Existence of solutions for conformable fractional problems with nonlinear functional boundary conditions

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URI: https://hdl.handle.net/10347/45446
ISSN: 2319−3786
DOI: 10.26637/mjm0704/0013

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2019-12-03

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University Press
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In this article, we study the existence of solutions for nonlinear conformable fractional differential equations with nonlinear functional boundary conditions. We obtain the exact expression of the fractional Green’s function related to the linear problem. Moreover, the method of upper and lower solutions together with Schauder’s fixed point theorem is developed for the nonlinear conformable fractional problems with nonlinear functional boundary conditions.

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Conformable fractional derivative| Nonlinear boundary conditions| Green’s function| Upper and lower solutions method| Existence theorems| Maximum principles

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Bendouma, Bouharket, Alberto Cabada and Ahmed Hammoudi. “Existence of solutions for conformable fractional problems with nonlinear functional boundary conditions.” Malaya Journal of Matematik, Vol. 7, No. 4, 700-708, 2019

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Second author partially supported by XUNTA De Galicia (Spain), project EM2014/032 and AIE Spain and FEDER, GRANT MTM2016-75140-P.

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Attribution 4.0 International

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Centro de Investigación e Tecnoloxía Matemática de Galicia (CITMAga)
Estatística, Análise Matemática e Optimización