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Multiple solutions to boundary value problem for impulsive fractional differential equations

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Abstract

We study the multiplicity of solutions for fractional differential equations subject to boundary value conditions and impulses. After introducing the notions of classical and weak solutions, we prove the existence of at least three solutions to the impulsive problem considered.

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Authors and Affiliations

  1. Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, Santiago de Compostela, Spain

    Rosana Rodríguez-López

  2. Department of Mathematics, University of Ruse, 7017, Ruse, Bulgaria

    Stepan Tersian

Authors
  1. Rosana Rodríguez-López
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  2. Stepan Tersian
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Correspondence to Rosana Rodríguez-López.

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Dedicated to Professor Ivan Dimovski on the occasion of his 80th Anniversary

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Rodríguez-López, R., Tersian, S. Multiple solutions to boundary value problem for impulsive fractional differential equations. Fract Calc Appl Anal 17, 1016–1038 (2014). https://doi.org/10.2478/s13540-014-0212-2

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  • DOI: https://doi.org/10.2478/s13540-014-0212-2

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