相关参考文献
注意：仅列出部分参考文献，下载原文获取全部文献信息。
Article
Engineering, Multidisciplinary
Huaxia Deng et al.
Summary: The paper explores the application of modal-learning displacement-strain transformation in predicting the strain of typical uniform beams. A method based on hypergeometric and Meijer-G functions is proposed for beams with variable cross-sections, showing high prediction accuracy in experiments.
Article
Mathematics, Applied
Safoura Rezaei Aderyani et al.
Summary: We apply CRM based on an alternative FPT to approximate a Delta-Hilfer fractional differential equation. In comparison to the Picard method, we show that the CRM has a better error estimate and provides an economically efficient solution.
Article
Energy & Fuels
Davide Lauria et al.
Summary: This paper proposes a novel intra-hour photovoltaic power forecasting method based on the Caputo derivative and demonstrates its effectiveness through numerical applications. The accuracy of the proposed approach is tested by comparing it with other forecasting models, and it shows a low computational burden without compromising accuracy. This method is beneficial for real-time grid operation strategies and is particularly relevant in the transition to the smart grid paradigm.
Article
Mathematics, Applied
Khaled Mehrez
Summary: The main focus of this paper is to establish new summation formulas of Fox-Wright-type series containing the polygamma functions in terms of some special functions (such as the G-Meijer functions). Several interesting new special cases and consequences of the main results are also considered. Additionally, numerical results are presented to illustrate the findings of this study.
APPLIED NUMERICAL MATHEMATICS
(2022)
Article
Mathematics, Applied
Alireza Ansari et al.
Summary: The paper introduces a new Schlafli-type integral representation for the Wright function using the exponential conformal map for the Hankel contour. The asymptotic expansions of the Wright function for large parameters are found using the steepest descent method and Lagrange expansion. The study of stationary points and associated asymptotic expansions extends the asymptotic expansions of the Bessel functions of the first and second kinds.
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
(2022)
Article
Mathematics, Applied
Lidia Aceto et al.
Summary: This article deals with the efficient computation of the Wright function for expressing solutions of fractional differential equations. The proposed algorithm is based on the inversion of the Laplace transform of a specific expression of the Wright function, and its error analysis is discussed in detail. A code package implementing the algorithm in different programming languages is also presented. Extensive numerical experiments are conducted to validate the theoretical error estimates and the applicability of the proposed method.
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS
(2022)
Article
Mathematics, Interdisciplinary Applications
Kottakkaran Sooppy Nisar et al.
Summary: This article examines the effect of the yellow virus on Capsicum annuum (C. annuum) through whiteflies (Bemisia tabaci) using a fractional model. The model is analyzed through equilibrium points, reproductive number, and local and global stability. The study discusses optimal control methods using the Atangana-Baleanu derivative and Verticillium lecanii (V. lecanii) to reduce the spread of the virus. Numerical results demonstrate that using 60% of V. lecanii can control the spread of the yellow virus in infected whiteflies and C. annuum within 10 days.
FRACTAL AND FRACTIONAL
(2022)
Article
Mathematics, Interdisciplinary Applications
Chokkalingam Ravichandran et al.
Summary: This theory presents and proves the existence of a mild solution for a neutral partial integrodifferential nonlocal system using the techniques of Monch-Krasnosel'skii type of fixed point theorem, a measure of noncompactness, and resolvent operator theory. Sufficient conditions are introduced to confirm the existence of the system, with an illustration of the results provided at the end with a corresponding filter system.
FRACTAL AND FRACTIONAL
(2022)
Article
Mathematics, Applied
K. Kavitha et al.
Summary: This study establishes the approximate controllability of the Hilfer fractional neutral differential inclusions with infinite delay by applying ideas of semigroup theory with fractional order and Dhage's fixed point theorem. The main result proves the approximate controllability of the Hilfer fractional system and extends the study to systems with nonlocal conditions. Theoretical and practical applications are presented to support the effectiveness of the discussion.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2021)
Article
Mathematics
Emile Franc Doungmo Goufo et al.
Summary: The paper discusses the application of self-similarity dynamics in various fields and its significance in chaos theory, proposing a method combining step series switching, Julia's technique, and fractal-fractional dynamic to generate self-similarity dynamics. Experimental results demonstrate the successful generation of self-similarity dynamics in chaotic systems of attractors, with the dynamics of the copies being influenced by model parameters.
MATHEMATICAL MODELLING AND ANALYSIS
(2021)
Article
Mathematics, Applied
Safoura Rezaei Aderyani et al.
Summary: This article introduces a class of fuzzy matrix valued control functions and applies the Radu-Mihet method to investigate the UHML stability for a class of xi-Hilfer fractional differential equations in matrix valued fuzzy Banach spaces. An example is provided to illustrate the UHML stability for a fractional system.
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
(2021)
Article
Mathematics
Safoura Rezaei Aderyani et al.
Summary: By applying the Cadariu-Radu method derived from the Diaz-Margolis theorem, the study explores the existence, uniqueness, and Gauss hypergeometric stability of Omega-Hilfer fractional differential equations on both compact and unbounded domains. The main results for unbounded domains are then presented, along with an example to illustrate the main result for a fractional system.
Article
Mathematics, Interdisciplinary Applications
M. Mohan Raja et al.
CHAOS SOLITONS & FRACTALS
(2020)
Article
Mathematics, Interdisciplinary Applications
M. Mohan Raja et al.
CHAOS SOLITONS & FRACTALS
(2020)
Article
Mathematics
Marina Popolizio
Article
Mathematics, Applied
Zhanpeng Yang et al.
JOURNAL OF MATHEMATICAL INEQUALITIES
(2018)
