Existence and Solution-representation of IVP for LFDE with Generalized Riemann-Liouville fractional derivatives and n terms

2013/02/12 by Myong-Ha Kim, Guk-Chol Ri, Kim, Myong-Ha +4
Mathematics · Physics and Astronomy · #26A33 #34A08 #34A25 #44A40 #Classical Analysis and ODEs (math.CA) #Differential Equations and Numerical Methods #FOS: Mathematics #FOS: Physical sciences #Fractional Differential Equations Solutions #Mathematical Physics (math-ph) #Numerical methods for differential equations #math-ph #math.CA #math.MP #msc:26A33 #msc:34A08 #msc:34A25 #msc:44A40

paper · pdf · doi:10.48550/arxiv.1302.2873

15 pages, ver 5 corrected 4 typos in ver 4; this version to appear in FCAA Vol.17, No.1, 2014 with the title "Operation Method for Solving Multi-Term Fractional Differential Equations with the Generalized Fractional Derivatives"

openalex publication_date 2013/02/12 · arxiv created 2013/11/03 · arxiv updated 2013/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper provides the existence and representation of solution to an initial value problem for the general multi-term linear fractional differential equation with generalized Riemann-Liouville fractional derivatives and constant coefficients by using operational calculus of Mikusinski's type. We prove that the initial value problem has the solution of if and only if some initial values should be zero.

Citations

• Fractional Differential Equations

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