Solution of fractional differential equations by using differential transform method

By A. Arıkoğlu, I. Ozkol. 2007

517 citations recorded by the source corpus.

Subfields: Mechanics of Materials, Modeling and Simulation, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/c6660b1b7ec3c0afe3c3cdd9335c2ea2e34ba3f6

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In Mechanics of Materials

In Modeling and Simulation

In Numerical Analysis

Citations in the corpus

GEGENBAUER WAVELETS OPERATIONAL MATRIX METHOD FOR FRACTIONAL DIFFERENTIAL EQUATIONS (2015, methodology): “Some of these techniques include, fractional difference method [25], differential transform method [2], Adomian decomposition method [14] and homotopy analysis method [16].”
Solution of Conformable Fractional Ordinary Differential Equations via Differential Transform Method (2016, methodology): “Recently, a new analytical technique is developed to solve fractional differential equations (FDEs) [21].”
A pseudo-spectral scheme for the approximate solution of a family of fractional differential equations (2011, methodology): “The results of our method and the methods of [12,11,14] for Example 5.”
SOLVING MULTI-TERM ORDERS FRACTIONAL DIFFERENTIAL EQUATIONS BY OPERATIONAL MATRICES OF BPs WITH CONVERGENCE ANALYSIS (2013, background): “Several forms of fractional differential equations have been proposed in standard models, and there has been significant interest in developing numerical schemes for their solution [2–12].”
Numerical investigations on COVID‐19 model through singular and non‐singular fractional operators (2020, background): “Several numerical techniques have been suggested to solve the arbitrary-order differential equations (DEs) [2, 6, 8, 11, 16].”
DIFFERENTIAL TRANSFORM METHOD FOR QUADRATIC RICCATI DIFFERENTIAL EQUATION (2010, methodology): “2 Basic idea of differential transform method The basic definitions and fundamental operations of differential transform are given in [1, 10-14].”
Solving systems of fractional differential equations using differential transform method (2008, methodology): “In this paper, we introduce a new application of the differential transform method [1] to provide approximate solutions for the system of fractional differential equations (1.”
Solution of Conformable Fractional Ordinary Differential Equations via Differential Transform Method (2016, unknown): “Recently, a new analytical technique is developed to solve fractional differential equations (FDEs) [21].”