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Existence of solutions of discrete fractional problem coupled to mixed fractional boundary conditions
  • Rim BOURGUIBA,
  • Alberto Cabada,
  • Kalthoum Wannassi
Rim BOURGUIBA
Universite de Monastir Faculte des Sciences de Monastir
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Alberto Cabada
University of Santiago de Compostela

Corresponding Author:[email protected]

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Kalthoum Wannassi
University of Monastir Faculty of Sciences of Monastir
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Abstract

In this paper, we introduce a two-point nonlinear boundary value problem for a finite fractional difference equation. An associated Green's function is constructed as a series of functions and some of its properties are obtained. Some existence results are deduced from fixed point theory and lower and upper solutions.