Affiliation:
1. School of Mathematics and Statistics Yangtze Normal University Chongqing China
2. School of Chemistry and Chemical Engineering Chongqing University Chongqing China
Abstract
It is found that there are two piecewise functions to satisfy the conditions in the impulsive fractional partial differential system (IFrPDS), which deduce that the three different equivalent integral equations of the IFrPDS given in the cited papers are inappropriate. Next, by applying two limit properties of the IFrPDS and the properties of piecewise function, the new formula of equivalent integral equation of the IFrPDS is discovered that is the integral equation with an arbitrary continuously differentiable function of
on
to reveal the non‐uniqueness of the IFrPDE's solution. Finally, an example is provided to expound the computation of the equivalent integral equation of the IFrPDS.
Funder
National Natural Science Foundation of China
Natural Science Foundation Project of Chongqing, Chongqing Science and Technology Commission