Zobrazeno 1 - 10
of 1 069
pro vyhledávání: '"FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS"'
Publikováno v:
AIMS Mathematics, Vol 9, Iss 12, Pp 33442-33466 (2024)
This paper presents an innovative approach to solve $ \mathit{q} $-fractional partial differential equations through a combination of two semi-analytical techniques: The Residual Power Series Method (RPSM) and the Homotopy Analysis Method (HAM). Both
Externí odkaz:
https://doaj.org/article/fe867cd69acb4629aba398aa701ca19b
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 32674-32695 (2024)
Complex physical occurrences currently need the use of nonlinear fractional partial differential equations. This paper provides a new approach to using the conformable derivative of Atangana to achieve exact travelling wave solutions to the space tim
Externí odkaz:
https://doaj.org/article/723898a62aa14511a64d15b9e3d1ecb4
Publikováno v:
AIMS Mathematics, Vol 9, Iss 10, Pp 28970-29000 (2024)
We investigated a novel stochastic fractional partial differential equation (FPDE) characterized by a mixed operator that integrated the standard Laplacian, the fractional Laplacian, and the gradient operator. The equation was driven by a random nois
Externí odkaz:
https://doaj.org/article/0b9fb2eaf2c140a595cb10ac617ccd73
Autor:
S M Yiasir Arafat, S M Rayhanul Islam
Publikováno v:
Alexandria Engineering Journal, Vol 105, Iss , Pp 70-87 (2024)
The truncated M-fractional Kuralay (TMFK)-II equation is prevalent in the exploration of specific complex nonlinear wave phenomena. Such types of wave phenomena are more applicable in science and engineering. These equations could potentially provide
Externí odkaz:
https://doaj.org/article/190a9567e5d64da6856cf1889fb0430a
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-17 (2024)
Abstract In this paper, we focus on studying a fractional Schrödinger equation of the form { ( − Δ ) s u + V ( x ) u = f ( x , u ) in Ω , u > 0 in Ω , u = 0 in R n ∖ Ω , $$ \textstyle\begin{cases}(-\Delta )^{s}u+V(x)u = f(x,u) &\text{in }\Om
Externí odkaz:
https://doaj.org/article/eded5d61775540f9bfd62b2c9fc7e61d
Publikováno v:
Frontiers in Physics, Vol 12 (2024)
Due to the numerous applications of the Nizhnik-Novikov-Veselov system (NNVS) in fluid mechanics, thus, the current investigation is focused on studying the fractional form of this model to reveal the ambiguity around many nonlinear phenomena that ar
Externí odkaz:
https://doaj.org/article/35b2a24141f4472f9d5f4ec6543858d8
Autor:
Abdulah A. Alghamdi
Publikováno v:
AIMS Mathematics, Vol 9, Iss 8, Pp 23100-23127 (2024)
This research explored optical soliton solutions for the (2+1)-dimensional generalized fractional Kundu-Mukherjee-Naskar equation (gFKMNE), which is a nonlinear model for explaining pulse transmission in communication structures and optical fibers. T
Externí odkaz:
https://doaj.org/article/6a4852d7537346ef8d2701f24f7c0188
Publikováno v:
Open Physics, Vol 22, Iss 1, Pp 448-79 (2024)
This article develops and investigates the behavior of soliton solutions for the spatiotemporal conformable Klein–Gordon equation (CKGE), a well-known mathematical physics model that accounts for spinless pion and de-Broglie waves. To accomplish th
Externí odkaz:
https://doaj.org/article/ed6b1f4104794fcf86708b1ef3eaa4ca
Publikováno v:
Ain Shams Engineering Journal, Vol 15, Iss 10, Pp 102935- (2024)
Nonlinear fractional partial differential equations can explain a vast scope of engineering and science, like atomic physics, wireless transmission, nonlinear optics, acoustics, economics, materials science, control theory, plasma physics, quantum pl
Externí odkaz:
https://doaj.org/article/85822cd1df62441fbfd9ac7075af5467
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 11, Iss , Pp 100832- (2024)
The study of soliton solutions for Nonlinear Fractional Partial Differential Equations (NFPDEs) has gained prominence recently because of its ability to realistically recreate complex physical processes. Numerous mathematical techniques have been dev
Externí odkaz:
https://doaj.org/article/9fd9be2300074408ad9f5b886c2d9631