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Existence and uniqueness of solutions for a discrete fractional mixed type sum-difference equation boundary value problem - MaRDI portal

Existence and uniqueness of solutions for a discrete fractional mixed type sum-difference equation boundary value problem (Q1723309)

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scientific article; zbMATH DE number 7025334
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Existence and uniqueness of solutions for a discrete fractional mixed type sum-difference equation boundary value problem
scientific article; zbMATH DE number 7025334

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    Existence and uniqueness of solutions for a discrete fractional mixed type sum-difference equation boundary value problem (English)
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    19 February 2019
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    Summary: By means of Schauder's fixed point theorem and contraction mapping principle, we establish the existence and uniqueness of solutions to a boundary value problem for a discrete fractional mixed type sum-difference equation with the nonlinear term dependent on a fractional difference of lower order. Moreover, a suitable choice of a Banach space allows the solutions to be unbounded and two representative examples are presented to illustrate the effectiveness of the main results.
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