Zobrazeno 1 - 10
of 5 497
pro vyhledávání: '"fractional differential equation"'
Autor:
Mariam Al-Mazmumy, Maryam Ahmed Alyami, Mona Alsulami, Asrar Saleh Alsulami, Saleh S. Redhwan
Publikováno v:
AIMS Mathematics, Vol 9, Iss 11, Pp 30548-30571 (2024)
The present study introduced modifications to the standard Adomian decomposition method (ADM) by combining the Taylor series with orthogonal polynomials, such as Legendre polynomials and the first and second kinds of Chebyshev polynomials. These impr
Externí odkaz:
https://doaj.org/article/1fa076d3dd434db194bab6134d14fca8
Autor:
Zafer Bekiryazici
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-26 (2024)
Abstract In this study, an ordinary-deterministic equation system modeling the spread dynamics of malware under mutation is analyzed with fractional derivatives and random variables. The original model is transformed into a system of fractional-rando
Externí odkaz:
https://doaj.org/article/b47c0ee78a584b5a806dccb266a5765f
Publikováno v:
Arab Journal of Basic and Applied Sciences, Vol 31, Iss 1, Pp 154-164 (2024)
AbstractIn this paper, we present two collocation methods utilizing subdivision schemes and Bernstein polynomials as their basis functions to solve Caputo-type fractional differential equations. These methods transform fractional differential equatio
Externí odkaz:
https://doaj.org/article/075894d7ab7646fba71ef185f7f87539
Autor:
Zhao Meimei
Publikováno v:
Nonlinear Engineering, Vol 13, Iss 1, Pp 043102-106 (2024)
In this study, the fractional variational iteration method using He’s polynomials is employed for constructing semi-analytical solutions of the fractional-in-time generalized nonlinear Schrödinger equation involving Jumarie’s modified Riemann–
Externí odkaz:
https://doaj.org/article/41945b04bf1544b894dee1c4b6c297e1
Publikováno v:
Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-14 (2024)
Abstract In this study, we prove the existence and uniqueness of a solution to a g-Caputo fractional differential equation with new boundary value conditions utilizing the combined Wardowski–Mizoguchi–Takahashi contractions via reduction of this
Externí odkaz:
https://doaj.org/article/f82ad4d4fc3e431d941cb160b5b27697
Publikováno v:
Boundary Value Problems, Vol 2024, Iss 1, Pp 1-21 (2024)
Abstract In this paper, the coupled system of sequential ψ-Hilfer fractional boundary value problems with non-instantaneous impulses is investigated. The existence results of the system are proved by means of topological degree theory. An example is
Externí odkaz:
https://doaj.org/article/28f50b40c56644c5b8cce98df02a9518
Autor:
Nishi Gupta, Md. Maqbul
Publikováno v:
Rendiconti di Matematica e delle Sue Applicazioni, Vol 45, Iss 3-4, Pp 201-227 (2024)
This manuscript deals with a hyperbolic partial differential equation with fractional differential and fractional integral forcing functions. Semidiscretization method is used to establish a unique strong solution and also approximate solutions. Erro
Externí odkaz:
https://doaj.org/article/ed18a5e030bd46ab986211c2c0dee9c4