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<p>In this paper, we investigate various classes of the abstract multi-term fractional difference equations and the abstract higher-order difference equations with integer order derivatives. The abstract difference equations under our consideration can be unsolvable with respect to the highest derivative. We use the Riemann-Liouville and Caputo fractional derivatives, provide some new applications of Poisson like transforms and clarify certain results about the existence and uniqueness of almost periodic type solutions to the abstract difference equations.</p>

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Abstract multi-term fractional difference equations

  • 期刊论文

  • 发表日期：

    2025年3月24日

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  • Marko Kostić

摘要

In this paper, we investigate various classes of the abstract multi-term fractional difference equations and the abstract higher-order difference equations with integer order derivatives. The abstract difference equations under our consideration can be unsolvable with respect to the highest derivative. We use the Riemann-Liouville and Caputo fractional derivatives, provide some new applications of Poisson like transforms and clarify certain results about the existence and uniqueness of almost periodic type solutions to the abstract difference equations.