We introduce fractional sum and difference operators, study their behavior and develop a complete theory governing their compositions.This theory is then applied to solve a general, fractional initial value problem. RESUMENIntroducimos operadores de suma y diferencia fraccionaria, estudiamos su comportamiento y desarrollamos una teora completa que rige sus composiciones.Aplicamos esta teoría para resolver un problema fraccionado de valor inicial.
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Michael Holm (2011) studied this question.
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