Lyapunov-Type Inequalities for Riemann-Liouville Type Fractional Boundary Value Problems with Fractional Boundary Conditions

Author:

JONNALAGADDA JAGAN MOHAN,Satpathi Dipak Kumar,Basua Debananda

Publisher

Erdal Karapinar

Subject

Applied Mathematics,Analysis

Reference18 articles.

1. Reference 1 Z. Bai and H. L\"{u}, Positive solutions for boundary value problem of nonlinear fractional differential equation, J. Math. Anal. Appl., 311 (2005), 495 - 505.

2. Reference 2 R.C. Brown and D.B. Hinton, Lyapunov Inequalities and Their Applications, In: Survey on Classical Inequalities (Ed. T.M. Rassias), Math. Appl. 517, Kluwer Acad. Publ., Dordrecht - London, 1 - 25, 2000.

3. Reference 3 S. Dhar, Q. Kong and M. McCabe, Fractional boundary value problems and Lyapunov-type inequalities with fractional integral boundary conditions, Electronic Journal of Qualitative Theory of Differential Equations, 2016 (2016), No. 43, 1 - 16.

4. Reference 4 P.W. Eloe, J.W. Lyons and J.T. Neugebauer, An ordering on Green's functions for a family of two-point boundary value problems for fractional differential equations, Communications in Applied Analysis 19 (2015), 453 - 462.

5. Reference 5 R.A.C. Ferreira, A Lyapunov-type inequality for a fractional boundary value problem, Fract. Calc. Appl. Anal., 16 (2013), No. 4, 978 - 984.

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