Karuna KaewnimitFongchan WannalookkheeKamsing NonlaoponSomsak OrankitjaroenKhon Kaen UniversityMahidol University2022-08-042022-08-042021-12-01Fractal and Fractional. Vol.5, No.4 (2021)250431102-s2.0-85119839517https://repository.li.mahidol.ac.th/handle/123456789/77374In 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.Mahidol UniversityMathematicsPhysics and AstronomyArticleSCOPUS10.3390/FRACTALFRACT5040154