnimit | en_US |
| dc.contributor.author | Fongchan Wannalookkhee | en_US |
| dc.contributor.author | Kamsing Nonlaopon | en_US |
| dc.contributor.author | Somsak Orankitjaroen | en_US |
| dc.contributor.other | Khon Kaen University | en_US |
| dc.contributor.other | Mahidol University | en_US |
| dc.date.accessioned | 2022-08-04T08:56:27Z | |
| dc.date.available | 2022-08-04T08:56:27Z | |
| dc.date.issued | 2021-12-01 | en_US |
| dc.description.abstract | In this paper, we propose the solutions of nonhomogeneous fractional integral equations of the form I03σ y(t) ++ a · I02σ y(t) ++ b · I0σ y(t) ++ c · y(t) = f (t), where I0σ+ is the Riemann–Liouville fractional integral of order σ = 1/3, 1, f (t) = tn, tn et, n ∈ N ∪ {0}, t ∈ R+, and a, b, c are constants, by using the Laplace transform technique. We obtain solutions in the form of Mellin–Ross function and of exponential function. To illustrate our findings, some examples are exhibited. | en_US |
| dc.identifier.citation | Fractal and Fractional. Vol.5, No.4 (2021) | en_US |
| dc.identifier.doi | 10.3390/FRACTALFRACT5040154 | en_US |
| dc.identifier.issn | 25043110 | en_US |
| dc.identifier.other | 2-s2.0-85119839517 | en_US |
| dc.identifier.uri | https://repository.li.mahidol.ac.th/handle/123456789/77374 | |
| dc.rights | Mahidol University | en_US |
| dc.rights.holder | SCOPUS | en_US |
| dc.source.uri | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85119839517&origin=inward | en_US |
| dc.subject | Mathematics | en_US |
| dc.subject | Physics and Astronomy | en_US |
| dc.title | The solutions of some riemann–liouville fractional integral equations | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| mu.datasource.scopus | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85119839517&origin=inward | en_US |