Lyapunov-Type Inequalities for Conformable BVP - Journal of Applied Mathematics and Physics

JAMP > Vol.6 No.7, July 2018

Journal of Applied Mathematics and Physics

Volume 6, Issue 7 (July 2018)

ISSN Print: 2327-4352 ISSN Online: 2327-4379

Google-based Impact Factor: 0.70 Citations

Lyapunov-Type Inequalities for Conformable BVP ()

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Download as PDF (Size: 325KB) PP. 1549-1557

DOI: 10.4236/jamp.2018.67131 683 Downloads 1,275 Views Citations

Author(s)

Xia Wang, Run Xu^*

Affiliation(s)

School of Mathematical Sciences, Qufu Normal University, Qufu, China.

ABSTRACT

In this paper, we present Lyapunov-type inequality for conformable BVP

with the conformable fractional derivative of order 1≤2 and 2≤3 with corresponding boundary conditions. We obtain the Lyapunov-type inequality by a construction Green’s function and get its corresponding maximum value. Application to the corresponding eigenvalue problem is also discussed.

KEYWORDS

Lyapunov-Type Inequalities, Conformable Fractional Derivative, Green’s Function, Eigenvalue

Share and Cite:

Wang, X. and Xu, R. (2018) Lyapunov-Type Inequalities for Conformable BVP. Journal of Applied Mathematics and Physics, 6, 1549-1557. doi: 10.4236/jamp.2018.67131.

Cited by

[1]	Lyapunov-Type Inequalities for a Conformable Fractional Boundary Value Problem of Order
	Journal of Function Spaces, 2019

[2]	Lyapunov-Type Inequalities for a Conformable Fractional Boundary Value Problem of Order 3< α≤ 4.
	2019

[3]	Lyapunov-Type Inequalities for a Conformable Fractional Boundary Value Problem of Order 3< α≤ 4
	Journal of Function Spaces, 2019

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