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Existence of solutions to boundary value problem for impulsive fractional differential equations

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Abstract

In this paper we study the existence and the multiplicity of solutions for an impulsive boundary value problem for fractional order differential equations. The notions of classical and weak solutions are introduced. Then, existence results of at least one and three solutions are proved.

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Authors and Affiliations

  1. Department of Civil, Information Technology, Construction, Environmental Engineering and Applied Mathematics, University of Messina, 98166, Messina, Italy

    Gabriele Bonanno

  2. Departamento de Análisis Matemático Facultad de Matemáticas, Universidad de Santiago de Compostela, 15782, Santiago de Compostela, Spain

    Rosana Rodríguez-López

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

    Stepan Tersian

Authors
  1. Gabriele Bonanno
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  2. Rosana Rodríguez-López
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  3. Stepan Tersian
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Corresponding author

Correspondence to Gabriele Bonanno.

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Dedicated to Professor Ravi P. Agarwal for his merits in mathematical sciences

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Bonanno, G., Rodríguez-López, R. & Tersian, S. Existence of solutions to boundary value problem for impulsive fractional differential equations. Fract Calc Appl Anal 17, 717–744 (2014). https://doi.org/10.2478/s13540-014-0196-y

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  • DOI: https://doi.org/10.2478/s13540-014-0196-y

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