In this paper, our focus is on the multidimensional mathematical physics models. We employ
the sub-equation method to obtain new exact solutions to the proposed strongly nonlinear …

This work suggested a new generalized fractional derivative which is producing different
kinds of singular and nonsingular fractional derivatives based on different types of kernels …

The role of integer and noninteger order partial differential equations (PDE) is essential in
applied sciences and engineering. Exact solutions of these equations are sometimes difficult …

In this article, we introduce a new technique to create a series solution to the time-fractional
Navier-Stokes equations is using a combination of the Laplace Transform with the residual …

In this paper, we develop a new meshless method for solving a wide class of time-fractional
partial differential equations with general space operators in 2D and 3D regular and …

In the recent years, few type of fractional derivatives which have non-local and non-singular
kernel are introduced. In this work, we present fractional rheological models and Newell …

Fractional differential equations have been investigated by variational iteration method.
However, the previous works avoid the term of fractional derivative and handle them as a …

Haar wavelet operational matrix has been widely applied in system analysis, system
identification, optimal control and numerical solution of integral and differential equations. In …

In this work, the variational iteration method (VIM) is used to solve a class of fractional
optimal control problems (FOCPs). New Lagrange multipliers are determined and some new …

Solving a nonlinear fractional differential equation using Chebyshev wavelets - ScienceDirect
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