Zobrazeno 1 - 10
of 64
pro vyhledávání: '"Ahmad El-Ajou"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 5, Pp 10536-10560 (2024)
Our aim of this paper was to present the accurate analytical approximate series solutions to the time-fractional Schrödinger equations via the Caputo fractional operator using the Laplace residual power series technique. Furthermore, three important
Externí odkaz:
https://doaj.org/article/b9ac69d5fa4445b3a23f2e7b33180c26
Publikováno v:
AIMS Mathematics, Vol 9, Iss 4, Pp 9641-9681 (2024)
This paper aims to explore and examine a fractional differential equation in the fuzzy conformable derivative sense. To achieve this goal, a novel analytical algorithm is formulated based on the Laplace-residual power series method to solve the fuzzy
Externí odkaz:
https://doaj.org/article/baa2c352f91e4195ab7bff992f437262
Autor:
Tareq Eriqat, Moa’ath N. Oqielat, Rania Saadeh, Ahmad El-Ajou, Ahmad Qazza, Mohammed Abu Saleem
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 10, Iss , Pp 100737- (2024)
The presented paper aims to investigate, examine, and analyze the nonlinear time-fractional evolution partial differential equations (TFNE-PDEs) in the sense of Caputo essential in numerous nonlinear wave propagation phenomena. To achieve this, the L
Externí odkaz:
https://doaj.org/article/eb3be24249a8404ebc24240fdec42e9a
Publikováno v:
AIMS Mathematics, Vol 8, Iss 9, Pp 19950-19970 (2023)
This study presents a new and attractive analytical approach to treat systems with fractional multi-pantograph equations. We introduce the solution as a rapidly-converging series using the Laplace residual power series technique. This method controls
Externí odkaz:
https://doaj.org/article/a0568e3d5be34e518258238f44a7bd11
Publikováno v:
AIMS Mathematics, Vol 8, Iss 8, Pp 19297-19312 (2023)
The neutron diffusion equation (NDE) is one of the most important partial differential equations (PDEs), to describe the neutron behavior in nuclear reactors and many physical phenomena. In this paper, we reformulate this problem via Caputo fractiona
Externí odkaz:
https://doaj.org/article/3930a0b282964ff08b4989f5bbc2f827
Publikováno v:
Journal of Applied Mathematics, Vol 2024 (2024)
The KdV-Burgers equation is one of the most important partial differential equations, established by Korteweg and de Vries to describe the behavior of nonlinear waves and many physical phenomena. In this paper, we reformulate this problem in the sens
Externí odkaz:
https://doaj.org/article/aba8d6500625483dbf4fa7d0408e81c9
Publikováno v:
Frontiers in Physics, Vol 11 (2023)
A novel analytical solution to the neutron diffusion equation is proposed in this study using the residual power series approach for both spherical and hemispherical fissile material reactors. Various boundary conditions are investigated, including z
Externí odkaz:
https://doaj.org/article/1f979abee3f34fd1b97a8c168c754b0f
Publikováno v:
AIMS Mathematics, Vol 8, Iss 1, Pp 1713-1736 (2023)
In this research, a hybrid method, enbd the Laplace Residual Power Series technique, is adapted to find series solutions to a time-fractional model of Navier-Stokes equations in the sense of Caputo derivative. We employ the proposed method to constru
Externí odkaz:
https://doaj.org/article/c8b297e394e44391a494639a0112a9eb
Publikováno v:
Alexandria Engineering Journal, Vol 61, Iss 12, Pp 10551-10562 (2022)
In this paper, a reliable analytical solution for a class of the fractional Lane-Emden equations is prepared. A new technique, the Laplace-residual power series, is employed to construct a series solution to the equations. The concepts of Laplace tra
Externí odkaz:
https://doaj.org/article/0a7dc917974b4923833155e54540fde8
Publikováno v:
Frontiers in Physics, Vol 11 (2023)
This article circumvents the Laplace transform to provide an analytical solution in a power series form for singular, non-singular, linear, and non-linear ordinary differential equations. It introduces a new analytical approach, the Laplace residual
Externí odkaz:
https://doaj.org/article/d78b0135e2fb4fda98bad0e00c9e240c