Existence of a solution of fractional differential equations using the fixed point technique in extended b-metric spaces

Existence of a solution of fractional differential equations using the fixed point technique in extended b-metric spaces

The purpose of the present paper is to prove some fixed point results for cyclic-type operators in extended b-metric spaces. The considered operators are generalized φ-contractions and α-φ contractions. The last section is devoted to applications to integral type equations and nonlinear fractional d...

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Bibliographic Details
Main Authors: Monica-Felicia Bota, Liliana Guran
Format: Article
Language:English
Published: AIMS Press 2022-01-01
Series:AIMS Mathematics
Subjects:
fixed point
extended b-metric space
φ-contraction
α-φ-contraction
well-posedness
integral equations
fractional differential equations
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2022033?viewType=HTML

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https://www.aimspress.com/article/doi/10.3934/math.2022033?viewType=HTML

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