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Güncel Gönderiler

Two analytical methods for timefractional nonlinear coupled BoussinesqBurger's equations arise in propagation of shallow water waves
(Springer, 201607)In this paper, an analytical method based on the generalized Taylors series formula together with residual error function, namely residual power series method (RPSM), is proposed for finding the numerical solution of the ... 
On the Laplace integral representation of multivariate MittagLeffler functions in anomalous relaxation
(WileyBlackwell, 201607)In the given paper, a special method of representation of the MittagLeffler functions and their multivariate generalizations in the form of the Laplace integrals is suggested. The method is based on the usage of the ... 
New solutions of the transport equations in porous media within localfractional derivative
(Editura Acad Romane, 201607)In this manuscript we use the series expansion method within local fractional derivative to obtain the solutions of both homogeneous and nonhomogeneous transport equations. The new reported solutions are able to describe ... 
Dynamical analysis of fractional order model of immunogenic tumors
(Sage Publications Ltd, 201607)In this article, we examine the fractional order model of the cytotoxic T lymphocyte response to a growing tumor cell population. We investigate the longterm behavior of tumor growth and explore the conditions of tumor ... 
Analytical solutions of the electrical rlc circuit via liouvillecaputo operators with local and nonlocal kernels
(MDPI AG, 201608)In this work we obtain analytical solutions for the electrical RLC circuit model defined with LiouvilleCaputo, CaputoFabrizio and the new fractional derivative based in the MittagLeffler function. Numerical simulations ... 
Riesz RiemannLiouville difference on discrete domains
(Amer Inst Physics, 201608)A Riesz difference is defined by the use of the RiemannLiouville differences on time scales. Then the definition is considered for discrete fractional modelling. A lattice fractional equation method is proposed among which ... 
A micro magnetic stimulator
(Chiminform Data S A, 201608)Transcranial magnetic stimulus is a noninvasive method for electrically stimulating the cerebral cortex applying squared pulses with certain frequency, during variable time intervals, over particular regions of the cranium. ... 
Modified JacobiBernstein basis transformation and its application to multidegree reduction of Bezier curves
(Elsevier Science Bv, 20160815)This paper reports new modified Jacobi polynomials (MJPs). We derive the basis transformation between MJPs and Bernstein polynomials and vice versa. This transformation is merging the perfect Leastsquare performance of ... 
Discrete fractional differences with nonsingular discrete MittagLeffler kernels
(Springer International Publishing, 20160905)In this manuscript we propose the discrete versions for the recently introduced fractional derivatives with nonsingular MittagLeffler function. The properties of such fractional differences are studied and the discrete ... 
Chaos synchronization of fractional chaotic maps based on the stability condition
(Elsevier Science Bv, 20161015)In the fractional calculus, one of the main challenges is to find suitable models which are properly described by discrete derivatives with memory. Fractional Logistic map and fractional Lorenz maps of RiemannLiouville ... 
Fractional Lienard type model of a pipeline within the fractional derivative without singular kernel
(Springer International Publishing, 20160701)This paper presents the procedure to obtain analytical solutions of Li,nard type model of a fluid transmission line represented by the CaputoFabrizio fractional operator. For such a model, we derive a new approximated ... 
On exact travelingwave solutions for local fractional Kortewegde Vries equation
(Amer Inst Physics, 201608)This paper investigates the Kortewegde Vries equation within the scope of the local fractional derivative formulation. The exact traveling wave solutions of nondifferentiable type with the generalized functions defined ... 
On the analysis of data emerging in nonlinear and complex systems comparison of two xray prony spectra
(Chiminform Data S A, 201512)New arguments proving that successive (repeated) measurements have a memory and actually remember each other are presented. The recognition of this peculiarity can change essentially the existing paradigm associated with ... 
Existence criterion for the solutions of fractional order pLaplacian boundary value problems
(Springer International Publishing, 20150917)The existence criterion has been extensively studied for different classes in fractional differential equations (FDEs) through different mathematical methods. The class of fractional order boundary value problems (FOBVPs) ... 
On the exact solution of wave equations on cantor sets
(MDPI AG, 201509)The transfer of heat due to the emission of electromagnetic waves is called thermal radiations. In local fractional calculus, there are numerous contributions of scientists, like Mandelbrot, who described fractal geometry ... 
Solving fully fuzzy polynomials using feedback neural networks
(Taylor&Francis Ltd, 20150403)Recently, there has been a considerable amount of interest and practice in solving many problems of several applied fields by fuzzy polynomials. In this paper, we have designed an artificial fuzzified feedback neural ... 
A Jacobi GaussLobatto and GaussRadau collocation algorithm for solving fractional FokkerPlanck equations
(Springer, 201511)In this article, we construct a new numerical approach for solving the timefractional FokkerPlanck equation. The shifted Jacobi polynomials are used as basis functions, and the fractional derivative is described in the ... 
On fractional neutral integrodifferential systems with statedependent delay and noninstantaneous impulses
(Springer International Publishing, 20151208)In this manuscript, we work to actualize the Darbo Banas and Goebel in Measure of Noncompactness in Banach Space. Lecture Notes in Pure and Applied Mathematics, 1980) fixed point theorem (FPT) coupled with the Hausdorff ... 
On the existence of solution for fractional differential equations of order 3 < delta(1) <= 4
(Springer International Publishing, 20151126)In this paper, we deal with a fractional differential equation of order delta(1) is an element of (3,4] with initial and boundary conditions, Ddelta 1 psi(x) = H(x,psi(x)), Dalpha 1 psi(1) = 0 = I3delta 1 psi(0) = ... 
On existence results for solutions of a coupled system of hybrid boundary value problems with hybrid conditions
(Springer International Publishing, 20151015)We investigate sufficient conditions for existence and uniqueness of solutions for a coupled system of fractional order hybrid differential equations (HDEs) with multipoint hybrid boundary conditions given by Domeg ...