Open AccessAnalytic Approach for Solving System of Fractional Differential Equations
Author(s) -
Nabaa N. Hasan,
Zainab John
Publication year - 2021
Publication title -
al-mustansiriyah journal of science
Language(s) - English
Resource type - Journals
eISSN - 2521-3520
pISSN - 1814-635X
DOI - 10.23851/mjs.v32i1.929
Subject(s) - mathematics , fractional calculus , transformation (genetics) , stability (learning theory) , differential equation , mathematical analysis , differential (mechanical device) , function (biology) , derivative (finance) , physics , computer science , biochemistry , chemistry , machine learning , evolutionary biology , biology , financial economics , economics , gene , thermodynamics
In this paper, Sumudu transformation (ST) of Caputo fractional derivative formulae are derived for linear fractional differential systems. This formula is applied with Mittage-Leffler function for certain homogenous and nonhomogenous fractional differential systems with nonzero initial conditions. Stability is discussed by means of the system's distinctive equation.
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