SOLVABILITY FOR NONLINEAR SINGULAR FRACTIONAL DIFFERENTIAL SYSTEMS WITH MULTI-ORDERS

Yige Zhao

doi:10.11948/2018.1170

2018 Volume 8 Issue 4

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Yige Zhao. SOLVABILITY FOR NONLINEAR SINGULAR FRACTIONAL DIFFERENTIAL SYSTEMS WITH MULTI-ORDERS[J]. Journal of Applied Analysis & Computation, 2018, 8(4): 1170-1185. doi: 10.11948/2018.1170

Citation:

Yige Zhao. SOLVABILITY FOR NONLINEAR SINGULAR FRACTIONAL DIFFERENTIAL SYSTEMS WITH MULTI-ORDERS[J]. Journal of Applied Analysis & Computation, 2018, 8(4): 1170-1185. doi: 10.11948/2018.1170

SOLVABILITY FOR NONLINEAR SINGULAR FRACTIONAL DIFFERENTIAL SYSTEMS WITH MULTI-ORDERS

Yige Zhao

School of Mathematical Sciences, University of Jinan, Jinan, Shandong 250022, China

Fund Project:

Abstract

Abstract

In this paper, we consider the existence of positive solutions for a class of nonlinear singular fractional differential systems with multi-orders. Our analysis relies on fixed point theorems on cones. Some sufficient conditions for the existence of at least one or two positive solutions for boundary value problem of nonlinear singular fractional differential systems with multi-orders are established. As an application, an example is presented to illustrate the main results.
- Positive solution /
- singular system /
- fractional Green's function /
- fixed point theorem
MSC: 34A08;34B18

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References

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