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Fractional boundary value problems: Analysis and numerical methods

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Abstract

In this paper we consider nonlinear boundary value problems for differential equations of fractional order α, 0 < α < 1. We study the existence and uniqueness of the solution and extend existing published results. In the last part of the paper we study a class of prototype methods to determine their numerical solution.

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Authors and Affiliations

  1. Department of Mathematics, University of Chester, Parkgate Road, Chester, CH1 4BJ, UK

    Neville J. Ford

  2. CEMAT, IST, Lisbon and Department of Mathematics, University of Trás-os-Montes e Alto Douro, Quinta de Prados, 5001-801, Vila Real, Portugal

    M. Luísa Morgado

Authors
  1. Neville J. Ford
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  2. M. Luísa Morgado
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Correspondence to Neville J. Ford.

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Ford, N.J., Morgado, M.L. Fractional boundary value problems: Analysis and numerical methods. fcaa 14, 554–567 (2011). https://doi.org/10.2478/s13540-011-0034-4

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  • DOI: https://doi.org/10.2478/s13540-011-0034-4

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