Details

Autor(en) / Beteiligte

• Alrawashdeh, Mahmoud S.
• Migdady, Seba A.
• Argyros, Ioannis K.

Titel

An Efficient Mechanism to Solve Fractional Differential Equations Using Fractional Decomposition Method

Ist Teil von

• Symmetry (Basel), 2021-06, Vol.13 (6), p.984

Ort / Verlag

Basel: MDPI AG

Erscheinungsjahr

2021

Quelle

EZB Electronic Journals Library

Beschreibungen/Notizen

• We present some new results that deal with the fractional decomposition method (FDM). This method is suitable to handle fractional calculus applications. We also explore exact and approximate solutions to fractional differential equations. The Caputo derivative is used because it allows traditional initial and boundary conditions to be included in the formulation of the problem. This is of great significance for large-scale problems. The study outlines the significant features of the FDM. The relation between the natural transform and Laplace transform is a symmetrical one. Our work can be considered as an alternative to existing techniques, and will have wide applications in science and engineering fields.