Analytical behavior of the fractional Bogoyavlenskii equations with conformable derivative using two distinct reliable methods
نویسندگان
چکیده
منابع مشابه
On the Wave Solutions of Conformable Fractional Evolution Equations
The exact solutions in the wave form are derived for the time fractional KdV and the time fractional Burgers’ equations in conformable fractional derivative sense. The fractional variable change using the fundamental properties of the conformable derivative reduces both equations to some nonlinear ODEs. The predicted solution is assumed to be a finite series form of a function satisfying a part...
متن کاملComparison of acceleration techniques of analytical methods for solving differential equations of integer and fractional order
The work addressed in this paper is a comparative study between convergence of the acceleration techniques, diagonal pad'{e} approximants and shanks transforms, on Homotopy analysis method and Adomian decomposition method for solving differential equations of integer and fractional orders.
متن کاملExistence results for hybrid fractional differential equations with Hilfer fractional derivative
This paper investigates the solvability, existence and uniqueness of solutions for a class of nonlinear fractional hybrid differential equations with Hilfer fractional derivative in a weighted normed space. The main result is proved by means of a fixed point theorem due to Dhage. An example to illustrate the results is included.
متن کاملOn Comparison Theorems for Conformable Fractional Differential Equations
In this paper the more general comparison theorems for conformable fractional differential equations is proposed and tested. Thus we prove some inequalities for conformable integrals by using the generalization of Sturm’s separation and Sturm’s comparison theorems. The results presented here would provide generalizations of those given in earlier works. The numerical example is also presented t...
متن کاملAnalytical Treatment of Volterra Integro-Differential Equations of Fractional Derivatives
In this paper the solution of the Volterra integro-differential equations of fractional order is presented. The proposed method consists in constructing the functional series, sum of which determines the function giving the solution of considered problem. We derive conditions under which the solution series, constructed by the method is convergent. Some examples are presented to verify convergen...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Results in Physics
سال: 2021
ISSN: 2211-3797
DOI: 10.1016/j.rinp.2021.103975