[PDF] Top 20 On the Solution of Fractional Order Nonlinear Boundary Value Problems By Using Differential Transformation Method

... of differential transformation method is discussed in Section ...about fractional order of nonlinear function. By using this theorem, we can solve the higher order ... See full document

... Generalized Differential Quadrature Rule (GDQR) for eighth-order differential ...numerical solution of eighth-order linear special case boundary value ...second ... See full document

... by using Maple 4. The existence and uniqueness of the solution is guaranteed by Agarwal’s [ 1 ] ...above problems, we gave higher-order series ... See full document

... of boundary value problems of nonlinear fractional integro-differential equations involving Caputo fractional derivative by using the techniques such as ... See full document

... maximal solution only, as the case of minimal solution is similar and can be obtained with the same arguments with appropriate ...following boundary value problem of BVPHDEF of order  ... See full document

... the nonlinear second-order boundary value problems (3)-(5) by using ChFD ...this method, the transformation t = 2 x − 1 is used to change equation (3) to the ... See full document

... positive solution for a class of nonlinear boundary value problems of second-order differential equations with integral boundary conditions in abstract ... See full document

... on fractional calculus are devoted to the solvability of linear initial fractional differential equations on terms of special ...of solution to the nonlinear fractional ... See full document

... first order boundary value problems for fractional differential equations and inclusions with fractional integral boundary ...for nonlinear fractional ... See full document

... to boundary value problems for fractional differential equations had attracted the attention of many authors, see for example, [4, 6, 8, 9, 15, 16, 19, 27] and the references ...of ... See full document

... fifth-order boundary value problems are solved by means of septic B-splines collocation me- ...the nonlinear problems to linear problems and reduce a boundary ... See full document

... of boundary value problems for fractional order-differential equations is one of the rapidly developing branches of the general theory of differential ...the ... See full document

... [17] X. Zhang, An existence theorem and estimation of the solution of the Robin problem for a class of nth order equations, Acta Mathematicae Applicatae Sinica 14 (1991), no. 3, 397–403 (Chinese). Guangwa ... See full document

... the nonlinear term has to satisfy the monotone or other control ...the nonlinear fractional differential equation with non- monotone term can respond better to impersonal law, so it is very important ... See full document

... solve boundary value problems for inte- gro-differential ...solve differential-difference ...multi order frac- tional differential equations and linear PDEs of ... See full document

... Boundary value problems for fractional differential equations arise in many engineering and scientific disciplines as the mathematical modeling of systems and processes in the fields of ... See full document

... approximation method for solving higher order fractional dif- ferential equations has been ...The solution is expressed as a truncated Legendre series, and so it can be easily evaluated for ... See full document

... differential transformation method (DTM), a semi-numerical and semi-analytic technique for solving lin- ear and nonlinear thirteenth order boundary value ...approximate ... See full document

... Fractional calculus has been recognized as an effective modeling methodology by re- searchers. Fractional differential equations are generalizations of classical differential equations to an arbitrary ... See full document

... of boundary value problems of nonlinear fractional order differential equations involving the Caputo fractional derivative by employing the Banach’s contrac- tion ... See full document