[PDF] Top 20 On a sign-changing solution for some fractional differential equations
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On a sign-changing solution for some fractional differential equations
... with different boundary conditions. By using the Leray-Schauder nonlinear alternative theorem, fixed point index theory, the properties of cone and fixed point theorems for a mixed monotone operator, the existence results ... See full document
8
A Meshless Method for Numerical Solution of Fractional Differential Equations
... Abstract. In this paper, a technique generally known as meshless numerical scheme for solving fractional differential equations is considered. We approximate the exact solu- tion by use of Radial ... See full document
8
Solution of Fractional Differential Equations By Adomian Decomposition Method With Chebyshev Polynomials
... nonlinear fractional differential equations using Adomian Decomposition with Chebyshev ...for some examples and the validity of the results are compared with the exact solution obtained ... See full document
9
Ulam Stability for System of Nonlinear Implicit Fractional Differential Equations
... Hilfer fractional differential equations , ...of solution of nonlinear Hilfer fractional differential equations, ... See full document
10
Iterative solutions for fractional nonlocal boundary value problems involving integral conditions
... for fractional differential equations; see [, , ...nontrivial sign-changing solutions to fractional differential equations with in- tegral boundary conditions, the main tool used ... See full document
13
Unique solution for a new system of fractional differential equations
... The paper is organized as follows. In Sect. 2, we propose not only some definitions and lemmas to be used to prove our main results, but also some useful properties of Green functions. In Sect. 3, we discuss ... See full document
19
An Algorithm for the Numerical Solution of System of Fractional Differential Equations
... t (13) The new algorithm is based on the modified trapezoidal rule and the fractional Euler's method. Our approach depends on the analytical property that the initial value problem (13 ) is equivalent to the ... See full document
5
Numerical solution methods for fractional partial differential equations
... partial differential equations have been developed in many different fields such as physics, finance, fluid mechanics, viscoelasticity, engineering and ...these equations is their nonlocal property, ... See full document
464
Algebraic Equations of Fractional Order Using Fractional Differential Transform Method
... of fractional calculus (that is calculus of integrals and derivatives of any arbitrary real or complex order) has gained considerable popularity and importance during the past three decades or so, due mainly to ... See full document
10
Numerical Solution for Solving a System of Fractional Integro-differential Equations
... exact solution and the approximate solution, at m = 16 (in columns 2,3) and m = 32 (in columns 4,5) respectively, are ...of fractional integro differential ...approximate solution for ... See full document
7
A modified series solution method for fractional integro differential equations
... Nonlinear problems play a crucial role in applied mathematics and physics. In maximum of the cases these nonlinear problems are tackled by the methods which propose to linearize the given nonlinear problem. Such approach ... See full document
8
A fractional type of the Chebyshev polynomials for approximation of solution of linear fractional differential equations
... The fractional derivative in the Caputo sense. We recall some pre- liminaries for our discussion in this ...of fractional order γ > 0, and not necessarily equivalent to each other,(see, ...Caputo ... See full document
12
Extremal solutions for some periodic fractional differential equations
... Differential equations of fractional order have played a significant role in engineering, sci- ence, and pure and applied mathematics in recent ...years. Some researchers paid attention to the ... See full document
8
Solution of Fractional Differential Equations By Adomian Decomposition Method With Chebyshev Polynomials
... stochastic fractional differential equations with approximate solutions which converge rapidly to accurate ...the differential equation ... See full document
9
Multiple solutions for the fractional differential equation with concave convex nonlinearities and sign changing weight functions
... of fractional calculus (that is, calculus of integrals and derivatives of any ar- bitrary real or complex order) is believed to have stemmed from a question raised in by L’Hôpital to Leibniz, which sought the ... See full document
12
Existence of solutions for the fractional Kirchhoff equations with sign-changing potential
... In recent years, Eq. (1.2) has been investigated in depth under different conditions on f and V, and a lot of existence results of the nontrivial solution to (1.2) have been obtained via variational method. In ... See full document
18
Multiple sign-changing solutions for nonlinear fractional Kirchhoff equations
... Recently, Fiscella and Valdinoci [22] first proposed a stationary Kirchhoff model involv- ing the fractional Laplacian, see [22, Appendix A] for more details in physical background. Then, many papers have been ... See full document
21
Vol 3, No 7 (2012)
... partial differential equations of fractional ...deformation equations of ...of solution in series by choosing proper value for auxiliary parameters h and auxiliary linear ...in ... See full document
10
Existence of positive solutions for a high order fractional differential equation integral boundary value problem with changing sign nonlinearity
... In our work, it is not necessary to have monotonicity of the nonlinearity f (t, u) since we derive the properties of the corresponding integral kernel function and get a more accurate inequality than the literature [12]. ... See full document
17
Local Solution of Delay Fractional Differential Equations
... (2) Where t [0, ], b 0, m [ ] 1, and [ ] denotes the integer part of . C D is the Caputo’s fractional derivative, f :[0, ] b B R is a given continuous function satisfying some ... See full document
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