Web11 de jul. de 2024 · Fractional calculus is widely used in engineering fields. In complex mechanical systems, multi-body dynamics can be modelled by fractional differential-algebraic equations when considering the fractional constitutive relations of some materials. In recent years, there have been a few works about the numerical method of … Web15 de mai. de 2008 · Graphical results in Fig. 4, Fig. 5 are in very good agreement with the results obtained in [7] using the Adomian decomposition method.. 4.. ConclusionsThis present analysis exhibits the applicability of the differential transform method to solve systems of differential equations of fractional order.
Solutions of some typical nonlinear differential equations with …
Web13 de abr. de 2024 · This article implements an efficient analytical technique within three different operators to investigate the solutions of some fractional partial differential equations and their systems. The generalized schemes of the proposed method are derived for every targeted problem under the influence of each fractional … Web15 de jun. de 2007 · Thus generalizing fractional order systems (FOS) to include them is important. The standard approach is fractional order partial differential equations. However since most biologically interesting systems are nonlinear [10], one gets fractional order nonlinear partial differential equations whose existence and uniqueness has not … how big of a pork loin for 12 people
Existence, uniqueness and stability of fuzzy fractional differential ...
Web31 de mar. de 2024 · In this paper, the solutions of some typical nonlinear fractional differential equations are discussed, and the implicit analytical solutions are obtained. The fractional derivative concerned here is the Caputo-Fabrizio form, which has a nonsingular kernel. The calculation results of different fractional orders are compared … Web1 de jan. de 2013 · September 2015 · Journal of Computational and Theoretical Nanoscience. Elsayed A. E. Mohamed. The aim of this paper is to apply Elzaki transformation to solve linear fractional-order differential ... WebFractional differential equations; Riemann-Liouville fractional derivative; Caputo fractional derivative; Shehu transform. MSC 2010 No.: 34A08, 35A22, 33E12, 35C10 926. 1 Khalouta and Kadem: Inverse Fractional Shehu Transform Method Published by Digital Commons @PVAMU, 2024. AAM: Intern. how big of a pot does a lemon tree need