An approximate method for solving fractional system differential equations

Subject Areas : Applied Mathematics

Mohammad Adabitabar Firozja ¹ , Bahram Agheli ²

1 - Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
2 - Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran

Received: 2019-04-08 Accepted : 2020-02-05 Published : 2020-05-01

Keywords: Basic function, Caputo derivative, Fuzzy transform, System differential equations,

Abstract :

IIn this research work, we have shown that it is possible to use fuzzy transform method (FTM) for the estimate solution of fractional system differential equations (FSDEs). In numerical methods, in order to estimate a function on a particular interval, only a restricted number of points are employed. However, what makes the F-transform preferable to other methods is that it makes use of all points in this interval. A number of clear and specific examples have been enumerated for the purpose of illustrating the simplicity and efficiency of the suggested method.