Lyapunov-type inequalities for Riemann-Liouville type fractional boundary value problems
Novi Sad Journal of Mathematics, Tome 49 (2019) no. 1.

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In this article, we establish Lyapunov-type inequalities for two-point Riemann-Liouville type fractional boundary value problems. To illustrate the applicability of established results, we estimate lower bounds for eigenvalues of the corresponding eigenvalue problems and deduce criteria for the nonexistence of real zeros of certain Mittag-Leffler functions.
Publié le :
DOI : 10.30755/NSJOM.08271
Classification : 34A08, 34A40, 26D10, 34C10, 33E12
Keywords: Riemann-Liouville type fractional derivative, boundary value problem, Green's function, Lyapunov-type inequality, eigenvalue, Mittag-Leffler function
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     author = {Debananda Basua and Jagan Mohan Jonnalagadda},
     title = {Lyapunov-type inequalities for {Riemann-Liouville} type fractional boundary value problems},
     journal = {Novi Sad Journal of Mathematics},
     pages = {137 - 152},
     publisher = {mathdoc},
     volume = {49},
     number = {1},
     year = {2019},
     doi = {10.30755/NSJOM.08271},
     url = {http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.08271/}
}
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Debananda Basua; Jagan Mohan Jonnalagadda. Lyapunov-type inequalities for Riemann-Liouville type fractional boundary value problems. Novi Sad Journal of Mathematics, Tome 49 (2019) no. 1. doi : 10.30755/NSJOM.08271. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.08271/

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