linear fractional differential equations with variable coefficients

... together with Sakthivel and Luo [11,12] investigate the asymptotic stability of the nonlinear impulsive stochastic differential equations and the impulsive stochastic partial differential equations with ... Difference Equations 2011, 2011:48 http://www.advancesindifferenceequations.com/content/2011/1/48 RESEARCH Open Access New criteria for stability of neutral differential equations with variable ... stochastic partial differential equations with delays by the fixed point method Zhou and Zhong [15] study the exponential p-stability of neutral stochastic differential equations with multiple delays

Ngày tải lên: 20/06/2014, 22:20

... be made available soon Extremal solutions for certain type of fractional differential equations with maxima Advances in Difference Equations 2012, 2012:7 doi:10.1186/1687-1847-2012-7 Rabha W Ibrahim ... mathematical treatises on fractional differential equations the Riemann–Liouville approach to the notion of the fractional derivative is normally used [3–5], the Caputo fractional derivative often ... point theorem to establish the existence of extremal solutions for fractional differential equations with maxima Introduction Fractional calculus has become an exciting new mathematical method

Ngày tải lên: 21/06/2014, 17:20

... doi:10.1155/2008/407352 Research Article Fixed Points and Stability in Neutral Stochastic Differential Equations with Variable Delays Meng Wu, 1 Nan-jing Huang, 1 and Chang-Wen Zhao 2 1 Department of ... stability of a generalized linear neutral stochastic differential equation with variable delays by using the fixed point theory. An asymptotic mean square stability theorem with a necessary and sufficient ... deal with the stability for deterministic differential equations, not for stochastic differential equations. Very recently, Luo 6 studied the mean square asymptotic stability for a class of linear

Ngày tải lên: 21/06/2014, 23:20

... Nguyen Huu Du, Vu Hoang Linh, Stability radii for linear time-invarying differential- equations with respect to dynamic perturbations, J Differential Equations, 230 (2006) 579 [9] N.T Ha, B Rejanadit, ... stability of time-varying linear systems, J Differential Equations, 82 (1989) 219 [5] B Jacob, A formula for the stability radius of time-varying systems, J Differential Equations, 142 (1998) 167 ... and formula of the stability radius were extended to linear time-invariant differential- algebraic systems [6, 7]; and to linear time-varying differential and difference-algebraic systems [8, 9]

Ngày tải lên: 22/03/2014, 11:20

... on fractional differential equations, see 5–11 and the references therein. In this paper, we study the following nonlinear fractional integro-differential equations with three-point nonlocal fractional ... nonlinear integro-differential equations of fractional order q ∈ 1, 2 with three-point nonlocal fractional boundary conditions by applying some standard fixed point theorems. 1. Introduction Fractional ... Difference Equations Volume 2010, Article ID 691721, 10 pages doi:10.1155/2010/691721 Research Article Existence of Solutions for Nonlinear Fractional Integro -Differential Equations with Three-Point

Ngày tải lên: 21/06/2014, 16:20

... 2000 (1999)379 t7l N H Du, Stability radii for differential- algebraic equations, Vietnam J Math.,2'l with respect to dynamic differential- equations linear time-invarying radii for Linh, Stability ... time-invarying dynamic equations with respect to linear dynamic pe(urbations on time scales A formula for the stability radius is given Keywords and phrases : time scales, exponential function, linear dynamic ... and formula of the stability radius were extended to linear time-invariant differential- algebraic systems [6, 7]; and to linear time-varying differential and difference-algebraic systems [g, 9]

Ngày tải lên: 14/12/2017, 14:52

... difference methods with non-uniform meshes for nonlinear fractional differential equations J Comput Phys 316 (2016) 30 Li, X., Xu, C.: A space-time spectral method for the time fractional diffusion ... integro -differential equations with Volterra operators A more modern review paper [4] summarizes recent results on a variety of numerical ways of solving considered equations As being inegro -differential ... both fractional differential equations and integral equations To state only a few, we start from mentioning two classic monographs concerning numerical methods for Volterra (and Abel) integral equations

Ngày tải lên: 04/12/2022, 15:46

... Walther, HO, Wu, J: Functional differential equations with state-dependent delays: theory and applications Handbook of Differential Equations: Ordinary Differential Equations, vol III Elsevier/North-Holland, ... results on existence of solutions to first-order ordinary differential equations with deviated arguments Delay differential equations are included in our general framework, which even allows deviations ... the least (greatest) solution This seems to be a peculiar feature of equations with deviated arguments, see [1] for an example with a second-order equation Therefore, we are obliged to distinguish

Ngày tải lên: 20/06/2014, 20:20

... nonlinear fractional differential equations, ” Computers & Mathematics with Applications, vol 59, no 3, pp 1363–1375, 2010 21 S Zhang, “The existence of a positive solution for a nonlinear fractional ... differential equations with fractional order and nonlocal conditions,” Nonlinear Analysis Theory, Methods & Applications, vol 71, no 7-8, pp 2391–2396, 2009 17 H A H Salem, “On the nonlinear Hammerstein ... Difference Equations Volume 2011, Article ID 546038, 14 pages doi:10.1155/2011/546038 Research Article The Existence of Positive Solution to a Nonlinear Fractional Differential Equation with Integral

Ngày tải lên: 21/06/2014, 05:20

... value problems of nonlinear integro-differential equations of fractional order,” Applied Mathematics and Computation, vol 217, no 2, pp 480–487, 2010 11 F Riewe, “Mechanics with fractional derivatives,” ... i−1 dom, codom and with the ith derivative is bounded piecewise continuous, respectively, piecewise continuous in the definition domain Caputo Fractional Linear Dynamic Systems with Point Constant ... Caputo fractional derivatives,” Applied Mathematics and Computation, vol 178, no 2, pp 527–533, 2006 Y Luchko and R Gorenflo, “An operational method for solving fractional differential equations with

Ngày tải lên: 21/06/2014, 05:20

... Advances in Difference Equations Volume 2011, Article ID 806729, 18 pages doi:10.1155/2011/806729 Research Article Solvability of Nonautonomous Fractional Integrodifferential Equations with Infinite Delay ... some semilinear neutral ee fractional functional evolution equations with infinite delay,” Applied Mathematics and Computation, vol... solutions of infinite delay evolution equations, ... to abstract Volterra equations, ” Journal of Evolution Equations, vol 9, no 4, pp 661–674, 2009 19 J Liang and T.-J Xiao, “Semilinear integrodifferential equations with nonlocal initial

Ngày tải lên: 21/06/2014, 11:20

... ordinary differential equations with sublinear impulsive effects,” Journal of Mathematical Analysis and Applications, vol 303, no 1, pp 288–303, 2005 L Chen and J Sun, “Nonlinear boundary value ... 16 pages doi:10.1155/2010/325415 Research Article Variational Approach to Impulsive Differential Equations with Dirichlet Boundary Conditions Huiwen Chen and Jianli Li Department of Mathematics, ... differential equations, ” Journal of Mathematical Analysis and Applications, vol 318, no 2, pp 726–741, 2006 10 J J Nieto and D O’Regan, “Variational approach to impulsive differential equations, ” Nonlinear

Ngày tải lên: 21/06/2014, 11:20

... doi:10.1155/2010/862079 Research Article Positive Solutions for Fourth-Order Singular p-Laplacian Differential Equations with Integral Boundary Conditions Xingqiu Zhang1, and Yujun Cui3 Department of Mathematics, ... 0, positive solutions for fourth-order singular p-Laplacian differential equations with integral boundary conditions Our nonlinearity f may be singular at t 0, t 1, and u The dual results for the ... consider the existence of positive solutions for the following nonlinear fourth-order singular p-Laplacian differential equations with integral boundary conditions: ϕp x t x f t, x t , x t , g s

Ngày tải lên: 21/06/2014, 11:20

... and stability in differential equations with variable delays,” Nonlinear Analysis: Theory, Methods and Applications,... contraction mapping in M with constant 3/d By the contraction ... medium, provided the original work is properly cited. We consider two nonlinear scalar delay differential equations with variable delays and give some new conditions for the boundedness and stability ... 195916, 14 pages doi:10.1155/2010/195916 Research Article Fixed Points and Stability in Nonlinear Equations with Variable Delays Liming Ding, 1, 2 Xiang Li, 1 and Zhixiang Li 1 1 Department of Mathematics

Ngày tải lên: 21/06/2014, 11:20

... doi:10.1155/2011/654871 Research Article Multiple Positive Solutions of Fourth-Order Impulsive Differential Equations with Integral Boundary Conditions and One-Dimensional p-Laplacian Meiqiang Feng School ... integral equations and their relation with boundary- value problems, we refer to the book of Corduneanu 22 and Agarwal and O’Regan 23. On the other hand, boundary-value problems with integral ... Differential Equations, vol 14, World Scientific, ı Singapore, 1995 6 J Yan, “Existence of positive periodic solutions of impulsive functional differential equations with two parameters,”

Ngày tải lên: 21/06/2014, 16:20

... problems of nonlinear fractional differential equations, ” Electronic Journal of Differential Equations, vol 2006, pp 1–12, 2006 21 S Zhang, “The existence of a positive solution for a nonlinear fractional ... theory of fractional differential equations, ” Nonlinear Analysis: Theory, Methods & Applications, vol 69, no 8, pp 2677–2682, 2008 V Lakshmikantham, “Theory of fractional functional differential equations, ” ... differential equations with fractional order and nonlocal conditions,” Nonlinear Analysis: Theory, Methods and Applications, vol 71, no 7-8, pp 2391–2396, 2009 17 H A H Salem, “On the nonlinear Hammerstein

Ngày tải lên: 21/06/2014, 16:20

... Nonlocal nonlinear differential equations with a measure of noncompactness in Banach spaces Nonlinear Anal TMA 70, 2593–2601 (2009)... Lp theory for semilinear nonlocal problems with measure ... with nonlocal initial conditions in Banach spaces Nonlinear Diff Equ Appl 14, 361–376 (2007) [23] Zhu, LP, Li, G: On a nonlocal problem for semilinear differential equations with ... with upper semicontinuous nonlinearities in general Banach spaces J Math Anal Appl 341, 660– 675 (2008) [24] Zhu, LP, Li, G: Existence results of semilinear differential equations with

Ngày tải lên: 21/06/2014, 17:20

... nonlinear fractional differential equations J Math Anal Appl 371, 57–68 (2010) [11] Kosmatov, N: Integral equations and initial value problems for nonlinear differential equations of fractional ... nonlinear fractional differential equation Electron J Qual Theory Diff Equ 3, 1–11 (2008) [17] Wang, X: Impulsive boundary value problem for nonlinear differential equations of fractional ... W: Positive solutions for a coupled system of nonlinear fractional differential equations with integral boundary. .. differential equations Appl Math Comput 217, 6950–6958 (2011) [16]

Ngày tải lên: 21/06/2014, 17:20

... differential equations with piecewise constant argument,” Nonlinear Analysis: Theory, Methods & Applications, vol 41, no 7-8, pp 871–890, 2000 ... second-order differential equations with ... spectrum of almost periodic solution of second-order differential equations with. .. difference equations with piecewise constant arguments,” Acta Mathematica Sinica, vol 18, ... solutions of neutral delay- differential equations with piecewise. .. periodic solution of second order scalar functional differential equations with piecewise constant argument,”

Ngày tải lên: 21/06/2014, 20:20

... for a nonlinear fractional differential equation,” Boundary Value Problems in press 11 M Benchohra, J R Graef, and S Hamani, “Existence results for boundary value problems with nonlinear fractional ... for fractional differential equations with Riemann-Liouville fractional derivatives,” Rheologica Acta, vol 45, no 5, pp 765–771, 2006 19 I Podlubny, “Geometric and physical interpretation of fractional ... we investigate the existence of solutions for boundary value problems with fractional order differential equations and nonlinear integral conditions of the form c Dr y t f t, y t for each t ∈

Ngày tải lên: 21/06/2014, 20:20