RT Journal Article
T1 Lyapunov-type inequalities for a higher order fractional differential equation with fractional integral boundary conditions
A1 Jleli, Mohamed
A1 Nieto Roig, Juan José
A1 Samet, Bessem
K1 Lyapunov-type inequality
K1 Fractional boundary value problem
K1 Eigenvalue
AB New Lyapunov-type inequalities are derived for the fractional boundary value problem Daa u(t) + q(t)u(t) = 0, a <t <b, u(a) = u0(a) = … = u(n-2)(a) = 0, u(b) = Iaa (hu)(b), where n E IN, n > 2, n - 1 < <n, Daa denotes the Riemann–Liouville fractional derivative of order a, Iaa denotes the Riemann–Liouville fractional integral of order a, and q, h 2 C([a, b];R). As an application, we obtain numerical approximations of lower bound for the eigenvalues of corresponding equations
PB Bolyai Institute, University of Szeged
PB Hungarian Academy of Sciences
SN 1417-3875
YR 2017
FD 2017
LK http://hdl.handle.net/10347/17587
UL http://hdl.handle.net/10347/17587
LA eng
NO Jleli, Mohamed, Nieto, Juan J. and Samet, Bessem: Lyapunov-type inequalities for a higher order fractional differential equation with fractional integral boundary conditions, Electron. J. Qual. Theory Differ. Equ. 2017, No. 16, 1-17.
NO The research of J. J. Nieto was partially supported by the Ministerio de Economía y Competitividad of Spain under grant MTM2013-43014-P, co-financed by the European Community fund FEDER, and XUNTA de Galicia under grant GRC2015-004. The third author extends his appreciation to Distinguished Scientist Fellowship Program (DSFP) at King Saud University (Saudi Arabia)
DS Minerva
RD 28 abr 2026