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For a class of tempered fractional terminal value problems of the Caputotype, we study the existence and uniqueness of the solution, analyse thecontinuous dependence on the given data and using a shooting method, we presentand discuss three numerical schemes for the numerical approximation of suchproblems. Some numerical examples are considered in order to illustrate thetheoretical results and evidence the efficiency of the numerical methods.

Well-posedness and numerical approximation of tempered fractional terminal value problems