The (ψ,φ)-orthogonal interpolative contractions and an application to fractional differential equations-Reference-Cited by-同舟云学术

The (ψ,φ)-orthogonal interpolative contractions and an application to fractional differential equations

Published:2023 Issue:4 Volume:37 Page:1167-1185
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Nazam Muhammad¹,Javed Khalil²,Arshad Muhammad²

Affiliation:

1. Department of Mathematics, Allama Iqbal Open University, Islamabad, Pakistan

2. Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan

Abstract

In this manuscript, we introduce the (?,?)-orthogonal interpolative contraction as a generalization of an orthogonal interpolative contraction. We prove several fixed point theorems stating conditions under which (?,?)-orthogonal interpolative contraction admits a fixed point. Our fixed point results are improvements of several known results in literature. As an application, we resolve a fractional differential equation.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference52 articles.

1. H. Afshari, H. Shojaat, M. S. Moradi, Existence of the positive solutions for a tripled system of fractional differential equations via integral boundary conditions, Results in Nonlinear Analysis, 4 (2021) No. 3, 186-199 https://doi.org/10.53006/rna.938851.

2. H. Afshari, E. Karapinar, A discussion on the existence of positive solutions of the boundary value problems via ψ-Hilfer fractional derivative on b metric spaces, Adv. Differ. Equ. 2020(2020):616. https://doi.org/10.1186/s13662-020-03076-z.

3. R. P. Agarwal, E. Karapinar, Interpolative Rus-Reich-Ciric type contractions via simulation functions, An. St. Univ. Ovidius Constanta, Ser. Mat., 27(3)(2019), 137-152.

4. J. Ahmad, A. E. Al-Mazrooei, Y. J. Cho, Y. O. Yang, Fixed point results for generalized Θ-contractions, J. Nonlinear Sci. Appl. 10(2017), 2350-2358.

5. S. Alizadeh, D. Baleanu, S. Rezapour, Analyzing transient response of the parallel RCL circuit by using the Caputo-Fabrizio fractional derivative, Adv. Differ. Equ. (2020) 2020:55.

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Unified interpolative of a Reich-Rus-Ćirić-type contraction in relational metric space with an application;Journal of Inequalities and Applications;2024-07-25

2. Fixed Point Results via Orthogonal (α − − )-Contraction in Orthogonal Complete Metric Space;Symmetry;2023-09-14