In this research study, the generalized differential transform scheme has been applied to
simulate impulsive differential equations with the noninteger order. One specific tool of the …

For the impulsive fractional-order system (IFrOS) of order ϵ∈(1, 2), there have appeared
some conflicting equivalent integral equations in existing studies. However, we find two …

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 …

For impulsive fractional order system (IFOS), its equivalent integral equation (EIE) is an
important process tool for discussing the IFOS's properties (such as existence of solution …

For the impulsive Hadamard fractional order system (IHFrOS), we apply the fractional
property of segment function to construct the equivalent integral equality (EIE) of a special …

It is found that there are two piecewise functions satisfy the conditions in the impulsive
fractional partial differential system (IFrPDS), which deduce that the three different integral …

In this research study, the generalized differential transform scheme has been applied to
simulate impulsive differential equations with the noninteger order. One specific tool of the …

The fractional derivatives are not equal for different expressions of the same piecewise
function, which caused that the equivalent integral equations of impulsive fractional order …

School of Mathematics and Statistics, Yangtze Normal University, Chongqing 408100, China
Abstract. For the impulsive fractional order system (IFrOS) of order(1, 2) λ∈, there have …

For impulsive fractional order systems (IFrOS), there appeared some conflicting equivalent
integral equations in existing studies. However, we use two fractional properties of …