Lyapunov-type inequalities for higher-order Caputo fractional differential equations with general two-point boundary conditions

Satyam Narayan Srivastava; Smita Pati; John R. Graef; Alexander Domoshnitsky; Seshadev Padhi

doi:10.56754/0719-0646.2602.259

Authors

Satyam Narayan Srivastava Department of Mathematics, Ariel University, Ariel-40700, Israel. https://orcid.org/0000-0002-4761-3109
Smita Pati Amity University Jharkhand, Ranchi, 834001, India. https://orcid.org/0000-0002-1371-7591
John R. Graef Department of Mathematics, University of Tennessee at Chattanooga, Chattanooga, TN 37401 USA. https://orcid.org/0000-0002-8149-4633
Alexander Domoshnitsky Department of Mathematics, Ariel University, Ariel-40700, Israel. https://orcid.org/0000-0002-8114-7084
Seshadev Padhi Department of Mathematics, Birla Institute of Technology, Ranchi-835215, India. https://orcid.org/0000-0002-0282-2791

DOI:

https://doi.org/10.56754/0719-0646.2602.259

Keywords:

Fractional integral, Caputo fractional derivative, boundary value problem, existence of solution, Lyapunov inequality, Green’s function

Abstract

In this paper the authors present three different Lyapunov-type inequalities for a higher-order Caputo fractional differential equation with identical boundary conditions marking the inaugural instance of such an approach in the existing literature. Their findings extend and complement certain prior results in the literature.

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References

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