Fixed point theorems via auxiliary functions with applications to two-term fractional differential equations with nonlocal boundary conditions-Reference-Cited by-同舟云学术

Fixed point theorems via auxiliary functions with applications to two-term fractional differential equations with nonlocal boundary conditions

Published:2023 Issue:3 Volume:8 Page:7394-7418
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Suebcharoen Teeranush¹²,Atiponrat Watchareepan¹²,Chaichana Khuanchanok¹²

Affiliation:

1. Advanced Research Center for Computational Simulation, Chiang Mai University, Chiang Mai 50200, Thailand

2. Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand

Abstract

<abstract><p>In this study, the $ (h $-$ \varphi)_R $ and $ (h $-$ \varphi)_M $-contractions with two metrics endowed with a directed graph are examined using auxiliary functions. We propose a set of criteria that guarantees the existence of common fixed points for our contractions. This leads to a generalization of previous results in the literature. Towards our accomplishments, we establish affirmative results that demonstrate solutions to a class of nonlinear two-term fractional differential equations with nonlocal boundary conditions. To further corroborate our major findings, we also provide instances.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference53 articles.

1. C. Tian, T. Jin, X. Yang, Q. Liu, Reliability analysis of the uncertain heat conduction modelImage 1, Comput. Math. Appl., 119 (2022), 131–140. https://doi.org/10.1016/j.camwa.2022.05.033

2. T. Y. Wu, Long waves in ocean and coastal waters, J. Eng. Mech., 107 (1981), 501–522. https://doi.org/10.1061/JMCEA3.0002722

3. L. Lay, H. Kanamori, C. Ammon, M. Nettles, S. Ward, R. Aster, et al., The great Sumatra-Andaman earthquake of 26 December 2004, Science, 308 (2004), 1127–1133. https://doi.org/10.1126/science.1112250

4. R. C. Smith, J. Hill, G. S. Collins, M. D. Piggott, S. C. Kramer, S. D. Parkinson, et al., Comparing approaches for numerical modelling tsunami generation by deformable submarine slides, Ocean Model., 100 (2016), 125–140. https://doi.org/10.1016/j.ocemod.2016.02.007

5. B. Wongsaijai, K. Poochinapan, Optimal decay rates of the dissipative shallow water waves modeled by coupling the RosenauRLW equation and the Rosenau-Burgers equation with power of nonlinearity, Appl. Math. Comput., 405 (2021), 126202. https://doi.org/10.1016/j.amc.2021.126202

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. On fixed point and an application of $ C^* $-algebra valued $ (\alpha, \beta) $-Bianchini-Grandolfi gauge contractions;AIMS Mathematics;2024

2. Common Fixed Point Theorems for Novel Admissible Contraction with Applications in Fractional and Ordinary Differential Equations;Mathematics;2023-08-01