Distributional framework for solving fractional differential equations

2009/02/03 by Teodor M. Atanacković, Teodor M. Atanackovic, Ljubica Oparnica +2
Mathematics · #Fractional Differential Equations Solutions #Mathematical and Theoretical Analysis #Nonlinear Differential Equations Analysis #math.FA #msc:26A33 #msc:46F12

paper · pdf · doi:10.1080/10652460802568069

published as Integral Transforms and Special Functions, Vol. 20, 2009

arxiv created 2009/02/03 · openalex publication_date 2009/03/06 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

We analyse the solvability of a special form of distributed order fractional differential equations within 𝒮′+, the space of tempered distributions supported by [0, ∞).

Citations

• Semilinear ordinary differential equation coupled with distributed order fractional differential equation
• Some aspects of fractional diffusion equations of single and distributed order