Existence and uniqueness of solutions for nonlinear implicit Caputo-Hadamard fractional differential equations with nonlocal conditions

Existence and uniqueness of solutions for nonlinear implicit Caputo-Hadamard fractional differential equations with nonlocal conditions

In this paper, we use the contraction mapping principle to obtain the existence, interval of existence and uniqueness of solutions for nonlinear implicit Caputo-Hadamard fractional differential equations with nonlocal conditions. We also use the generalization of Gronwall's inequality to show t...

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Veröffentlicht in:Advances in the theory of nonlinear analysis and its applications 2019-03, Vol.3 (1), p.46-52
Hauptverfasser: ARDJOUNİ, Abdelouaheb, DJOUDİ, Ahcene
Format: Artikel
Sprache:eng
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Zusammenfassung:In this paper, we use the contraction mapping principle to obtain the existence, interval of existence and uniqueness of solutions for nonlinear implicit Caputo-Hadamard fractional differential equations with nonlocal conditions. We also use the generalization of Gronwall's inequality to show the estimate of the solutions.
ISSN:2587-2648
2587-2648
DOI:10.31197/atnaa.501118