Semilinear ordinary differential equation coupled with distributed order fractional differential equation

2008/11/18 by Teodor M. Atanacković, Teodor M. Atanackovic, Ljubica Oparnica +5 · 1 citation
Mathematics · #26A33 #34G20 #47H10 #FOS: Mathematics #Fractional Differential Equations Solutions #Functional Analysis (math.FA) #Iterative Methods for Nonlinear Equations #Numerical methods for differential equations #math.FA #msc:26A33 #msc:34G20 #msc:47H10

paper · pdf · doi:10.48550/arxiv.0811.2871

openalex publication_date 2008/11/18 · arxiv created 2009/09/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

System of semilinear ordinary differential equation and fractional differential equation of distributed order is investigated and solved in a mild and classical sense. Such a system arises as a distributed derivative model of viscoelasticity and in the system identfica- tion theory. Also, the existence and uniqueness of a solution to a general linear fractional differential equation in the space of tempered distributions is given.

Citations

• Linear Models of Dissipation whose Q is almost Frequency Independent--II

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• Distributional framework for solving fractional differential equations

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