Multiplicity results for integral boundary value problems of fractional order with parametric dependence

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2015_FraCalApAn_Cabada_Multiplicity.pdf (186.96 KB)
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URI: https://hdl.handle.net/10347/45724
ISSN: 1311-0454
E-ISSN: 1314-2224
DOI: 10.1515/fca-2015-0015

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2015-02-10

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Springer
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This paper is devoted to the study of nonlinear fractional differential equation with parameter dependence and integral boundary value condi- tions. In the paper various existence and multiplicity results for positive solutions are derived depending of different values of the parameter. Some illustrative examples are also discussed

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Fractional differential equations| Integral boundary conditions| Parameter dependence| Positive solution| Green’s function| Krasnoselskii’s fixed point theorem

Bibliographic citation

Cabada, A., Hamdi, Z. Multiplicity Results for Integral Boundary Value Problems of Fractional Order with Parametric Dependence. FCAA 18, 223–237 (2015). https://doi.org/10.1515/fca-2015-0015

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The first author thanks to FEDER and Ministerio de Educación y Ciencia, Spain, by supported grant MTM2010-15314; and to FEDER and Ministerio de Economía y Competitividad, Spain, by supported grant MTM2013- 43014-P

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