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Derivatives, Unnatural-Order Integrals, and a Class of Linear Differential Equations with Unnatural Derivatives

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Cybernetics and Systems Analysis Aims and scope

Abstract

Some features of the operators of unnatural differentiation and integration related to non-commutativity of their multiplication are considered in the paper in the general case. One possible approach is developed along with tools used to find solutions to a class of linear differential equations with unnatural derivatives. The relation between solutions to such equations and ordinary differential equations is mentioned.

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REFERENCES

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Authors and Affiliations

  1. State Institute of Information Science, Economy, and Law, Uzhgorod, Ukraine

    S. S. Polyak

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  1. S. S. Polyak
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Polyak, S.S. Derivatives, Unnatural-Order Integrals, and a Class of Linear Differential Equations with Unnatural Derivatives. Cybernetics and Systems Analysis 40, 215–225 (2004). https://doi.org/10.1023/B:CASA.0000034447.17987.d5

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  • DOI: https://doi.org/10.1023/B:CASA.0000034447.17987.d5

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