Zobrazeno 1 - 10
of 681
pro vyhledávání: '"caputo operator"'
Autor:
Abdul Hamid Ganie, N. S. Alharthi, Adnan Khan, Abdulkafi Mohammed Saeed, Mohd Asif Shah, Saurav Mallik
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-28 (2024)
Abstract In general, integer order differential equations fall short of adequately describing a range of phenomena in many disciplines of science and engineering when compared to fractional order differential equations. In the context of the Caputo f
Externí odkaz:
https://doaj.org/article/302fbc191cd14d57bae02d9f9ad15618
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
Autor:
Musawa Yahya Almusawa, Hassan Almusawa
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 31898-31925 (2024)
This study delved into the analytical investigation of two significant nonlinear partial differential equations, namely the fractional Kawahara equation and fifth-order Korteweg-De Vries (KdV) equations, utilizing advanced analytical techniques: the
Externí odkaz:
https://doaj.org/article/c57fb898412b4dd28948fe5c8b9327e5
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
Publikováno v:
Open Physics, Vol 22, Iss 1, Pp 73-85 (2024)
This investigation explores the analytical solutions to the time-fractional multi-dimensional Navier–Stokes (NS) problem using advanced approaches, namely the Aboodh residual power series method and the Aboodh transform iteration method, within the
Externí odkaz:
https://doaj.org/article/dc0f02abc3b84172b92cc83d2c203c15
Autor:
Ayari, M. Iadh, Thabet, Sabri T.M.
Publikováno v:
Arab Journal of Mathematical Sciences, 2023, Vol. 30, Issue 2, pp. 197-217.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/AJMS-06-2022-0147
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-20 (2024)
Abstract In this work, we use two unique methodologies, the homotopy perturbation transform method and Yang transform decomposition method, to solve the fractional nonlinear seventh-order Kaup–Kupershmidt (KK) problem. The physical phenomena that a
Externí odkaz:
https://doaj.org/article/f284bab453ca44d8a91ac5136c6fd0d9
Autor:
M. Iadh Ayari, Sabri T.M. Thabet
Publikováno v:
Arab Journal of Mathematical Sciences, Vol 30, Iss 2, Pp 197-217 (2024)
Purpose – This paper aims to study qualitative properties and approximate solutions of a thermostat dynamics system with three-point boundary value conditions involving a nonsingular kernel operator which is called Atangana-Baleanu-Caputo (ABC) der
Externí odkaz:
https://doaj.org/article/5036d86716b945468523c86bd91e8edb
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 12, Iss , Pp 100950- (2024)
This manuscript presents enhanced versions of two methods: the natural transform iterative method (NTIM) and the q-homotopy analysis method (q-HAM). These methods harness concepts from Fractional Calculus, particularly leveraging the Caputo fractiona
Externí odkaz:
https://doaj.org/article/0a7974c9f5e642739a66e2a625920347
Publikováno v:
Applied Mathematics in Science and Engineering, Vol 32, Iss 1 (2024)
Mathematical models based on computational fractional orders, employed for accurate modelling of complex dynamic systems, can ensure the implementation of various analytical, numerical and computing methods encompassing their applications to emerging
Externí odkaz:
https://doaj.org/article/6f9d6cfeeed14849be15bf555bc69231