Integral equations, fractional calculus and shift operator

2010/07/29 by D. Babusci, Babusci, D., G. Dattoli +3
Mathematics · Physics and Astronomy · #26A33 #45P05 #FOS: Physical sciences #Fractional Differential Equations Solutions #Iterative Methods for Nonlinear Equations #Mathematical Physics (math-ph) #Mathematical functions and polynomials #math-ph #math.MP #msc:26A33 #msc:45P05

paper · pdf · doi:10.48550/arxiv.1007.5211

7 pages, 1 figure

arxiv created 2010/07/29 · openalex publication_date 2010/07/29 · arxiv updated 2010/07/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present an extension of a previously developed method employing the formalism of the fractional derivatives to solve new classes of integral equations. This method uses different forms of integral operators that generalizes the exponential shift operator.

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