[PDF] Top 20 On the solution of some simple fractional differential equations
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On the solution of some simple fractional differential equations
... We present simple methods of solution of some classes of fractional differential equations, namely those with constant coefficients standard I and those with power type coefficients with[r] ... See full document
16
Algebraic Equations of Fractional Order Using Fractional Differential Transform Method
... approximate solution for fuzzy differential algebraic equations of fractional order (FFDAEs) based on the fractional differential transform Method (FDTM) which is proposed to ... See full document
10
Numerical Solution for Solving a System of Fractional Integro-differential Equations
... integro-differential equations of fractional order arise in many physical and engineer- ing problems such as fluid mechanics, viscoelasticity, dif- fusion processes, biology and so on ...the ... 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
RETRACTED: The Modified Simple Equation Method and Its Applications in Mathematical Physics and Biology
... modified simple equation method [27]-[32] and so ...modified simple equation method for finding the exact traveling wave solution of some nonlinear partial differential ... See full document
19
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
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
Positive solution for singular fractional differential equations involving derivatives
... 1. Diethelm, K, Freed, AD: On the solutions of nonlinear fractional order differential equations used in the modelling of viscoplasticity. In: Keil, F, Mackens, W, Voss, H, Werthers, J (eds.) Scientific ... See full document
12
The existence and uniqueness of the solution for nonlinear Fredholm and Volterra integral equations together with nonlinear fractional differential equations via w distances
... nonlinear fractional differential equations nowadays is a large subject of mathematics, which found numerous applications of many branches such as physics, en- gineering, and other fields connected with ... See full document
15
Approximate Solution for Fuzzy Differential Algebraic Equations of Fractional Order Using Fractional Differential Transform Method
... Piston-Ring Assembly (a) Equivalent Stresses (von-misses) (b) Result Maximum shear stress (c) frictional Stress Acting on Bronze Piston Ring (d) Sliding distance occur during the operat[r] ... See full document
9
Existence and uniqueness of positive solution to singular fractional differential equations
... Motivated by the works mentioned above, in this paper we aim to establish the existence and uniqueness of a positive solution to the BVP (.). Our work presented in this paper has the following features. Firstly, ... See full document
12
The Use of Cubic Splines in the Numerical Solution of Fractional Differential Equations
... 10 H. Nasuno, N. Shimizu, and M. Fukunaga, “Fractional derivative consideration on nonlinear vis- coelastic statical and dynamical behavior under large pre-displacement,” in Advances in Fractional Calculus: ... See full document
17
Existence and uniqueness of solution for a class of nonlinear fractional differential equations
... present some new existence and uniqueness results for nonlinear fractional differential equations with a kind of general irregular boundary condition in Banach space by using a fixed-point theorem and ... See full document
11
On the existence of a mild solution for impulsive hybrid fractional differential equations
... This paper is arranged as follows. In Section , we recall some concepts and some frac- tional calculation law and establish preparation results. In Section , we give the main re- sults based on the Dhage ... See full document
14
On a sign-changing solution for some fractional differential equations
... differential equations have gained much importance and attention due to the fact that they have been proved to be valuable tools in the modeling of many phe- nomena in engineering and sciences such as physics, ... See full document
8
Positive Solutions for Fractional Differential Equations with Multi Point Boundary Value Problems
... Fractional differential equations have been of great interest ...of fractional calculus itself as well as its ...tional differential equations arise in rheology, dynamical ... See full document
7
Numerical solution methods for fractional partial differential equations
... The finite difference method can be used to numerically approximate the second spa- tial derivative. This method has been used to develop both explicit numerical methods (Yuste & Acedo 2005, Shen & Liu 2005, Liu, ... See full document
464
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
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