Artículo
Semilinear fractional differential equations: global solutions, critical nonlinearities and comparison results
Autor/es | Andrade, Bruno de
Carvalho, Alexandre Nolasco Mendes de Carvalho Neto, Paulo Marín Rubio, Pedro |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2015-06 |
Fecha de depósito | 2019-03-11 |
Publicado en |
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Resumen | In this work we study several questions concerning to abstract fractional
Cauchy problems of order α ∈ (0, 1). Concretely, we analyze the existence of local mild solutions for the problem, and its possible continuation ... In this work we study several questions concerning to abstract fractional Cauchy problems of order α ∈ (0, 1). Concretely, we analyze the existence of local mild solutions for the problem, and its possible continuation to a maximal interval of existence. The case of critical nonlinearities and corresponding regular mild solutions is also studied. Finally, by establishing some general comparison results, we apply them to conclude the global well-posedness of a fractional partial differential equation coming from heat conduction theory. |
Identificador del proyecto | 100994/2011-3
478053/2013-4 5549/11-6 305447/2005-0 451761/2008-1 267/2008 2008/53094-4 2008/58944-6 5537/11-8 PHB2010-0002-PC MTM2011-22411 P07-FQM-02468 |
Cita | Andrade, B.d., Carvalho, A.N., Mendes de Carvalho Neto, P. y Marín Rubio, P. (2015). Semilinear fractional differential equations: global solutions, critical nonlinearities and comparison results. Topological Methods in Nonlinear Analysis, 45 (2), 439-467. |
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