Mittag-Leffler function and fractional differential equations-Reference-Cited by-同舟云学术

Mittag-Leffler function and fractional differential equations

Published:2018-02-01 Issue:1 Volume:21 Page:220-236
ISSN:1314-2224
Container-title:Fractional Calculus and Applied Analysis
language:en
Short-container-title:

Author:

Górska Katarzyna¹,Lattanzi Ambra¹,Dattoli Giuseppe²

Affiliation:

1. H. Niewodniczański Institute of Nuclear Physics Polish Academy of Sciences ul , Eljasza-Radzikowskiego 152, PL 31342 , Kraków , Poland

2. ENEA - Centro Ricerche Frascati , v. le E. Fermi, 45 IT 00044 , Frascati (Roma) , Italy

Abstract

Abstract We adopt a procedure of operational-umbral type to solve the (1 + 1)-dimensional fractional Fokker-Planck equation in which time fractional derivative of order α (0 < α < 1) is in the Riemann-Liouville sense. The technique we propose merges well documented operational methods to solve ordinary FP equation and a redefinition of the time by means of an umbral operator. We show that the proposed method allows significant progress including the handling of operator ordering.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Analysis

Link

https://www.degruyter.com/document/doi/10.1515/fca-2018-0014/pdf

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