Matkowski-Type Functional Contractions under Locally Transitive Binary Relations and Applications to Singular Fractional Differential Equations

被引：0

作者：

Khan, Faizan Ahmad ^{[1
]}

Eljaneid, Nidal H. E. ^{[1
]}

Alamer, Ahmed ^{[1
]}

Alshaban, Esmail ^{[1
]}

Alamrani, Fahad Maqbul ^{[1
]}

Alatawi, Adel ^{[1
]}

机构：

[1] Univ Tabuk, Math Dept, Tabuk 71491, Saudi Arabia

来源：

FRACTAL AND FRACTIONAL | 2024年 / 8卷 / 01期

关键词：

functional contractions; binary relations; singular fractional differential equations; FIXED-POINT THEOREMS; GENERALIZED CONTRACTIONS;

D O I：

10.3390/fractalfract8010072

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This article presents a few fixed-point results under Matkowski-type functional contractive mapping using locally J-transitive binary relations. Our results strengthen, enhance, and consolidate numerous existent fixed-point results. To argue for the efficacy of our results, several illustrated examples are supplied. With the help of our findings, we deal with the existence and uniqueness theorems pertaining to the solution of a variety of singular fractional differential equations.

引用

页数：17

共 15 条

[1] FIXED POINT THEOREMS UNDER LOCALLY T-TRANSITIVE BINARY RELATIONS EMPLOYING MATKOWSKI CONTRACTIONS
Arif, Mohammad
Imdad, Mohammad
Alam, Aftab
MISKOLC MATHEMATICAL NOTES, 2022, 23 (01) : 71 - 83
[2] Almost Nonlinear Contractions under Locally Finitely Transitive Relations with Applications to Integral Equations
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Aldhabani, Musaad S.
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Alshaban, Esmail
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MATHEMATICS, 2023, 11 (23)
[3] Boyd-Wong type functional contractions under locally transitive binary relation with applications to boundary value problems
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AIMS MATHEMATICS, 2024, 9 (03): : 6266 - 6280
[4] NONLINEAR CONTRACTIONS IN METRIC SPACES UNDER LOCALLY T-TRANSITIVE BINARY RELATIONS
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FIXED POINT THEORY, 2018, 19 (01): : 13 - 23
[5] WARDOWSKI TYPE CONTRACTIONS WITH APPLICATIONS ON CAPUTO TYPE NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
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Karapinar, Erdal
Aydi, Hassen
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UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2020, 82 (02): : 157 - 170
[6] Wardowski type contractions with applications on caputo type nonlinear fractional differential equations
Shatanawi, Wasfi
Karapınar, Erdal
Aydi, Hassen
Fulga, Andreea
UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2020, 82 (02): : 157 - 170
[7] Geraghty Type Contractions in Relational Metric Space with Applications to Fractional Differential Equations
Alamer, Ahmed
Eljaneid, Nidal H. E.
Aldhabani, Musaad S.
Altaweel, Nifeen H.
Khan, Faizan Ahmad
FRACTAL AND FRACTIONAL, 2023, 7 (07)
[8] On Orthogonal Fuzzy Interpolative Contractions with Applications to Volterra Type Integral Equations and Fractional Differential Equations
Ishtiaq, Umar
Jahangeer, Fahad
Kattan, Doha A.
Argyros, Ioannis K.
Regmi, Samundra
AXIOMS, 2023, 12 (08)
[9] Generalized Weak Contractions Involving a Pair of Auxiliary Functions via Locally Transitive Binary Relations and Applications to Boundary Value Problems
Eljaneid, Nidal H. E.
Alshaban, Esmail
Alatawi, Adel
Ali, Montaser Saudi
Alsharari, Saud S.
Khan, Faizan Ahmad
MATHEMATICS, 2025, 13 (01)
[10] Suzuki-Ciric-Type Nonlinear Contractions Employing a Locally ζ-Transitive Binary Relation with Applications to Boundary Value Problems
Filali, Doaa
Khan, Faizan Ahmad
MATHEMATICS, 2024, 12 (13)

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