Controlled Extended Branciari Quasi-b-Metric Spaces, Results, and Applications to Riesz-Caputo Fractional Differential Equations and Nonlinear Matrix Equations

被引：0

作者：

Jain, Reena ^{[1
]}

Nashine, Hemant Kumar ^{[1
,2
]}

George, Reny ^{[3
]}

机构：

[1] VIT Bhopal Univ, Sch Adv Sci & Languages, Math Div, Sehore 466114, Madhya Pradesh, India

[2] Univ Johannesburg, Dept Math & Appl Math, Kingsway Campus, ZA-2006 Auckland Pk, South Africa

[3] Prince Sattam Bin Abdulaziz Univ, Coll Sci & Humanities Al Kharj, Dept Math, Al Kharj 11942, Saudi Arabia

来源：

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

关键词：

fixed point; extended Branciari b-metric spaces; Riesz-Caputo derivative; anti-periodic boundary conditions; nonlinear matrix equations; FIXED-POINT THEOREMS; CONTRACTIONS; EXISTENCE;

D O I：

10.3390/fractalfract8010020

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the concept of controlled extended Branciari quasi-b-metric spaces, as well as a Gq-implicit type mapping. Under this new space setting, we derive some new fixed points, periodic points, right and left Ulam-Hyers stability, right and left weak well-posed properties, and right and left weak limit shadowing results. Additionally, we use these findings to solve the fractional differential equations of a Riesz-Caputo type with integral anti-periodic boundary values, as well of nonlinear matrix equations. All ideas, results, and applications are properly illustrated with examples.

引用

页数：25

共 50 条

[31] KRASNOSELSKII TYPE THEOREMS IN PRODUCT BANACH SPACES AND APPLICATIONS TO SYSTEMS OF NONLINEAR TRANSPORT EQUATIONS AND MIXED FRACTIONAL DIFFERENTIAL EQUATIONS
Amor, Sana Hadj
Precup, Radu
Traiki, Abdelhak
[J]. FIXED POINT THEORY, 2022, 23 (01): : 105 - 126
[32] A New Class of Coupled Systems of Nonlinear Hyperbolic Partial Fractional Differential Equations in Generalized Banach Spaces Involving the ψ-Caputo Fractional Derivative
Baitiche, Zidane
Derbazi, Choukri
Benchohra, Mouffak
Zhou, Yong
[J]. SYMMETRY-BASEL, 2021, 13 (12):
[33] Fixed point theorems in b-metric spaces with applications to differential equations
Huang, Huaping
Deng, Guantie
Radenovic, Stojan
[J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (01)
[34] Fixed point theorems in b-metric spaces with applications to differential equations
Huaping Huang
Guantie Deng
Stojan Radenović
[J]. Journal of Fixed Point Theory and Applications, 2018, 20
[35] Fixed point results in b-metric spaces with applications to integral equations
Alamri, Badriah
Ahmad, Jamshaid
[J]. AIMS MATHEMATICS, 2023, 8 (04): : 9443 - 9460
[36] Fixed Point Theorems in Controlled Rectangular Modular Metric Spaces with Solution of Fractional Differential Equations
Ishtiaq, Umar
Saleem, Naeem
Farhan, Muhammad
Aphane, Maggie
Chowdhury, Mohammad S. R.
[J]. EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2025, 18 (01):
[37] SOME FIXED POINT RESULTS IN EXTENDED PARAMETRIC B-METRIC SPACES WITH APPLICATION TO INTEGRAL EQUATIONS
Parvaneh, V
Hussain, N.
Kutbi, M. A.
Khorshidi, M.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS, 2019, 10 (05): : 14 - 33
[38] Fuzzy fixed point results and applications to ordinary fuzzy differential equations in complex valued metric spaces
Sarwar, Muhammad
Humaira
Li, Tongxing
[J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2019, 48 (06): : 1712 - 1728
[39] On Implicit Impulsive Conformable Fractional Differential Equations with Infinite Delay in b-Metric Spaces
Salim Krim
Abdelkrim Salim
Saïd Abbas
Mouffak Benchohra
[J]. Rendiconti del Circolo Matematico di Palermo Series 2, 2023, 72 : 2579 - 2592
[40] Sequences of contractions on cone metric spaces over Banach algebras and applications to nonlinear systems of equations and systems of differential equations
Alecsa, Cristian Daniel
[J]. INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2019, 10 (02): : 227 - 254

← 1 2 3 4 5 →