The Analytical Solution of Some Fractional Ordinary Differential Equations by the Sumudu Transform Method

By Hasan Bulut, Haci Mehmet Baskonus, Fethi Bin Muhammad Belgacem. 2013

134 citations recorded by the source corpus.

We introduce the rudiments of fractional calculus and the consequent applications of the Sumudu transform on fractional derivatives. Once this connection is firmly established in the general setting, we turn to the application of the Sumudu transform method (STM) to some interesting nonhomogeneous fractional ordinary differential equations (FODEs). Finally, we use the solutions to form two-dimensional (2D) graphs, by using the symbolic algebra package Mathematica Program 7.

Subfields: Modeling and Simulation, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/6676e2f56fd6f825b97eff00acaf8eb262462386

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Modeling and Simulation

In Numerical Analysis

In Statistical and Nonlinear Physics

Citations in the corpus

Application of Shehu transform to Atangana-Baleanu derivatives (2019, background): “Many authors have studied and used this transformation to solve problems in different disciplines of science [3, 5, 6, 8, 9] and [13–15].”
Shehu Transform and Applications to Caputo-Fractional Differential Equations (2019, background): “Consider the following homogeneous fractional ordinary differential equation : [4] D 1 2 y (t) + y (t) = t(2) + Γ (3) Γ ( 5 2 ) t 32 , t > 0, (3.”
Analysis of logistic equation pertaining to a new fractional derivative with non-singular kernel (2017, background): “In the above formula (10), x(s) stands for the Laplace transform of the function x(t).”