Existence of deviating fractional differential equation

Existence of deviating fractional differential equation

In this paper we shall establish sufficient conditions for the existence of solutions of a class of fractional differential equation (Cauchy type ) and its solvability in a subset of the Banach space. The main tool used in our study is the non-expansive operator technique. The non integer case is ta...

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Autor principal: Ibrahim,Rabha W
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2012
Materias:
Fractional calculus
fractional differential equation
Cauchy equation
Riemann-Liouville fractional operators
Volterra integral equation
non-expansive mapping
iterative differential equation
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462012000300009
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spelling oai:scielo:S0719-064620120003000092018-10-08Existence of deviating fractional differential equationIbrahim,Rabha W Fractional calculus fractional differential equation Cauchy equation Riemann-Liouville fractional operators Volterra integral equation non-expansive mapping iterative differential equation In this paper we shall establish sufficient conditions for the existence of solutions of a class of fractional differential equation (Cauchy type ) and its solvability in a subset of the Banach space. The main tool used in our study is the non-expansive operator technique. The non integer case is taken in sense of Riemann Liouville fractional operators. Applications are illustrated.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.14 n.3 20122012-10-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462012000300009en10.4067/S0719-06462012000300009
institution Scielo Chile
collection Scielo Chile
language English
topic Fractional calculus
fractional differential equation
Cauchy equation
Riemann-Liouville fractional operators
Volterra integral equation
non-expansive mapping
iterative differential equation
spellingShingle Fractional calculus
fractional differential equation
Cauchy equation
Riemann-Liouville fractional operators
Volterra integral equation
non-expansive mapping
iterative differential equation
Ibrahim,Rabha W
Existence of deviating fractional differential equation
description In this paper we shall establish sufficient conditions for the existence of solutions of a class of fractional differential equation (Cauchy type ) and its solvability in a subset of the Banach space. The main tool used in our study is the non-expansive operator technique. The non integer case is taken in sense of Riemann Liouville fractional operators. Applications are illustrated.
author Ibrahim,Rabha W
author_facet Ibrahim,Rabha W
author_sort Ibrahim,Rabha W
title Existence of deviating fractional differential equation
title_short Existence of deviating fractional differential equation
title_full Existence of deviating fractional differential equation
title_fullStr Existence of deviating fractional differential equation
title_full_unstemmed Existence of deviating fractional differential equation
title_sort existence of deviating fractional differential equation
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2012
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462012000300009
work_keys_str_mv AT ibrahimrabhaw existenceofdeviatingfractionaldifferentialequation
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