Abstract
We derive a new Lyapunov type inequality for a boundary value problem involving both left Riemann–Liouville and right Caputo fractional derivatives in presence of natural conditions. Application to the corresponding eigenvalue problem is also discussed.
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Acknowledgements
Guezane-Lakoud and Khaldi were supported by Algerian funds within CNEPRU Projects B01120120002 and B01120140061, respectively. Torres was supported by Portuguese funds through CIDMA and FCT, project UID/MAT/04106/2013. The authors are grateful to an anonymous referee for valuable comments and suggestions, which helped to improve the quality of the paper.
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Guezane-Lakoud, A., Khaldi, R. & Torres, D.F.M. Lyapunov-type inequality for a fractional boundary value problem with natural conditions. SeMA 75, 157–162 (2018). https://doi.org/10.1007/s40324-017-0124-2
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DOI: https://doi.org/10.1007/s40324-017-0124-2