In this work we conceive a method of how the Lagrange multiplier modified Variational Iteration Method can be defined from Laplace transform, And use technique to solve both differential equations and FDEs with initial value conditions, With Illustrative examples by applying VIM Ordinary fractional Differential Equations.

the purpose of this paper is to study the fuzzy fractional differentialequations. we prove that fuzzy fractional differential equation isequivalent to the fuzzy integral equation and then using this equivalenceexistence and uniqueness result is establish. fuzzy derivative is considerin the goetschel-voxman sense and fractional derivative is consider in theriemann liouville sense. at the end, we...

A new wavelet transform (WT) is introduced based on the fractional properties of the traditional Fourier transform. The new wavelet follows from the fractional Fourier order which uniquely identifies the representation of an input function in a fractional domain. It exploits the combined advantages of WT and fractional Fourier transform (FrFT). The transform permits the identification of a tran...

In this research work, the numerical scheme for obtaining linear time-fractional differential equations was considered and nature of these are in sense Caputo. A theorem proved to show Kamal transform \(n\)th order Caputo derivatives. Finally, three problems were regarding which presented that convergence provided high accuracy solving fractional equations.

In this paper, the nonlinear system of local fractional partial differential equations is solved via Elzaki transform decomposition method. The method combines a and Adomian Applications related to are presented.

a computational method for numerical solution of a nonlinear volterra and fredholm integro-differentialequations of fractional order based on chebyshev cardinal functions is introduced. the chebyshev cardinaloperational matrix of fractional derivative is derived and used to transform the main equation to a system ofalgebraic equations. some examples are included to demonstrate the validity and ...

‎This paper presents the numerical solution for a class of fractional differential equations. The fractional derivatives are described in the Caputo cite{1} sense. We developed a reproducing kernel method (RKM) to solve fractional differential equations in reproducing kernel Hilbert space. This method cannot be used directly to solve these equations, so an equivalent transformation is made by u...

Fractional differential calculus have recently been addressed by many researchers of various fields of science and engineering such as physics, chemistry, biology, economics, control theory, and biophysics, etc. [1-4]. In particular, the existence of solutions to fractional boundary value problems is under strong research recently, see [5-7] and references therein. The fractional q-difference c...