404 research outputs found
On the fractional-order logistic equation
No full textAbstractThe topic of fractional calculus (derivatives and integrals of arbitrary orders) is enjoying growing interest not only among mathematicians, but also among physicists and engineers (see [E.M. El-Mesiry, A.M.A. El-Sayed, H.A.A. El-Saka, Numerical methods for multi-term fractional (arbitrary) orders differential equations, Appl. Math. Comput. 160 (3) (2005) 683–699; A.M.A. El-Sayed, Fractional differential–difference equations, J. Fract. Calc. 10 (1996) 101–106; A.M.A. El-Sayed, Nonlinear functional differential equations of arbitrary orders, Nonlinear Anal. 33 (2) (1998) 181–186; A.M.A. El-Sayed, F.M. Gaafar, Fractional order differential equations with memory and fractional-order relaxation–oscillation model, (PU.M.A) Pure Math. Appl. 12 (2001); A.M.A. El-Sayed, E.M. El-Mesiry, H.A.A. El-Saka, Numerical solution for multi-term fractional (arbitrary) orders differential equations, Comput. Appl. Math. 23 (1) (2004) 33–54; A.M.A. El-Sayed, F.M. Gaafar, H.H. Hashem, On the maximal and minimal solutions of arbitrary orders nonlinear functional integral and differential equations, Math. Sci. Res. J. 8 (11) (2004) 336–348; R. Gorenflo, F. Mainardi, Fractional calculus: Integral and differential equations of fractional order, in: A. Carpinteri, F. Mainardi (Eds.), Fractals and Fractional Calculus in Continuum Mechanics, Springer, Wien, 1997, pp. 223–276; D. Matignon, Stability results for fractional differential equations with applications to control processing, in: Computational Engineering in System Application, vol. 2, Lille, France, 1996, p. 963; I. Podlubny, A.M.A. El-Sayed, On Two Definitions of Fractional Calculus, Solvak Academy of science-institute of experimental phys, ISBN: 80-7099-252-2, 1996. UEF-03-96; I. Podlubny, Fractional Differential Equations, Academic Press, 1999] for example). In this work we are concerned with the fractional-order logistic equation. We study here the stability, existence, uniqueness and numerical solution of the fractional-order logistic equation
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No full textTexto paralelo en euskera y español.Dialecto . texto en euskera occidental -- vizcaínoS. XX -- Periodo : último euskera modernoEuskalkia : mendebalekoa -- bizkaieraXX. md. -- Aroa : azken euskara modernoaDigitalización Vitoria-Gasteiz Fundación Sancho el Sabio 200
Existence of uniformly stable solutions of nonautonomous discontinuous dynamical systems
No full textAbstractWe are concerned here with the existence of uniformly Lyapunov stable integrable solution of linear and nonlinear nonautonomous discontinuous dynamical systems
Numerical Solutions for Nonlocal Problem of Partial Differential Equations with Deviated Boundary Conditions
No full textIn this work, we propose a model of nonlocal partial differential equation (PDE) with deviated type function in the boundary condition. This model is solved numerically by finite difference method (FDM) using variable space grid (VSG) technique. The results obtained by this method are in a good agreement with the solution of the corresponding rectangular domain problem. Also, we investigated the stability analysis of problem technique by using von-Neumann method
Existence results for nonlinear quadratic functional integral equations of fractional orders
No full textOn a nonlocal boundary value problem of a coupled system of Volterra functional integro-dierential equations.
No full textIn this paper, we study the existence of a unique solution for a nonlocal boundary- value problem of coupled system of Volterra functional integro-dierential equations
Integrable solutions for quadratic Hammerstein and quadratic Urysohn functional integral equations
No full textThe existence of positive monotonic solutions, in the class of continuous functions, for some nonlinear quadratic integral equation have been studied in [3], [6], [7] and [9]. Here We are concerning with the existence of positive monotonic solutions for the quadratic Hammerstein and quadratic Urysohn functional integral equations
On some dynamical properties of the discontinuous dynamical system represents the Logistic equation with different delays
No full textA coupled system of fractional order integral equations in reflexive Banach spaces
No full textWe present an existence theorem for at least one weak solution for a coupled system of integral equations of fractional order in reflexive Banach spaces relative to the weak topology
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