Zobrazeno 1 - 10
of 224
pro vyhledávání: '"fractional power series"'
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-16 (2024)
Abstract In this study, an accurate analytical solution is presented for fuzzy FPDEs. It is done by using a novel method called the Laplace-residual power series (LRPSM) to build a series solution to the given problems. The fundamental instruments of
Externí odkaz:
https://doaj.org/article/b3f72f7a33b345f1a0a5933c72bda3d0
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
Publikováno v:
Symmetry, Vol 16, Iss 9, p 1137 (2024)
The fractional advection–dispersion equation is used in groundwater hydrology for modeling the movements of contaminants/solute particles along with flowing groundwater at the seepage velocity in porous media. This model is used for the prediction
Externí odkaz:
https://doaj.org/article/f5a58f213f64413dac0fd8d8df646e82
Publikováno v:
Symmetry, Vol 16, Iss 9, p 1152 (2024)
This research focuses on finding multiple solutions (MSs) to nonlinear fractional boundary value problems (BVPs) through a new development, namely the predictor Laplace fractional power series method. This method predicts the missing initial values b
Externí odkaz:
https://doaj.org/article/2e416122236540888665e522b672a4a7
Autor:
Aghalaya S. Vatsala, Govinda Pageni
Publikováno v:
AppliedMath, Vol 3, Iss 4, Pp 730-740 (2023)
Computing the solution of the Caputo fractional differential equation plays an important role in using the order of the fractional derivative as a parameter to enhance the model. In this work, we developed a power series solution method to solve a li
Externí odkaz:
https://doaj.org/article/1172e8929bc3428eaebfad2efbb7f547
Publikováno v:
Nonlinear Engineering, Vol 12, Iss 1, Pp 1985-92 (2023)
In this study, the Caputo-type fractional time-derivative is simulated by inserting a proportional time-delay into the field function of the perturbed-KdV equation. Two effective methods have been adapted to obtain analytical solutions for this model
Externí odkaz:
https://doaj.org/article/316538da11b54187b7a60264edac6422
Publikováno v:
Mathematics, Vol 12, Iss 7, p 961 (2024)
The α-fractional power moduli series are introduced as a generalization of α-fractional power series and the structural properties of these series are investigated. Using the fractional Taylor’s formula, sufficient conditions for a function to be
Externí odkaz:
https://doaj.org/article/e1370dc11f214efea336f49b16c85082
Publikováno v:
Alexandria Engineering Journal, Vol 62, Iss , Pp 47-62 (2023)
In this article a new approach in solving time fractional partial differential equations (TFPDEs) is introduced, that is, the ARA-residual power series method. The main idea of this technique, depends on applying the ARA-transform and using Taylor's
Externí odkaz:
https://doaj.org/article/13942482f31541a9a92b88ca41448ae3
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