Existence and multiplicity of positive solutions to a system of fractional difference equations with parameters

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Date
2020
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Springer
Journal Title
Existence and multiplicity of positive solutions to a system of fractional difference equations with parameters
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Abstract
We consider a fractional difference-sum boundary problem for a system of fractional difference equations with parameters. Using the Banach fixed point theorem, we prove the existence and uniqueness of solutions. We also prove the existence of at least one and two solutions by using the KrasnoselskiiÕs fixed point theorem for a cone map. Finally, we give some examples to illustrate our results. © 2020, The Author(s).
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Advances in Difference Equations
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