CAPUTO TYPE FRACTIONAL DIFFERENTIAL EQUATION WITH NONLOCAL ERDÉLYI-KOBER TYPE INTEGRAL BOUNDARY CONDITIONS IN BANACH SPACES

CAPUTO TYPE FRACTIONAL DIFFERENTIAL EQUATION WITH NONLOCAL ERDÉLYI-KOBER TYPE INTEGRAL BOUNDARY CONDITIONS IN BANACH SPACES

In this paper, we study nonlocal boundary value problems of nonlinear Caputo fractional differential equations supplemented with Erdélyi-Kober type fractional integral boundary conditions. Existence results are obtained by applying the Mönch's fixed point theorem and the technique of measures o...

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Veröffentlicht in:Surveys in mathematics and its applications 2020-04, Vol.15 (2020), p.399-418
Hauptverfasser: Abdellatif Boutiara, Maamar Benbachir, Kaddour Guerbati
Format: Artikel
Sprache:eng
Schlagworte:
caputo fractional derivative
erdélyi-kober fractional integral conditions
fractional differential equation
kuratowski measures of noncompactness
mönch fixed point theorems
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Zusammenfassung:In this paper, we study nonlocal boundary value problems of nonlinear Caputo fractional differential equations supplemented with Erdélyi-Kober type fractional integral boundary conditions. Existence results are obtained by applying the Mönch's fixed point theorem and the technique of measures of noncompactness. An example illustrating the main result is also constructed.
ISSN:1843-7265
1842-6298