[PDF] Top 20 On the Wave Solutions of Conformable Fractional Evolution Equations
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On the Wave Solutions of Conformable Fractional Evolution Equations
... derive solutions to ...exact solutions, soliton-like and trigonometric type solutions for the Konopelchenko-Dubrovsky equation in two space ...the solutions to ... See full document
7
Analytical solutions to fractional evolution equations with almost sectorial operators
... about fractional derivatives and functional analysis asso- ciated with almost sectorial ...mild solutions to FNEEs with almost sectorial ...mild solutions correspond to strong and classical ... See full document
25
Almost Periodic Solutions for Impulsive Fractional Stochastic Evolution Equations
... differential equations has been generalized to stochastic ...of solutions of stochastic evolution equations have recently received a lot of attention (see [13, 17, 28] and the references ... See full document
16
Existence and uniqueness of positive mild solutions for a class of fractional evolution equations on infinite interval
... upper solutions, we present some new results on the existence of positive mild solutions for the abstract fractional evolution equations ...of fractional order on unbounded ... See full document
15
Existence of mild solutions for fractional evolution equations with nonlocal conditions
... differential equations involving fractional derivatives in time have recently been proved to be valuable tools in the modeling of many phenomena in various fields of en- gineering and ...on fractional ... See full document
12
Sine-Gordon Expansion Method for Exact Solutions to Conformable Time Fractional Equations in RLW-Class
... owing to (10) - (11). The procedure starts by determining index limit s by the assistance of homogenous balance of the terms in (13). Following the substitution of the predicted solution (15) into (13) the coefficients ... See full document
21
Mild solutions of fractional evolution equations on an unbounded interval
... this subject up to now. Motivated by this, we concern ourselves with existence results for mild solutions of problem (.) in the present paper by the Tichonov fixed-point theorem. The rest of paper will be ... See full document
10
Existence of solutions for impulsive fractional evolution equations with periodic boundary condition
... differential equations is a new and important branch of dif- ferential equation theory, which has an extensive physical, population dynamics, ecology, chemical, biological systems, and engineering ...on ... See full document
22
Exact Solutions of Burgers Equation with Space Dependent Coefficients by the Extended Unified Method
... Abstract— A brief report on the different methods for finding exact traveling wave solutions of nonlinear evolution equations is presented. In a very recently work it had been shown that most ... See full document
5
Searching for traveling wave solutions of nonlinear evolution equations in mathematical physics
... traveling wave solutions for the above mentioned two high-dimensional nonlinear equations by taking full advantage of the extended solutions of the following general elliptic ... See full document
15
Differential transform method for conformable fractional partial differential equations
... for fractional derivative in most of which integral forms have been widely ...of fractional derivative called a conformable frac- tional derivative was proposed by Khalil et ...the conformable ... See full document
13
Conformable Laplace Transform of Fractional Differential Equations
... of solutions (see [19,20]). Motivated by applications of fractional integral inequalities (see [21–23]), we study the reliability of conformable Laplace transform method for solving linear ... See full document
11
Solving Nonlinear Evolution Equations by (G'/G)-Expansion Method
... their solutions attain much attention in soliton ...travelling wave solutions of foam drainage equation and NLEE of fourth ...differential equations. Wave transformation is used to ... See full document
11
SOLVING FRACTIONAL DIFFUSION AND FRACTIONAL DIFFUSION-WAVE EQUATIONS BY PETROV-GALERKIN FINITE ELEMENT METHOD
... that fractional calculus has been widely used in several areas of ...numerical solutions also have become urgently ...numerical solutions of both the fractional diffusion and fractional ... See full document
14
Dark soliton and periodic wave solutions of nonlinear evolution equations
... In this section, the ansatz method will be used to carry out the integration of the Kudryashov-Sinelshchikov and Jimbo-Miwa equations. The search is going to be for a topological -soliton solution which is also ... See full document
11
Positive solutions of conformable fractional differential equations with integral boundary conditions
... The fractional derivative is a generalization of the classical one to an arbitrary order, and the question of what is a fractional derivative was first raised by L’Hôpital in a letter to Leibniz in ...then, ... See full document
12
Existence of Solutions for Boundary Value Problems of Conformable Fractional Differential Equations
... [6] Wei, Z.L., Dong, W. and Che, J.L. (2010) Periodic Boundary Value Problems for Fractional Differential Equations Involving a Riemann-Liouville Fractional Deriva- tive. Nonlinear Analysis-Theory ... See full document
10
THE MODIFIED KUDRYASHOV METHOD FOR THE CONFORMABLE TIME FRACTIONAL (3+1)- DIMENSIONAL KADOMTSEV-PETVIASHVILI AND THE MODIFIED KAWAHARA EQUATIONS
... dimensional conformable time fractional Kadomtsev- Petviashvili and the conformable time fractional modified Kawahara equations are solved by implementing the Kudryashov’s ... See full document
10
Solitary and periodic wave solutions of higher dimensional conformable time fractional differential equations using the \(( \frac{G'}{G},\frac{1}{G} ) \) expansion method
... sented via a polynomial in the ( G 1 ) and ( G G ), where G satisfies the equation G + λG = μ. Li et al. [45] are the first researchers, who proposed the ( G G , G 1 )-expansion method to solve the Zakharov ... See full document
15
On The Exact Solutions to Conformable Time Fractional Equations in EW Family Using Sine-Gordon Equation Approach
... exact solutions to nonlinear ...dicted solutions as a finite series of some particular ...type solutions to nonlinear PDEs can be determined by implementation of sine-cosine approach ... See full document
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