Approximate solution of fractional integro-differential equation by Taylor expansion and Legendre wavelets methods

• M.H Saleh ^[1] ; S.M Amer ^[1] ; M.A Mohamed ^[1] ; N.S Abdelrhman ^[1]
  1. [1] Suez Canal University

     Suez Canal University

     Egipto

     
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 15, Nº. 3, 2013, págs. 89-104
• Idioma: inglés
• DOI: 10.4067/S0719-06462013000300009
• Enlaces
  • Texto completo
• Resumen
  • español

    Este artículo considera la solución aproximada de ecuaciones integro-diferenciales fraccionales

  • English

    This paper, deals with the approximate solution of fractional integro-differential equations of the type

• Referencias bibliográficas
  • Arikoglu, A,ozkol, I. (2009). Solution of Fractional Integro-Differential Equation by Using Fractional Differential Transform method. Chaos...
  • Elliott, D. (1993). An Asymptotic Analysis of Two Algorithms for Certain Hadamard Finite Part Integrals. IMA J. Numer . Anal. 13. 445-462
  • Rawashdeh, E.A. (2006). Numerical Solution of Fractional Integro-Differential Equations by Collocation Method. Applied Mathematics and Computation....
  • Rawashdeh, E. A. (2011). Legendre Wavelets Method for Fractional Integro-Differential Equations. Dhofar University.
  • Podlubny, I. (1999). Fractional Differential Equations. Academic Press. San Diego.
  • Diethelm, K. (1997). An Algorithm for The Numerical Solution of Differential Equations of Fractional Order. Electronic Trans .Num . Ana. 5....
  • Miller, K,Ross, B. (1993). An Introduction to the Fractional Calculus and Fractional Differential. Wiley. ^eNew York New York.
  • Huang, Li,Li, Xian-Fang,Zhao, Yulin,Duan, Xian-Yang. (2011). Approximate Solution of Fractional Integro-Differential Equations by Taylor Expansion...
  • Rashed, M. T. (2003). Numerical Solution of A Special Type of Integro-Differential Equations. Appl. Math . Compute. 143. 73-88
  • Samko, S. G,Kilbas, A.A,Marichev, O . I. (1993). Fractional Integrals and Derivatives. Gordan and Breach Science Publishers. Yverdon^eNew...
  • Momani, S,Qaralleh, R. (2006). An Efficient Method for Solving System of Fractional Integro-Differential Equation. Computers Mathmatics with...
  • Ray, S.S,Bera, R.K. (2005). Analytical Solution of The Bagley Torvik Equation by Adomain Decomposition Method. Appl . Math . comput. 168....