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  • Fractional differential equations with Riemann-Liouville differential operator appear in many applications. Considering these problems, initial or boundary conditions are naturally given via noninteger order integrals and derivatives. In this paper we focus on a test linear initial-value problem with Riemann-Liouville fractional derivative. We are going to introduce a discretization of this problem which allows to involve initial conditions of a noninteger order. We illustrate it by a few examples.
  • Fractional differential equations with Riemann-Liouville differential operator appear in many applications. Considering these problems, initial or boundary conditions are naturally given via noninteger order integrals and derivatives. In this paper we focus on a test linear initial-value problem with Riemann-Liouville fractional derivative. We are going to introduce a discretization of this problem which allows to involve initial conditions of a noninteger order. We illustrate it by a few examples. (en)
Title
  • On a Discretization of the Initial Value Problem for a Linear Nonhomogeneous Fractional Differential Equation
  • On a Discretization of the Initial Value Problem for a Linear Nonhomogeneous Fractional Differential Equation (en)
skos:prefLabel
  • On a Discretization of the Initial Value Problem for a Linear Nonhomogeneous Fractional Differential Equation
  • On a Discretization of the Initial Value Problem for a Linear Nonhomogeneous Fractional Differential Equation (en)
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  • RIV/00216305:26210/10:PU88892!RIV11-MSM-26210___
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  • S, Z(MSM0021630518)
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  • 276622
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  • RIV/00216305:26210/10:PU88892
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  • Riemann-Liouville operator, initial-value problem, discretization, sequential algorithms (en)
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  • [7E6009EA29F1]
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  • Badajoz
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  • Badajoz, Španělsko
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  • Proceedings of FDA'10
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  • Kisela, Tomáš
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  • Technical University of Kosice and University of Extremadura
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  • 978-80-553-0487-8
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  • 26210
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