A boundary value problem for a random-order fractional differential equation

A boundary value problem for a random-order fractional differential equation

In this paper, we define a new Riemann–Liouville fractional integral with random order, from this Caputo and Riemann–Liouville fractional derivatives are straightforward obtained, where the fractional order of these operators is a simple random variable. We derive useful properties analogous to thos...

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Bibliographic Details
Main Authors: Omar U. Lopez-Cresencio, Francisco J. Ariza-Hernandez, Jorge Sanchez-Ortiz, Martin P. Arciga-Alejandre
Format: Article
Language:English
Published: Elsevier 2022-11-01
Series:Results in Applied Mathematics
Subjects:
Random order derivative
Fractional oscillator
Caputo derivative
Nystrom method
Online Access:http://www.sciencedirect.com/science/article/pii/S2590037422000528

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