Zobrazeno 1 - 10
of 388
pro vyhledávání: '"fractional-order differential equation"'
Autor:
N.A. Endrie, G.F. Duressa
Publikováno v:
Iranian Journal of Numerical Analysis and Optimization, Vol 14, Iss Issue 4, Pp 1247-1279 (2024)
This study presents a numerical approach for solving temporal fractionalorder singularly perturbed parabolic convection-diffusion differential equations with a delay using a uniformly convergent scheme. We use the asymptotic analysis of the problem t
Externí odkaz:
https://doaj.org/article/1260765bfc334577b0ed55fc9af25cb2
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 32157-32181 (2024)
In this paper, we explore advanced methods for solving partial differential equations (PDEs) and systems of PDEs, particularly those involving fractional-order derivatives. We apply the Mohand transform iterative method (MTIM) and the Mohand residual
Externí odkaz:
https://doaj.org/article/2b7e4eda2e314e108a89899804d537ca
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 28895-28905 (2024)
This paper aims to study the existence of solutions for Hadamard fractional nonlocal boundary value problems with mean curvature operator at resonance. Based on the coincidence degree theory, some new results are established. Moreover, an example is
Externí odkaz:
https://doaj.org/article/f2b8223ce44341c6badf6f71a0c4fb6a
Autor:
Meshari Alesemi
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 29269-29295 (2024)
This paper investigated the application of analytical methods, specifically the Mohand transform iterative method (MTIM) and the Mohand residual power series method (MRPSM), to solve the fractional Boussinesq equation. Utilizing the Caputo operator t
Externí odkaz:
https://doaj.org/article/d55636c113d74ef7b464020eeaf989a0
Autor:
Manoj Singh
Publikováno v:
Ain Shams Engineering Journal, Vol 15, Iss 8, Pp 102830- (2024)
In this study, I systematically investigate the fractional Whitham-Broer-Kaup (WBK) system and the fractional Coupled Jaulent-Miodek (CJM) equation under the Caputo fractional calculus. The nonlinear fractional differential equation systems are inves
Externí odkaz:
https://doaj.org/article/e2c8e46c3de443b58311999f2752265e
Autor:
Abd-Elmonem Assmaa, Banerjee Ramashis, Ahmad Shabir, Jamshed Wasim, Nisar Kottakkaran Sooppy, Eid Mohamed R., Ibrahim Rabha W., El Din Sayed M.
Publikováno v:
Open Mathematics, Vol 21, Iss 1, Pp 210-213 (2023)
This article presents a comprehensive literature survey on fractional-order optimal control problems. Fractional-order differential equation is extensively used nowadays to model real-world systems accurately, which exhibit fractal dimensions, memory
Externí odkaz:
https://doaj.org/article/01e678f965524f2d8f5aa92d7ac0c708
Publikováno v:
Open Physics, Vol 21, Iss 1, Pp 825-9 (2023)
In this study, we use a dual technique that combines the Laplace residual power series method (LRPSM) and the new iteration method, both of which are combined with the Caputo operator. Our primary goal is to solve two unique but difficult partial dif
Externí odkaz:
https://doaj.org/article/f8f03b29869c4107b01c5f784836ac83
Publikováno v:
Alexandria Engineering Journal, Vol 80, Iss , Pp 372-382 (2023)
Mathematical formulations are essential tool to show the dynamics that how various diseases spread in the community. Differential equations with fractional or integer order can be utilized to see the effect of the dynamics direct or indirect Leptospi
Externí odkaz:
https://doaj.org/article/2970474214474340bd9b2fb8be50531f
Publikováno v:
Fractal and Fractional, Vol 8, Iss 9, p 538 (2024)
This research explores nonlocal problems associated with fractional diffusion equations and degenerate hyperbolic equations featuring singular coefficients in their lower-order terms. The uniqueness of the solution is established using the energy int
Externí odkaz:
https://doaj.org/article/c0ea3d626ae44a82b0fa7a9f94202ad0
Publikováno v:
Fractal and Fractional, Vol 8, Iss 8, p 478 (2024)
Uncertain fractional differential equations (UFDEs) are excellent tools for describing complicated dynamic systems. This study analyzes the valuation problems of currency options based on UFDE under the optimistic value criterion. Firstly, a new unce
Externí odkaz:
https://doaj.org/article/b68e9ab30bf5433d902c74e9456afae5