Results 101 to 110 of about 3,521 (216)

Closed form solutions of two time fractional nonlinear wave equations

Results in Physics, 2018
In this article, we investigate the exact traveling wave solutions of two nonlinear time fractional wave equations. The fractional derivatives are described in the sense of conformable fractional derivatives. In addition, the traveling wave solutions are
M. Ali Akbar, Norhashidah Hj. Mohd. Ali, Ripan Roy   +2 more
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Optimal control of fractional systems: a diffusive formulation [PDF]

, 2010
Optimal control of fractional linear systems on a finite horizon can be classically formulated using the adjoint system. But the adjoint of a causal fractional integral or derivative operator happens to be an anti-causal operator: hence, the adjoint ...
Matignon, Denis
core  

Oscillatory and Asymptotic Criteria for a Fifth-Order Fractional Difference Equation

Fractal and Fractional
In this paper, using the properties of the conformable fractional difference and fractional sum, we initially establish some oscillatory and asymptotic criteria for a fifth-order fractional difference equation.
Qinghua Feng
doaj   +1 more source

On Efficient Method for System of Fractional Differential Equations

Advances in Difference Equations, 2011
The present study introduces a new version of homotopy perturbation method for the solution of system of fractional-order differential equations. In this approach, the solution is considered as a Taylor series expansion that converges rapidly to the ...
Jamil Muhammad, Khan NajeebAlam, Ara Asmat, Khan Nasir-Uddin   +3 more
doaj  

A NEW NUMERICAL TECHNIQUE FOR SOLVING <i>ψ</i>-FRACTIONAL RICCATI DIFFERENTIAL EQUATIONS

, 2022
Amjid Ali, Teruya Minamoto
openalex   +1 more source

On some explicit solitary wave patterns for a generalized nonlinear reaction–diffusion equation with conformable temporal fractional derivative

Partial Differential Equations in Applied Mathematics
Soliton solutions of a (2+1)-dimensional reaction–diffusion problem are derived in the present work using the generalized Riccati equation mapping method.
Muhammad Jawaz, Jorge E. Macías-Díaz, Syed A. Aqeel, Nauman Ahmed, Muhammad Z. Baber, María G. Medina-Guevara   +5 more
doaj   +1 more source

Anharmonic Solutions to the Riccati equation and elliptic modular functions

We study algebraic solutions of the Riccati equation over the field of rational functions $\mathbb C(t)$, and over the elliptic function field $\mathbb C(\wp,\wp^\prime)$
Sebbar, Ahmed, Wone, Oumar
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Solution of Fractional Order Riccati Differential Equations Using Euler Wavelet Method [PDF]

Scientia Iranica, 2018
The fractional-order differential equations (FDEs) have the ability to model the real-life phenomena better in a variety of applied mathematics, engineering disciplines including diffusive transport, electrical networks, electromagnetic theory, probability and so forth.
openaire   +2 more sources

Dynamical Analysis and Soliton Solutions of the Truncated M-Fractional FitzHugh–Nagumo Equation

Fractal and Fractional
In this paper, we investigate the (1 + 1)-dimensional nonlinear truncated M-fractional FitzHugh–Nagumo model. The main objective is to analyze the dynamical behavior and obtain exact solutions for the model.
Beenish, Abdulaziz Khalid Alsharidi
doaj   +1 more source

Global differential geometry: An introduction for control engineers [PDF]

The basic concepts and terminology of modern global differential geometry are discussed as an introduction to the Lie theory of differential equations and to the role of Grassmannians in control systems analysis.
Doolin, B. F., Martin, C. F.
core   +1 more source