Sum and Difference Compositions in Discrete Fractional Calculus

• Michael Holm ^[1]
  1. [1] University of Nebraska–Lincoln

     University of Nebraska–Lincoln

     Estados Unidos

     
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 13, Nº. 3, 2011, págs. 153-184
• Idioma: inglés
• DOI: 10.4067/S0719-06462011000300009
• Enlaces
  • Texto completo
• Resumen
  • español

    Introducimos operadores de suma y diferencia fraccionaria, estudiamos su comportamiento y desarrollamos una teoria completa que rige sus composiciones. Aplicamos esta teoría para resolver un problema fraccionado de valor inicial.

  • English

    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.

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