Existence and non-existence of positive solutions of BVPs for fractional order elastic beam equations with a non-caratheodory nonlinearity

DOI10.1016/j.apm.2013.06.036zbMath1427.34039OpenAlexW2075263813MaRDI QIDQ1991370

Yanyan Li

Publication date: 30 October 2018

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2013.06.036

zbMATH Keywords

positive solutionfixed-point theoremRiemann-Liouville fractional derivativefractional order elastic beam equationnon-caratheodory function

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear boundary value problems for ordinary differential equations (34B15) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Fractional ordinary differential equations (34A08)

Related Items (7)

EXISTENCE RESULTS FOR BOUNDARY VALUE PROBLEMS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS ⋮ New existence results on positive solutions of four-point integral type BVPs for coupled multi-term fractional differential equations ⋮ Positive solutions of boundary value problems for fractional order differential equations by monotonic iteration method ⋮ On piecewise continuous solutions of higher order impulsive fractional differential equations and applications ⋮ Existence of positive solutions of fractional-order elastic beam equation with a non-Carathéodory nonlinearity ⋮ Eigenvalue problem for nonlinear elastic beam equation of fractional order ⋮ Solvability of singular fractional order elastic beam systems with nonlinearities depending on lower derivatives

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