EXTREMAL SOLUTIONS FOR A NONLINEAR IMPULSIVE DIFFERENTIAL EQUATIONS WITH MULTI-ORDERS FRACTIONAL DERIVATIVES

Lihong Zhang; Juan J. Nieto; Guotao Wang

doi:10.11948/2017051

2017 Volume 7 Issue 3

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Lihong Zhang, Juan J. Nieto, Guotao Wang. EXTREMAL SOLUTIONS FOR A NONLINEAR IMPULSIVE DIFFERENTIAL EQUATIONS WITH MULTI-ORDERS FRACTIONAL DERIVATIVES[J]. Journal of Applied Analysis & Computation, 2017, 7(3): 814-823. doi: 10.11948/2017051

Citation:

Lihong Zhang, Juan J. Nieto, Guotao Wang. EXTREMAL SOLUTIONS FOR A NONLINEAR IMPULSIVE DIFFERENTIAL EQUATIONS WITH MULTI-ORDERS FRACTIONAL DERIVATIVES[J]. Journal of Applied Analysis & Computation, 2017, 7(3): 814-823. doi: 10.11948/2017051

EXTREMAL SOLUTIONS FOR A NONLINEAR IMPULSIVE DIFFERENTIAL EQUATIONS WITH MULTI-ORDERS FRACTIONAL DERIVATIVES

1 School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, China;
2 Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, Spain

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Abstract

Abstract

In this paper, by employing the lower and upper solutions method, we give an existence theorem for the extremal solutions for a nonlinear impulsive differential equations with multi-orders fractional derivatives and integral boundary conditions. A new comparison result is also established.
- Multi-orders fractional derivatives /
- Impulse /
- Multi-orders fractional integral boundary conditions /
- Nonlinear fractional differential equations /
- Extremal solutions
MSC: 34A08;34B15;34B37

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References

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