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On the concept of general solution for impulsive differential equations of fractional-orderq∈ (2,3)

100%

Zhang X., Shu T., Liu Z., Ding W., Peng H., He J.

Open Mathematics

2016

tom 14

nr 1

452-473

In this paper, we find the formula of general solution for a generalized impulsive differential equations of fractional-order q ∈ (2, 3).

The general solution of impulsive systems with Riemann-Liouville fractional derivatives

100%

Zhang X., Ding W., Peng H., Liu Z., Shu T.

Open Mathematics

2016

tom 14

nr 1

1125-1137

In this paper, we study a kind of fractional differential system with impulsive effect and find the formula of general solution for the impulsive fractional-order system by analysis of the limit case (as impulse tends to zero). The obtained result shows that the deviation caused by impulses for fractional-order system is undetermined. An example is also provided to illustrate the result.

The general solution for impulsive differential equations with Riemann-Liouville fractional-order q ∈ (1,2)

100%

Zhang X., Agarwal P., Liu Z., Peng H.

Open Mathematics

2015

tom 13

nr 1

In this paper we consider the generalized impulsive system with Riemann-Liouville fractional-order q ∈ (1,2) and obtained the error of the approximate solution for this impulsive system by analyzing of the limit case (as impulses approach zero), as well as find the formula for a general solution. Furthermore, an example is given to illustrate the importance of our results.

Ograniczanie wyników

3 Open Mathematics

3 Liu Z.

3 Peng H.

3 Zhang X.

2 Ding W.

2 Shu T.

1 Agarwal P.

1 He J.

2 2016

1 2015

Wyniki wyszukiwania

On the concept of general solution for impulsive differential equations of fractional-orderq∈ (2,3)

The general solution of impulsive systems with Riemann-Liouville fractional derivatives

The general solution for impulsive differential equations with Riemann-Liouville fractional-order q ∈ (1,2)