Results 71 to 80 of about 40,676 (212)
Study on the variable coefficient space–time fractional Korteweg de Vries equation
Ain Shams Engineering Journal, 2018 In this paper, the fractional Riccati method is modified for solving nonlinear variable coefficients fractional differential equations involving modified Riemann–Liouville derivative.
Emad A-B. Abdel-Salam, Gamal F. Hassan
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A direct approach to linear-quadratic stochastic control [PDF]
Opuscula Mathematica, 2017 A direct approach is used to solve some linear-quadratic stochastic control problems for Brownian motion and other noise processes. This direct method does not require solving Hamilton-Jacobi-Bellman partial differential equations or backward stochastic ...
Tyrone E. Duncan, Bozenna Pasik-Duncan
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, 2013 A weighted summation of Integral of Time Multiplied Absolute Error (ITAE) and Integral of Squared Controller Output (ISCO) minimization based time domain optimal tuning of fractional-order (FO) PID or PI{\lambda}D{\mu} controller is proposed in this ...
Das, Saptarshi +4 more
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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
Abstract and Applied Analysis, 2014 The Bäcklund transformation of fractional Riccati equation with nonlinear superposition principle of solutions is employed to establish the infinite sequence solutions of nonlinear fractional partial differential equations in the sense of modified ...
Bin Lu
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Engineering Reports, Volume 8, Issue 2, February 2026.Explore the soliton solutions, stability, and chaotic characteristics of the M fractional (3+1)‐dimensional generalized B‐type Kadomtsev–Petviashvili (gBKP) equation, where a Galilean transformation is performed to get the related system of equations.
Md. Habibul Bashar +5 more
wiley +1 more source
A new operational matrix based on Bernoulli polynomials [PDF]
, 2014 In this research, the Bernoulli polynomials are introduced. The properties of these polynomials are employed to construct the operational matrices of integration together with the derivative and product.
Kazem, S. +3 more
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Multiscale differential Riccati equations for linear quadratic regulator problems [PDF]
, 2018 We consider approximations to the solutions of differential Riccati equations in the context of linear quadratic regulator problems, where the state equation is governed by a multiscale operator.
Målqvist, Axel +2 more
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Multi‐Objective Robust Controller Synthesis With Integral Quadratic Constraints in Discrete‐Time
International Journal of Robust and Nonlinear Control, Volume 36, Issue 3, Page 935-954, February 2026.ABSTRACT This article presents a novel framework for the robust controller synthesis problem in discrete‐time systems using dynamic Integral Quadratic Constraints (IQCs). We present an algorithm to minimize closed‐loop performance measures such as the ℋ∞$$ {\mathscr{H}}_{\infty } $$‐norm, the energy‐to‐peak gain, the peak‐to‐peak gain, or a ...
Lukas Schwenkel +4 more
wiley +1 more source
Darboux evaluations of algebraic Gauss hypergeometric functions
, 2012 This paper presents explicit expressions for algebraic Gauss hypergeometric functions. We consider solutions of hypergeometric equations with the tetrahedral, octahedral and icosahedral monodromy groups.
Vidunas, Raimundas
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