Rahman, Multi-term fractional differential equations in a nonreflexive Banach space, Adv. Difference Equ. 2013: 302 (2013).R. P. Agarwal, V. Lupulescu, D. O'Regan, and G. ur Rahman, "Multi-term fractional differential equations in a nonreflexive Banach space," Advances in Difference ...
MT_FDE_PI1_Im Solves on the interval [t0,T] an initial value problem for the multiterm fractional differential equation lam_Q D^(al_Q) y(t) + ... + lam_1 D^(al_1) y(t) = f(t,y(t)) y(0) = y0(1), y'(0) = y0(2), ... y^m(0) = y0(m) with m the ...
K. Diethelm, Efficient solutions of multi-term fractional differential equations using P (EC)mE methods, Computing 71(2003), 305-319.Diethelm, K. [2003] "Efficient solution of multi-term fractional differential equations using P(EC)mE methods," Computing 71, 305-319....
Existence of Positive Solutions for Multiterm Fractional Differential Equations of Finite Delay with Polynomial Coefficientsfractal image compressionDCTIFSself-similarityExistence of positive solutions has been studied by A. Babakhani and V. Daftardar-Gejji (2003) in case of multiterm nonautonomous ...
Multi-term fractional diffusion-wave equation along with the homogeneous/non-homogeneous boundary conditions has been solved using the method of separation of variables. It is observed that, unlike in the one term case, solution of multi-term fractional diffusion-wave equation is not necessarily non...
A tunably-accurate Laguerre Petrov- Galerkin spectral method for multi-term fractional differential equations on the half line, arXiv: 1607.08571, 2016.R. Han. Dry ten martini ... Han,Rui - 《Transactions of the American Mathematical Society》 被引量: 16发表: 2016年 A PETROV-GALERKIN ...
We then apply one special case of the modified WSGL formula to solve multi-term fractional ordinary and partial differential equations, and we prove the linear stability and second-order convergence for both smooth and non-smooth solutions when the regularity of the solutions is known. We show ...
Huang X., Lu X., The use of fractional B-splines wavelets in Multi-terms fractional ordinary Differential Equations, International Journal of Differential Equations, Volume 2010 (2010), Article ID 968186, 13p, DOI:10.1155/2010/968186Huang X., Lu X., The use of fractional B-splines wavelet...
In this paper, we consider the initial value problem for the nonlinear fractional differential equations $$\\begin{aligned} \\left\\{ \\begin{array}{l@{\\quad }l} D^\\alpha u(t)=f(t,u(t),D^{\\beta _1}u(t),\\ldoi:10.1007/s12190-015-0973-8Li, Qiuping...
This article focuses on the complex problem of solving multi-term(order) fractional differential equations with integral boundary conditions. By using advanced topology techniques, we develop new approaches to obtain the desired solutions. The efficacy of these techniques is demonstrated through various nu...