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

Monica-Felicia Bota | Zendy; Liliana Guran | Zendy

Open Access

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

Author(s) -

Monica-Felicia Bota,

Liliana Guran

Publication year - 2021

Publication title -

aims mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.329

H-Index - 15

ISSN - 2473-6988

DOI - 10.3934/math.2022033

Subject(s) - mathematics , fixed point theorem , fixed point , type (biology) , metric space , mathematical analysis , nonlinear system , operator (biology) , fractional calculus , metric (unit) , pure mathematics , physics , ecology , biochemistry , chemistry , operations management , repressor , quantum mechanics , gene , transcription factor , economics , biology

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 $ \varphi $-contractions and $ \alpha $-$ \varphi $ contractions. The last section is devoted to applications to integral type equations and nonlinear fractional differential equations using the Atangana-Bǎleanu fractional operator.

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