[PDF] Top 20 The Linear, Nonlinear and Partial Differential Equations are not Fractional Order Differential Equations
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The Linear, Nonlinear and Partial Differential Equations are not Fractional Order Differential Equations
... The differential equations were considered as fractional order differential equations in ...some fractional order differential equations, and observed ... See full document
6
Using Homo Separation of Variables for Solving Systems of Nonlinear Fractional Partial Differential Equations
... When compared with the existing published methods, it is easy to notice that the new method has many advantages. It is straightforward, easy to understand, and fast, requiring much less computations to perform a limited ... See full document
9
Laplace homotopy analysis method for solving linear partial differential equations using a fractional derivative with and without kernel singular
... tional partial differential ...the fractional sub-equation method [–], the homotopy perturbation technique ...for fractional partial differential equations is an important topic, ... See full document
17
Fractional order differential equations with iterations of linear modification of the argument
... Recently, fractional order differential equations have appeared naturally in the fields such as viscoelasticity, electrical circuits, nonlinear oscillation of earthquake, ...of fractional ... See full document
10
DGJ Method for Linear and Nonlinear Third order Fractional Differential Equation
... third order linear and nonlinear fractional differential equation with Caputo fractional ...a nonlinear third order fractional partial ... See full document
10
Modified Homotopy Analysis Method for Nonlinear Fractional Partial Differential Equations
... of linear differential ...of linear differential equations ( [2], [3], [4], ...of linear and nonlinear differential ...of nonlinear fractional ... See full document
11
Exact solutions for linear systems of local fractional partial differential equations
... local fractional differential equations or local frac- tional partial differential, adopted in its entirety on the above mentioned methods to solve this new types of ...local ... See full document
8
On Approximate Solutions of Second Order Linear Partial Differential Equations
... The Chebyshev matrix method applied in this study is useful in finding approximate solutions of second-order linear partial differential equations in both homogeneous and ... See full document
7
Spectral solution of fractional fourth order partial integro-differential equations
... be defined on the domain D(A) = { w ∈ H 4 | w satisfies (1.2) } where H = L 2 ([0, a]) and w ∈ H 4 means that w and its derivatives up to order 4 are elements of H . The operator L is self-adjoint compact and ... See full document
13
7. On solutions of a system of higher-order nonlinear fractional differential equations
... higher-order nonlinear fractional differential equa- tions is studied in this article, and some sufficient conditions for existence and uniqueness of a solution for the system is established by the ... See full document
10
An existence result for n^{th}-order nonlinear fractional differential equations
... integer order. Fractional differential equations arise in many engineering and scientific disciplines, such as physics, chemistry, biology, economics, control theory, signal and image ... See full document
13
The Study for Transient Neutron Transport with Pomrning-Eddington Approximation
... first order differential ...the linear or nonlinear differential equations is use d to solve the resultant two differential equations to find the neutron energy ... See full document
8
Global attractivity for fractional order delay partial integro differential equations
... non-integer order. The subject is as old as the differential calculus and it has been developed up to nowadays (see Kilbas et ...[2]). Fractional differential and integral equations ... See full document
10
Techniques for Solving a Certain Class of Partial Differential Equation by Fractional Fourier Transform
... of fractional order, along the ordinary Fourier transform of first ...of fractional order Fourier ...of partial differential ...second order partial ... See full document
16
Anti periodic fractional boundary value problems for nonlinear differential equations of fractional order
... Fractional calculus has been recognized as an effective modeling methodology by re- searchers. Fractional differential equations are generalizations of classical differential equations to an ... See full document
12
Nonlinear sequential fractional differential equations with nonlocal boundary conditions involving lower order fractional derivatives
... sequential fractional differential equations of order q ∈ (2, 3] supplemented with nonlocal non-separated boundary conditions involving lower-order fractional ... See full document
16
Numerical solution of multi-order fractional differential equations via the sinc collocation method
... solving linear and nonlinear multi-order fractional differential equations based on the new definition of fractional derivative which is recently presented by Khalil, ... See full document
13
A New Approach for the Exact Solutions of Nonlinear Equations of Fractional Order via Modified Simple Equation Method
... of nonlinear partial time-space differential equations of fractional ...convert nonlinear partial fractional dif- ferential equations into nonlinear ... See full document
7
Positive Solutions for Fractional Differential Equations with Multi Point Boundary Value Problems
... on fractional calculus are devoted to the solvability of linear initial fractional differential equations on terms of special ...the nonlinear fractional ... See full document
7
Solving STO And KD Equations with Modified Riemann-Liouville Derivative Using Improved (G’/G)-expansion Function Method
... using fractional-order differential equations ...of nonlinear time-fractional STO equation by the direct algebraic ...the fractional STO equation we can see ...the ... See full document
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