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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| Format: | Article |
| Language: | English |
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AIMS Press
2022-01-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2022033?viewType=HTML |
| _version_ | 1798035618629943296 |
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| author | Monica-Felicia Bota Liliana Guran |
| author_facet | Monica-Felicia Bota Liliana Guran |
| author_sort | Monica-Felicia Bota |
| collection | DOAJ |
| description | 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 differential equations using the Atangana-Bǎleanu fractional operator. |
| first_indexed | 2024-04-11T21:00:44Z |
| format | Article |
| id | doaj.art-126b558c94aa4d55ba2d1a7f38832273 |
| institution | Directory Open Access Journal |
| issn | 2473-6988 |
| language | English |
| last_indexed | 2024-04-11T21:00:44Z |
| publishDate | 2022-01-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj.art-126b558c94aa4d55ba2d1a7f388322732022-12-22T04:03:31ZengAIMS PressAIMS Mathematics2473-69882022-01-017151853510.3934/math.2022033Existence of a solution of fractional differential equations using the fixed point technique in extended b-metric spacesMonica-Felicia Bota0Liliana Guran11. Department of Mathematics, Babeș-Bolyai University, Kogǎlniceanu Street No. 1, 400084, Cluj-Napoca, Romania2. Department of Pharmaceutical Sciences, "Vasile Goldiș" Western University of Arad, L. Rebreanu Street, No. 86, 310048, Arad, RomaniaThe 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 differential equations using the Atangana-Bǎleanu fractional operator.https://www.aimspress.com/article/doi/10.3934/math.2022033?viewType=HTMLfixed pointextended b-metric spaceφ-contractionα-φ-contractionwell-posednessintegral equationsfractional differential equations |
| spellingShingle | Monica-Felicia Bota Liliana Guran Existence of a solution of fractional differential equations using the fixed point technique in extended b-metric spaces AIMS Mathematics fixed point extended b-metric space φ-contraction α-φ-contraction well-posedness integral equations fractional differential equations |
| title | Existence of a solution of fractional differential equations using the fixed point technique in extended b-metric spaces |
| title_full | Existence of a solution of fractional differential equations using the fixed point technique in extended b-metric spaces |
| title_fullStr | Existence of a solution of fractional differential equations using the fixed point technique in extended b-metric spaces |
| title_full_unstemmed | Existence of a solution of fractional differential equations using the fixed point technique in extended b-metric spaces |
| title_short | Existence of a solution of fractional differential equations using the fixed point technique in extended b-metric spaces |
| title_sort | existence of a solution of fractional differential equations using the fixed point technique in extended b metric spaces |
| topic | fixed point extended b-metric space φ-contraction α-φ-contraction well-posedness integral equations fractional differential equations |
| url | https://www.aimspress.com/article/doi/10.3934/math.2022033?viewType=HTML |
| work_keys_str_mv | AT monicafeliciabota existenceofasolutionoffractionaldifferentialequationsusingthefixedpointtechniqueinextendedbmetricspaces AT lilianaguran existenceofasolutionoffractionaldifferentialequationsusingthefixedpointtechniqueinextendedbmetricspaces |