Results 81 to 90 of about 1,010 (188)
Engineering Reports, Volume 8, Issue 2, February 2026.This paper introduces the Fractional Novel Analytical Method (FNAM), a Taylor‐series‐based technique for approximating nonlinear fractional differential‐difference equations. Built on the Caputo derivative, FNAM achieves rapid convergence without relying on Adomian polynomials, perturbation schemes, or transform methods.
Uroosa Arshad +3 more
wiley +1 more source
Wintner-type nonoscillation theorems for conformable linear Sturm-Liouville differential equations [PDF]
Opuscula MathematicaIn this study, we addressed the nonoscillation of th Sturm-Liouville differential equation with a differential operator, which corresponds to a proportional-derivative controller. The equation is a conformable linear differential equation. A Wintner-type
Kazuki Ishibashi
doaj +1 more source
The Riccati Differential Equation and a Diffusion-Type Equation
, 2008 12 pages, no ...
Suazo, Erwin +2 more
openaire +3 more sources
Riccati Differential Equations [PDF]
Journal of Dynamic Systems, Measurement, and Control, 1975 William T. Reid, David Jordan
openaire +1 more source
On solving a linear control problem
Қарағанды университетінің хабаршысы. Математика сериясы, 2019 The problem of a linear regulator is considered. There is a system of linear differential equations with a quadratic control quality criterion. The method of dynamic programming is applied to the solution of the considered linear problem.
M. Muhtarov, A.H. Kalidolday
doaj +1 more source
Oscillation criteria for nonlinear fractional differential equation with damping term
Open Physics, 2016 In this paper, we study the oscillation of solutions to a non-linear fractional differential equation with damping term. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative. By using a variable transformation, a
Bayram Mustafa +2 more
doaj +1 more source
Oscillation of a time fractional partial differential equation
Electronic Journal of Qualitative Theory of Differential Equations, 2014 We consider a time fractional partial differential equation subject to the Neumann boundary condition. Several sufficient conditions are established for oscillation of solutions of such equation by using the integral averaging method and a generalized ...
P. Prakash +3 more
doaj +1 more source
Abstract and Applied Analysis, 2013 Some new oscillation criteria for a general class of second-order differential equations with nonlinear damping are shown. Except some general structural assumptions on the coefficients and nonlinear terms, we additionally assume only one sufficient ...
Mervan Pašić
doaj +1 more source
Special solutions of the Riccati equation with applications to the Gross-Pitaevskii nonlinear PDE
Electronic Journal of Differential Equations, 2010 A method for finding solutions of the Riccati differential equation $y' = P(x) + Q(x)y + R(x)y^2$ is introduced. Provided that certain relations exist between the coefficient $P(x)$, $Q(x)$ and $R(x)$, the above equation can be solved in closed form.
Anas Al Bastami +2 more
doaj
Rational Solutions of Riccati-like Partial Differential Equations
Journal of Symbolic Computation, 2001 The rational solutions to Riccati-like partial differential equations (for Riccati equations [see \textit{W. T. Reid}, Riccati differential equations, New York-London: Academic Press (1972; Zbl 0254.34003)]) are considered. These systems arise in a similar way as Riccati ODEs.
Li, Ziming, Schwarz, Fritz
openaire +2 more sources