Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Zeyad Al-Zhour"'
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:
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
Autor:
Zeyad Al-Zhour, Ahmad El-Ajou, Moa’ath N. Oqielat, Osama N. Al-Oqily, Shadi Salem, Mousa Imran
Publikováno v:
Fuzzy Information and Engineering, Vol 14, Iss 2, Pp 182-211 (2022)
Purpose: We construct the analytical approximate resiual power fuzzy series solutions of fuzzy conformable fractional differential equations in an [Formula: see text]-level depiction in the sense of strongly generalized [Formula: see text]-fuzzy conf
Externí odkaz:
https://doaj.org/article/3abab210656e4f6893e77ab2893a8a77
Autor:
Zeyad Al-Zhour
Publikováno v:
Alexandria Engineering Journal, Vol 61, Iss 2, Pp 1055-1067 (2022)
In this work, we discuss the controllability and observability behaviors of a non-homogeneous conformable fractional dynamical system (C-FDS) based on the conformable fractional exponential matrix (C-FEM) and fractional Grammian matrix (FGM). Moreove
Externí odkaz:
https://doaj.org/article/2902399cf025487c84f66910f6811bce
Publikováno v:
Ain Shams Engineering Journal, Vol 12, Iss 1, Pp 927-933 (2021)
In this paper, we proceed on to develop the classical Natural transform to fractional order in the sense of conformable derivative and set the basic concepts in this new interesting fractional transform version. The conformable fractional Natural tra
Externí odkaz:
https://doaj.org/article/63a80eac8ca9465ca235666f19b5332b
Publikováno v:
Alexandria Engineering Journal, Vol 59, Iss 4, Pp 2101-2114 (2020)
In the present paper, we present the exact analytical solution of the time-fractional Schrödinger equation (TFSE) in the sense of conformable fractional derivative (Co-FD) based on the residual power series method (RPSM). Moreover, we make graphical
Externí odkaz:
https://doaj.org/article/60195b59ae844895ad3ace40c38fb853
Publikováno v:
AIMS Mathematics, Vol 5, Iss 4, Pp 3201-3222 (2020)
The essential objective of this work is to implement Adam Bashforth’s Moulton (ABM) and Haar wavelet method (HWM) to solve fractional chemical kinetics and another problem that relates the condensations of carbon dioxide (CO2) and phenyl glycidyl e
Externí odkaz:
https://doaj.org/article/628063eb944244c2b905c59824b9068d
Publikováno v:
Alexandria Engineering Journal, Vol 58, Iss 4, Pp 1413-1420 (2019)
In the present paper, we use efficient and simple algorithms of the fractional power series and Adomain polynomial methods that provide effective tools for solving such linear and nonlinear fractional differential equations in the sense of conformabl
Externí odkaz:
https://doaj.org/article/b6663849117247638ee534d2d0bddbbd
Publikováno v:
Fractal and Fractional, Vol 6, Iss 11, p 631 (2022)
In this paper, we present the series solutions of the nonlinear time-fractional coupled Boussinesq-Burger equations (T-FCB-BEs) using Laplace-residual power series (L-RPS) technique in the sense of Caputo fractional derivative (C-FD). To assert the e
Externí odkaz:
https://doaj.org/article/e478a05de44c4d14b43b304bc5d9d9de
Publikováno v:
International Journal of Analysis and Applications, Vol 17, Iss 6, Pp 1019-1033 (2019)
In this paper, we generalize the formula of Sumudu transform to the conformable fractional order and some interesting and important rules of this transform and conformable fractional Laplace transform are derived and discussed. Moreover, we present t
Externí odkaz:
https://doaj.org/article/4ed1d53d0b0747868a12767a1c75f93c