Solutions to Some Fractional Differential Equations and Their Integrable Discretizations(General)

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概要

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• Two linear fractional differential equations appearing in the field of fluid mechanics are investigated. These equations are solved by employing a Puiseux expansion and their solutions are expressed in terms of the Mittag-Leffler function. Ordinary differential equations without fractional derivatives that the fundamental solutions satisfy are also derived. We also present an integrable discretization of the fractional differential equation together with its solution.

• 社団法人日本物理学会の論文
• 2007-09-15

著者

• KAMETAKA Yoshinori

  Graduate School of Engineering Science, Osaka University

• NAGAI Atsushi

  College of Industrial Technology, Nihon University

• Kametaka Yoshinori

  Graduate School Of Engineering Science Osaka University

• Nagai Atsushi

  College Of Industrial Technology Nihon University

関連論文

• Two-point Simple-type Self-adjoint Boundary Value Problems for Bending a Beam - Dependency of Green Functions on an Interval Length
• Positivity and Hierarchical Structure of Green's Functions of 2-Point Boundary Value Problems for Bending of a Beam
• Solutions to Some Fractional Differential Equations and Their Integrable Discretizations(General)

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