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math.NA2022
A spectral approach to non-linear weakly singular fractional integro-differential equations
Amin Faghih, Magda Rebelo
In this work, a class of non-linear weakly singular fractional integro-differential equations is considered, and we first prove existence, uniqueness, and smoothness properties of…
math.NA2017
Well-posedness and numerical approximation of tempered fractional terminal value problems
Luisa Morgado, Magda Rebelo
For a class of tempered fractional terminal value problems of the Caputo type, we study the existence and uniqueness of the solution, analyse the continuous dependence on the given…