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Nontrivial Solutions of Non-Autonomous Dirichlet Fractional Discrete Problems

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Abstract

In this paper, we introduce a two-point boundary value problem for a finite fractional difference equation with a perturbation term. By applying spectral theory, an associated Green’s function is constructed as a series of functions and some of its properties are obtained. Under suitable conditions on the nonlinear part of the equation, some existence and uniqueness results are deduced.

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Authors and Affiliations

  1. Departamento de Estatistica, Analise Matematica e Optimizacion Instituto de Matematicas, Facultade de Matematicas Universidade de Santiago de Compostela, Santiago de Compostela, Galicia, Spain

    Alberto Cabada

  2. Department of Mathematics, University of Ruse, Studentska str. 8, 7017, Ruse, Bulgaria

    Nikolay Dimitrov

Authors
  1. Alberto Cabada
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  2. Nikolay Dimitrov
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Correspondence to Alberto Cabada.

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Cabada, A., Dimitrov, N. Nontrivial Solutions of Non-Autonomous Dirichlet Fractional Discrete Problems. Fract Calc Appl Anal 23, 980–995 (2020). https://doi.org/10.1515/fca-2020-0051

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  • DOI: https://doi.org/10.1515/fca-2020-0051

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