The exact solutions of some conformable time fractional PDEs are presented explicitly. The modified Kudryashov method is applied to construct the solutions to the conformable time fractional Regularized Long WaveBurgers (RLW-Burgers, potential Korteweg-de Vries (KdV) and clannish random walker’s parabolic (CRWP) equations. Initially, the predicted solution in the finite series of a rational for...

the present study aims at indicating the existence and uniqueness result of system in extended colombeaualgebra. the caputo fractional derivative is used for solving the system of odes. in addition, rieszfractional derivative of colombeau generalized algebra is considered. the purpose of introducing rieszfractional derivative is regularizing it in colombeau sense. we also give a solution to a n...

In the sense of a conformable fractional operator, we consider generalized fractional–stochastic nonlinear wave equation (GFSNWE). This may be used to depict several physical phenomena occurring in liquid containing gas bubbles. The analytical solutions GFSNWE are obtained by using F-expansion and Jacobi elliptic function methods with Riccati equation. Due presence noise derivative, some that w...

In this paper, we study the diffusion equation with conformable derivative. The main goal is to prove convergence of mild solution our problem when order fractional Laplacian tends $1^-$. principal techniques paper based on some useful evaluations for exponential kernels.

UDC 517.9 We develop a new deformation and generalization of the natural integral transform based on conformable fractional q -derivative. obtain transformation some deformed functions apply to solve linear differential equation with given initial conditions.

In this paper, the conformable fractional-order SIR epidemic model are solved by means of an analytic technique for nonlinear problems, namely, fractional differential transformation method (CFDTM) and variational iteration (VIM). These models system equation (CFDE) that has no solution. The VIM is based on derivative proved. result revealed both methods in agreement accurate efficient solving ...

In this paper, we have obtained weighted versions of Ostrowski, Čebysev and Grüss type inequalities for conformable fractional integrals which is given by Katugompola. By using the Katugampola definition for conformable calculus, the present study confirms previous findings and contributes additional evidence that provide the bounds for more general functions.

This article consists of Improved Bernoulli Sub-Equation Function Method (IBSEFM) to get the new solutions nonlinear fractional Schrödinger equation described by beta-derivative. Foremost, it is dealt with derivative Atangana. Secondly, basic properties IBSEFM are given. Finally, proposed method has been applicated considered its solutions. Moreover, graphs obtained plotted via Mathematica. It ...

Fractional calculus; Conformable operators; Calculus on time scales Abstract A conformable time-scale fractional calculus of order a 2 0; 1 is introduced. The basic tools for fractional differentiation and fractional integration are then developed. The Hilger timescale calculus is obtained as a particular case, by choosing a 1⁄4 1. a 2015 The Authors. Production and hosting by Elsevier B.V. on ...