Zobrazeno 1 - 10
of 91
pro vyhledávání: '"generalized Gronwall inequality"'
Publikováno v:
Arab Journal of Basic and Applied Sciences, Vol 31, Iss 1, Pp 225-241 (2024)
AbstractIn this paper, we delve into the analysis of the existence and stability concerning the [Formula: see text]-Mittag-Leffler-Ulam-Hyers within a particular class of coupled systems related to boundary value problems. These problems entail impli
Externí odkaz:
https://doaj.org/article/7007b0a005724420be493d7546adddf9
Autor:
Weerawat Sudsutad, Jutarat Kongson, Chatthai Thaiprayoon, Nantapat Jarasthitikulchai, Marisa Kaewsuwan
Publikováno v:
AIMS Mathematics, Vol 9, Iss 9, Pp 24443-24479 (2024)
This paper establishes a novel generalized Gronwall inequality concerning the $ \psi $-Hilfer proportional fractional operators. Before proving the main results, the solution of the linear nonlocal coupled $ \psi $-Hilfer proportional Cauchy-type sys
Externí odkaz:
https://doaj.org/article/dcf2036c6c27418cbf3b98bd19d053d0
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-45 (2024)
Abstract The present research work investigates some new results for a fractional generalized Sturm–Liouville–Langevin (FGSLL) equation involving the Ψ-Caputo fractional derivative with a modified argument. We prove the uniqueness of the solutio
Externí odkaz:
https://doaj.org/article/422b28e5ab1d419188a50f043baf73c3
Publikováno v:
AIMS Mathematics, Vol 8, Iss 12, Pp 30353-30373 (2023)
In this paper, using the properties of the phase space on infinite delay, generalized Gronwall inequality and fixed point theorems, the existence and controllability results of neutral fractional functional differential equations with multi-term Capu
Externí odkaz:
https://doaj.org/article/8e27a6d80ff5417c88c805bf5f56b458
The aim of this paper is to obtain the existence of unique solution to nonlinear Cauchy-type problem. We consider the implicit nonlinear Cauchy-type problem with $\psi$-Hilfer fractional derivative. The Banach fixed point theorem is used to obtain th
Externí odkaz:
http://arxiv.org/abs/1909.13681
Publikováno v:
Journal of Inequalities and Applications, Vol 2023, Iss 1, Pp 1-35 (2023)
Abstract In this paper, we propose a generalized Gronwall inequality in the context of the ψ-Hilfer proportional fractional derivative. Using Picard’s successive approximation and the definition of Mittag–Leffler functions, we construct the repr
Externí odkaz:
https://doaj.org/article/58e17987c8d14a24bc72610d9daa7171
Autor:
Qi Wang, Shumin Zhu
Publikováno v:
AIMS Mathematics, Vol 7, Iss 11, Pp 20370-20380 (2022)
In this paper, a Gronwall inequality involving ψ-fractional integral operator is obtained as a generalization of [23]. An example is listed to show the applications.
Externí odkaz:
https://doaj.org/article/37e39d09e835434a930ccbd452173e3a
Akademický článek
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Akademický článek
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Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-10 (2021)
Abstract This paper focuses on the finite-time stability of linear stochastic fractional-order systems with time delay for α ∈ ( 1 2 , 1 ) $\alpha \in (\frac{1}{2},1)$ . Under the generalized Gronwall inequality and stochastic analysis techniques,
Externí odkaz:
https://doaj.org/article/6d953c08dcb74d3ab03875193cbf7a56